ALPS - Recent changes [en]

ALPS 2 Tutorials:MC-05 Bosons

2010-09-08T15:49:50Z

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	The parameter file [http://alps.comp-phys.org/static/tutorials2.0.0/mc-05-bosons/parm5a parm5a] sets up Monte Carlo simulations of the quantum Bose Hubbard model on a square lattice with 4x4 sites for a couple of hopping parameters (t=0.01, 0.02, ..., 0.1) using the worm code.		The parameter file [http://alps.comp-phys.org/static/tutorials2.0.0/mc-05-bosons/parm5a parm5a] sets up Monte Carlo simulations of the quantum Bose Hubbard model on a square lattice with 4x4 sites for a couple of hopping parameters (t=0.01, 0.02, ..., 0.1) using the worm code.

-	~~LATTICE_LIBRARY~~="~~../lattices.xml~~";	+	LATTICE="square lattice";
-	L=4;	+	L=4;
-	~~MODEL_LIBRARY~~="~~../models.xml~~";	+	MODEL="boson Hubbard";
-	NONLOCAL=0;	+	NONLOCAL=0;
-	U = 1.0;	+	U = 1.0;
-	mu = 0.5;	+	mu = 0.5;
-	Nmax = 2;	+	Nmax = 2;
-	T = 0.1;	+	T = 0.1;
-	SWEEPS=500000;	+	SWEEPS=500000;
-	THERMALIZATION=10000;	+	THERMALIZATION=10000;
-	{ t=0.01; }	+	{ t=0.01; }
-	{ t=0.02; }	+	{ t=0.02; }
-	{ t=0.03; }	+	{ t=0.03; }
-	{ t=0.04; }	+	{ t=0.04; }
-	{ t=0.05; }	+	{ t=0.05; }
-	{ t=0.06; }	+	{ t=0.06; }
-	{ t=0.07; }	+	{ t=0.07; }
-	{ t=0.08; }	+	{ t=0.08; }
-	{ t=0.09; }	+	{ t=0.09; }
-	{ t=0.1; }	+	{ t=0.1; }
		+

	Using the standard sequence of commands you can run the simulation using the quantum worm code		Using the standard sequence of commands you can run the simulation using the quantum worm code

Developers

2010-09-08T05:40:18Z

ALPS Developers:

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	* [[User:Rigarash \| Ryo Igarashi]]		* [[User:Rigarash \| Ryo Igarashi]]
	* [[User:Aml \| Andreas Läuchli]]		* [[User:Aml \| Andreas Läuchli]]
		+	* Ping Nang Ma
	* Salvatore Manmana		* Salvatore Manmana
	* Munehisa Matsumoto		* Munehisa Matsumoto

CECAM School 2010

2010-09-08T05:19:04Z

←Older revision		Revision as of 05:19, 8 September 2010
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	\| 14:00-15:00, HIT F21:<br/> Shi Ming, ARPES		\| 14:00-15:00, HIT F21:<br/> Shi Ming, ARPES
	\|\| 14:00-15:00, HPT C103:<br/> Vassilis Tangoulis, Magnetic Systems		\|\| 14:00-15:00, HPT C103:<br/> Vassilis Tangoulis, Magnetic Systems
-	\|\| 14:00-15:00, HIT F21:<br/> Daniel Greif, ~~Cold Atoms~~	+	\|\| 14:00-15:00, HIT F21:<br/> Daniel Greif,"Fermi-Hubbard physics<br/> with ultracold fermions in optical lattices"
	\|\| 13:30-15:00, HPT C103:<br/> Series expansion (Trebst)		\|\| 13:30-15:00, HPT C103:<br/> Series expansion (Trebst)
	\|\| 13:30-15:00, HPT C103:<br/> DMFT II (Werner)		\|\| 13:30-15:00, HPT C103:<br/> DMFT II (Werner)

Developers

2010-09-08T03:27:01Z

←Older revision		Revision as of 03:27, 8 September 2010
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	* Salvatore Manmana		* Salvatore Manmana
	* Munehisa Matsumoto		* Munehisa Matsumoto
		+	* [[User:Halm \| Haruhiko Matsuo]]
	* [[User:ianmcc \| Ian McCulloch]]		* [[User:ianmcc \| Ian McCulloch]]
	* [[User:Reinhard \| Reinhard Noack]]		* [[User:Reinhard \| Reinhard Noack]]

Download and install ALPS 2

2010-09-06T15:03:41Z

Installing the ALPS libraries and applications (MacOSX and Windows):

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	=== Installing the ALPS libraries and applications (MacOSX and Windows) ===		=== Installing the ALPS libraries and applications (MacOSX and Windows) ===

-	To install the binary releases for MacOS X and Windows just download the appropriate installer above and install it on your system. The installation location is /opt/alps on MacOS and "C:Program Files\ALPS" or "C:Program Files (x86)" on Windows.	+	To install the binary releases for MacOS X and Windows just download the appropriate installer above and install it on your system. The installation location is /opt/alps on MacOS and "C:Program Files\ALPS" or "C:Program Files (x86)\ALPS" on Windows.

	=== Installing Vistrails and the ALPS Vistrails extensions ===		=== Installing Vistrails and the ALPS Vistrails extensions ===

ALPS 2 Tutorials:DMFT-05 OSMT

2010-09-06T08:34:08Z

Tutorial 05: Orbitally Selective Mott Transition:

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	In an orbitally selective Mott transition some of the orbitals involved become Mott insulating as a function of doping or interactions, while others stay metallic.		In an orbitally selective Mott transition some of the orbitals involved become Mott insulating as a function of doping or interactions, while others stay metallic.

-	As a minimal model we consider two bands: a wide band and a narrow band. In addition to the intra-orbital Coulomb repulsion $U$ we consider interactions $U'$, and $J$, with $U' = U-2J$. We limit ourselves to Ising-like interactions - a simplification that is often problematic for real compounds.	+	As a minimal model we consider two bands: a wide band and a narrow band. In addition to the intra-orbital Coulomb repulsion <math>U</math> we consider interactions <math>U'</math>, and <math>J</math>, with <math>U' = U-2J</math>. We limit ourselves to Ising-like interactions - a simplification that is often problematic for real compounds.

-	We choose here a case with two bandwidth $t1=0.5$ and $t2=1$ and density-density like interactions of $U'=U/2$, $J=U/4$, and $U$ between $1.6$ and $2.8$, where the first case shows a Fermi liquid-like behavior in both orbitals, the $U=2.2$ is orbitally selective, and $U=2.8$ is insulating in both orbitals.	+	We choose here a case with two bandwidth <math>t1=0.5</math> and <math>t2=1</math> and density-density like interactions of <math>U'=U/2</math>, <math>J=U/4</math>, and <math>U</math> between <math>1.6</math> and <math>2.8</math>, where the first case shows a Fermi liquid-like behavior in both orbitals, the <math>U=2.2</math> is orbitally selective, and <math>U=2.8</math> is insulating in both orbitals.

	The python command lines for running the simulations are found in [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-05-osmt/tutorial5a.py tutorial5a.py]. Alternatively, you can use the [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-05-osmt/dmft-05-osmt.vt Vistrails file]:		The python command lines for running the simulations are found in [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-05-osmt/tutorial5a.py tutorial5a.py]. Alternatively, you can use the [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-05-osmt/dmft-05-osmt.vt Vistrails file]:

ALPS 2 Tutorials:DMFT-04 Mott

2010-09-06T08:30:00Z

Tutorial 04: Mott Transition:

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	Mott transitions are metal insulator transitions (MIT) that occur in many materials, e.g. transition metal compounds, as a function of pressure or doping. The [http://dx.doi.org/10.1103/RevModPhys.70.1039 review by Imada ''et al.''] gives an excellent introduction to the subject and mentions <math>V_2O_3</math> and the organics as typical examples.		Mott transitions are metal insulator transitions (MIT) that occur in many materials, e.g. transition metal compounds, as a function of pressure or doping. The [http://dx.doi.org/10.1103/RevModPhys.70.1039 review by Imada ''et al.''] gives an excellent introduction to the subject and mentions <math>V_2O_3</math> and the organics as typical examples.

-	MIT are easily investigated by DMFT as the relevant physics is essentially local (or k-independent): At half filling the MIT can by modeled by a self energy with a pole at <math>\omega=0</math> which splits the noninteracting band into an upper and a lower Hubbard band. In this context it is instructive to suppress antiferromagnetic long range order and enforce a paramagnetic solution in the DMFT simulation, to mimic the paramagnetic insulating phase. For this the up and down spin of the Green's functions are symmetrized (parameter <tt>SYMMETRIZATION = 1;</tt>).	+	MIT are easily investigated by DMFT as the relevant physics is essentially local (or k-independent): At half filling the MIT can be modeled by a self energy with a pole at <math>\omega=0</math> which splits the noninteracting band into an upper and a lower Hubbard band. In this context it is instructive to suppress antiferromagnetic long range order and enforce a paramagnetic solution in the DMFT simulation, to mimic the paramagnetic insulating phase. For this the up and down spin of the Green's functions are symmetrized (parameter <tt>SYMMETRIZATION = 1;</tt>).

	In order to run the simulations in python type or use [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-04-mott/tutorial4a.py tutorial4a.py] or the [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-04-mott/dmft-04-mott.vt Vistrails file]:		In order to run the simulations in python type or use [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-04-mott/tutorial4a.py tutorial4a.py] or the [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-04-mott/dmft-04-mott.vt Vistrails file]:
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	Starting from a non-interacting solution we see in the imaginary time Green's function that the solution is metallic for <math>U/t \leq 4.5</math>, and insulating for <math>U/t\geq 5</math>. A coexistence region could be found by starting from an insulating (or atomic) solution and trying to convert it for smaller <math>U</math>.		Starting from a non-interacting solution we see in the imaginary time Green's function that the solution is metallic for <math>U/t \leq 4.5</math>, and insulating for <math>U/t\geq 5</math>. A coexistence region could be found by starting from an insulating (or atomic) solution and trying to convert it for smaller <math>U</math>.

-	Imaginary time Green's functions are not easy to interpret, and therefore many authors [http://dx.doi.org/10.1016/0370-1573(95)00074-7 employ analytic continuation methods]. There are however two clear features: the value at <math>\beta</math> corresponds to <math>-n</math>, the negative value of the density (per spin). And the value at <math>\beta/2</math> goes for decreasing temperature to <math>A(\omega=0)</math>, the spectral function at the Fermi energy: <math>\beta G(\beta/2 \rightarrow A(0)</math>. From a temperature dependence of the imaginary time Green's function we can therefore immediately see if the system is metallic or insulating.	+	Imaginary time Green's functions are not easy to interpret, and therefore many authors [http://dx.doi.org/10.1016/0370-1573(95)00074-7 employ analytic continuation methods]. There are however two clear features: the value at <math>\beta</math> corresponds to <math>-n</math>, the negative value of the density (per spin). And the value at <math>\beta/2</math> goes for decreasing temperature to <math>A(\omega=0)</math>, the spectral function at the Fermi energy: <math>\beta G(\beta/2) \rightarrow A(0)</math>. From a temperature dependence of the imaginary time Green's function we can therefore immediately see if the system is metallic or insulating.
	In order to better inspect the behavior of the Green's function we will plot the data on a logarithmic scale:		In order to better inspect the behavior of the Green's function we will plot the data on a logarithmic scale:

ALPS 2 Tutorials:DMFT-01 Intro

2010-09-06T08:22:51Z

Introduction - The ALPS DMFT tutorials:

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	The dynamical mean field theory (or DMFT) provides an approximate solution to the quantum many body problem, in which the local physics is treated exactly but spatial correlations are neglected. Originally discussed in infinite dimensions, where the approximation becomes exact, it is now mostly used for the simulation of correlated materials, e.g. in conjunction with LDA in the so-called LDA+DMFT method. In this limit the lattice problem maps onto an impurity problem with a time-dependent effective action, and a self-consistency condition. The effective action is solved by an impurity solver. An [http://dx.doi.org/10.1063/1.1712502 introductory article] as well as [http://link.aip.org/link/?APC/715/3/1 lecture notes] and various [http://dx.doi.org/10.1103/RevModPhys.78.865 reviews] give an introduction to the subject.		The dynamical mean field theory (or DMFT) provides an approximate solution to the quantum many body problem, in which the local physics is treated exactly but spatial correlations are neglected. Originally discussed in infinite dimensions, where the approximation becomes exact, it is now mostly used for the simulation of correlated materials, e.g. in conjunction with LDA in the so-called LDA+DMFT method. In this limit the lattice problem maps onto an impurity problem with a time-dependent effective action, and a self-consistency condition. The effective action is solved by an impurity solver. An [http://dx.doi.org/10.1063/1.1712502 introductory article] as well as [http://link.aip.org/link/?APC/715/3/1 lecture notes] and various [http://dx.doi.org/10.1103/RevModPhys.78.865 reviews] give an introduction to the subject.

-	We discuss two impurity solver algorithms: an implementation of the [http://dx.doi.org/10.1103/PhysRevLett.97.076405 hybridization expansion] code, as well as an implementation of the interaction expansion algorithm. The discrete time [http://dx.doi.org/10.1103/PhysRevLett.56.2521 Hirsch Fye] code is obsolete and serves mostly as a pedagogical example code;	+	We discuss two impurity solver algorithms: an implementation of the [http://dx.doi.org/10.1103/PhysRevLett.97.076405 hybridization expansion] code, as well as an implementation of the interaction expansion algorithm. The discrete time [http://dx.doi.org/10.1103/PhysRevLett.56.2521 Hirsch Fye] code is obsolete and serves mostly as a pedagogical example code.

	Tutorial 02 will introduce the Metal - AFM insulator transition as a function of temperature in infinite dimension, using a hybridization expansion impurity solver. Tutorial 03 will repeat the same exercise with an interaction expansion solver. Tutorial 04 and 05 will give an introduction to the Mott transition and orbitally selective Mott transition, and tutorial 06 shows an application to a paramagnetic metal.		Tutorial 02 will introduce the Metal - AFM insulator transition as a function of temperature in infinite dimension, using a hybridization expansion impurity solver. Tutorial 03 will repeat the same exercise with an interaction expansion solver. Tutorial 04 and 05 will give an introduction to the Mott transition and orbitally selective Mott transition, and tutorial 06 shows an application to a paramagnetic metal.

ALPS 2 Tutorials:DMFT-02 Hybridization

2010-09-06T08:17:48Z

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	H = 0; Magnetic field		H = 0; Magnetic field
	SYMMETRIZATION = 0; We are not enforcing a paramagnetic self consistency condition		SYMMETRIZATION = 0; We are not enforcing a paramagnetic self consistency condition
-	SOLVER = Hybridization; The ~~path to the external Hirsch Fye~~ solver	+	SOLVER = Hybridization; The Hybridization solver

	To start a simulation type:		To start a simulation type:
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	The code will run for up to 10 self-consistency iterations. In the directory in which you run the program you will find Green's functions files <tt>G_tau_?</tt> as well the self energies (<tt>selfenergy_?</tt>) and Green's functions in frequency space <tt>G_omega_?</tt> in your output directory. <tt>G_tau</tt> in these examples has two entries: a spin-up and a spin-down column. The entry at <tt>\beta</tt> is the negative density; where it is different outside of error bars the system is in an antiferromagnetic phase.		The code will run for up to 10 self-consistency iterations. In the directory in which you run the program you will find Green's functions files <tt>G_tau_?</tt> as well the self energies (<tt>selfenergy_?</tt>) and Green's functions in frequency space <tt>G_omega_?</tt> in your output directory. <tt>G_tau</tt> in these examples has two entries: a spin-up and a spin-down column. The entry at <tt>\beta</tt> is the negative density; where it is different outside of error bars the system is in an antiferromagnetic phase.
	You can run the following lines in the python shell in order to plot the Green's functions for different <math>\beta</math> and compare your result to Fig. 11 of [http://dx.doi.org/10.1103/RevModPhys.68.13 Georges ''it et al.''].		You can run the following lines in the python shell in order to plot the Green's functions for different <math>\beta</math> and compare your result to Fig. 11 of [http://dx.doi.org/10.1103/RevModPhys.68.13 Georges ''it et al.''].
-	In tutorial 07 we will reproduce the same results with a discrete-time Quantum Monte Carlo code: the Hirsch Fye code . The parameters are the same, apart from the command for the solver.	+	In tutorial 07 we will reproduce the same results with a discrete-time Quantum Monte Carlo code: the Hirsch Fye code. The parameters are the same, apart from the command for the solver.

	You can find the parameter files (called <tt>*tsqrt2</tt>) in the directory <tt>tutorials/dmft-02-hybridization</tt> in the examples. If you want to use Vistrails to run your DMFT-simulations, you can use [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-01-hirschfye/dmft-02-hybridization.vt dmft-02-hybridization.vt].		You can find the parameter files (called <tt>*tsqrt2</tt>) in the directory <tt>tutorials/dmft-02-hybridization</tt> in the examples. If you want to use Vistrails to run your DMFT-simulations, you can use [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-01-hirschfye/dmft-02-hybridization.vt dmft-02-hybridization.vt].
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	plt.legend()		plt.legend()
	plt.show()		plt.show()
		+
		+	It is usually best to observe convergence in the self energy, which is much more sensitive. Note that longer simulations are required to obtain smoother Green's fuctions and self energies.

Download and install ALPS 2

2010-09-06T08:02:15Z

Pre-release 2.0b3:

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	=== Pre-release 2.0b3 ===		=== Pre-release 2.0b3 ===

-	'''Important note:''' make sure to completely remove any previous ALPS-2 installation before installing the beta release.	+	'''Important note:'''
		+	# make sure to completely remove any previous ALPS-2 installation before installing the beta release.
		+	# boost-1.43 is recommended for this beta release

	{\| border="1" cellpadding="5" cellspacing="0"		{\| border="1" cellpadding="5" cellspacing="0"

ALPS 2 Tutorials:DMFT-07 Hirsch-Fye

2010-09-06T07:56:10Z

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-	=Tutorial 01: Hirsch Fye Code=	+	=Tutorial 07: Hirsch Fye Code=
	We start by running a discrete time Monte Carlo code: the [http://dx.doi.org/10.1103/PhysRevLett.56.2521 Hirsch Fye] code. As an example we reproduce Fig. 11 in the DMFT review by [http://dx.doi.org/10.1103/RevModPhys.68.13 Georges ''it et al.'']. The series of six curves shows how the system, a Hubbard model on the Bethe lattice with interaction <math>U=3D/\sqrt{2}</math> at half filling, enters an antiferromagnetic phase upon cooling.		We start by running a discrete time Monte Carlo code: the [http://dx.doi.org/10.1103/PhysRevLett.56.2521 Hirsch Fye] code. As an example we reproduce Fig. 11 in the DMFT review by [http://dx.doi.org/10.1103/RevModPhys.68.13 Georges ''it et al.'']. The series of six curves shows how the system, a Hubbard model on the Bethe lattice with interaction <math>U=3D/\sqrt{2}</math> at half filling, enters an antiferromagnetic phase upon cooling.

ALPS 2 Tutorials:DMFT-02 Hybridization

2010-09-06T07:55:15Z

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	res = pyalps.runDMFT(input_file)		res = pyalps.runDMFT(input_file)

-	After running these simulations compare the output to the Hirsch Fye results. To rerun a simulation, you can specify a starting solution by defining <tt>G0OMEGA_INPUT</tt>, e.g. copy <tt>G0omga_output</tt> to <tt>G0_omega_input</tt>, specify <tt>G0OMEGA_INPUT = G0_omega_input</tt> in the parameter file and rerun the code.	+	After running these simulations compare the output to the Hirsch Fye results of tutorials 07 or the DMFT review, or to the interaction expansion results of the next tutorial. To rerun a simulation, you can specify a starting solution by defining <tt>G0OMEGA_INPUT</tt>, e.g. copy <tt>G0omga_output</tt> to <tt>G0_omega_input</tt>, specify <tt>G0OMEGA_INPUT = G0_omega_input</tt> in the parameter file and rerun the code.
	As in the [http://alps.comp-phys.org/mediawiki/index.php/ALPS_2_Tutorials:DMFT-01_Hirsch-Fye Tutorial DMFT-01 Hirsch-Fye] you can observe the transition to the antiferromagnetic phase by plotting the Green's functions using the script:		As in the [http://alps.comp-phys.org/mediawiki/index.php/ALPS_2_Tutorials:DMFT-01_Hirsch-Fye Tutorial DMFT-01 Hirsch-Fye] you can observe the transition to the antiferromagnetic phase by plotting the Green's functions using the script:

ALPS 2 Tutorials:Overview

2010-09-06T07:53:39Z

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	* [[ALPS_2_Tutorials:DMFT-01_Intro \| DMFT-01 An introduction to Continuous-Time QMC impurity solver algorithms]]		* [[ALPS_2_Tutorials:DMFT-01_Intro \| DMFT-01 An introduction to Continuous-Time QMC impurity solver algorithms]]
-	* [[ALPS_2_Tutorials:DMFT-02_Hybridization \| DMFT-01 CT-HYB: the CT-HYB QMC solver]]	+	* [[ALPS_2_Tutorials:DMFT-02_Hybridization \| DMFT-02 CT-HYB: the CT-HYB QMC solver]]
	* [[ALPS_2_Tutorials:DMFT-03_Interaction \| DMFT-03 CT-INT: the CT-INT QMC solver]]		* [[ALPS_2_Tutorials:DMFT-03_Interaction \| DMFT-03 CT-INT: the CT-INT QMC solver]]
	* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]

Special:Log/move

2010-09-06T07:52:53Z

ALPS 2 Tutorials:DMFT-01 Hybridization moved to ALPS 2 Tutorials:DMFT-02 Hybridization over redirect

ALPS 2 Tutorials:DMFT-01 Hybridization

2010-09-06T07:52:11Z

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	=Tutorial 02: Hybridization Expansion CT-HYB =		=Tutorial 02: Hybridization Expansion CT-HYB =
-	We ~~will now reproduce the same result with~~ a continuous-time ~~Quantum~~ Monte Carlo code: the ~~Hybridization or~~ CT-HYB ~~code by [http://prl~~.~~aps~~.~~org/abstract/PRL/v97/i7/e076405 Werner ''et al.''] and~~ [http://dx.doi.org/10.1103/~~PhysRevB~~.74.~~155107 Werner and Millis~~]. The ~~parameters are~~ the ~~same~~, ~~apart from~~ the ~~command for the solver:~~	+	We start by running a continuous-time quantum Monte Carlo code - the hybridization expansion algorithm CT-HYB. As an example we reproduce Fig. 11 in the DMFT review by [http://dx.doi.org/10.1103/RevModPhys.68.13 Georges ''it et al.'']. The series of six curves shows how the system, a Hubbard model on the Bethe lattice with interaction <math>U=3D/\sqrt{2}</math> at half filling, enters an antiferromagnetic phase upon cooling.

-	SOLVER=Hybridization	+	The CT-HYB simulation will run for about a minute per iteration. The parameter files for running this simulation can be found in the directory <tt>tutorials/dmft-02-hybridization</tt>.
		+
		+	All DMFT tutorials can either be started using vistrails, or directly by invoking a command on the command line. The vistrails scripts described in the following automatically generate parameter files, run them, and plot the results. Running one of the dmft parameter sets manually, e.g. by entering the directory 'beta_14_U3_tsqrt2' in tutorials/dmft-02-hybridization, and running the dmft code '/opt/alps/bin/dmft hybrid.param' leads to the same results.
		+
		+	The main parameters are:
		+
		+	SEED = 0; //Monte Carlo Random Number Seed
		+	THERMALIZATION = 1000; Thermalization Sweeps
		+	SWEEPS = 1000000; Total Sweeps to be computed
		+	MAX_TIME = 60; Maximum time to run the simulation
		+	BETA = 12.; Inverse temperature
		+	SITES = 1; This is a single site DMFT simulation, so Sites is 1
		+	N = 16; Number of time slices (you will see that this parameter is rather small)
		+	NMATSUBARA = 500; The number of Matsubara frequencies
		+	U = 3; Interaction energy
		+	t = 1; hopping parameter. For the Bethe lattice considered here $W=2D=4t$
		+	MU = 0; Chemical potential
		+	H = 0; Magnetic field
		+	SYMMETRIZATION = 0; We are not enforcing a paramagnetic self consistency condition
		+	SOLVER = Hybridization; The path to the external Hirsch Fye solver
		+
		+	To start a simulation type:
		+
		+	dmft hybrid.param
		+
		+	The code will run for up to 10 self-consistency iterations. In the directory in which you run the program you will find Green's functions files <tt>G_tau_?</tt> as well the self energies (<tt>selfenergy_?</tt>) and Green's functions in frequency space <tt>G_omega_?</tt> in your output directory. <tt>G_tau</tt> in these examples has two entries: a spin-up and a spin-down column. The entry at <tt>\beta</tt> is the negative density; where it is different outside of error bars the system is in an antiferromagnetic phase.
		+	You can run the following lines in the python shell in order to plot the Green's functions for different <math>\beta</math> and compare your result to Fig. 11 of [http://dx.doi.org/10.1103/RevModPhys.68.13 Georges ''it et al.''].
		+	In tutorial 07 we will reproduce the same results with a discrete-time Quantum Monte Carlo code: the Hirsch Fye code . The parameters are the same, apart from the command for the solver.

	You can find the parameter files (called <tt>*tsqrt2</tt>) in the directory <tt>tutorials/dmft-02-hybridization</tt> in the examples. If you want to use Vistrails to run your DMFT-simulations, you can use [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-01-hirschfye/dmft-02-hybridization.vt dmft-02-hybridization.vt].		You can find the parameter files (called <tt>*tsqrt2</tt>) in the directory <tt>tutorials/dmft-02-hybridization</tt> in the examples. If you want to use Vistrails to run your DMFT-simulations, you can use [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-01-hirschfye/dmft-02-hybridization.vt dmft-02-hybridization.vt].

ALPS 2 Tutorials:DMFT-03 Interaction

2010-09-06T07:41:58Z

New page: = Tutorial 03: Interaction Expansion CT-INT = It is instructive to run the same calculations as in Tutorial 02 with a CT-INT code. This code performs an [http://link.aps.org/doi/10.1103/...

New page

= Tutorial 03: Interaction Expansion CT-INT =

It is instructive to run the same calculations as in Tutorial 02 with a CT-INT code. This code performs an [http://link.aps.org/doi/10.1103/PhysRevB.72.035122 expansion in the interaction] (instead of the hybridization).
The corresponding parameter files are very similar, you can find them in the directory <tt>tutorials/dmft-03-interaction</tt>. If you prefer to run the simulations in python you can use [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-03-interaction/tutorial3a.py tutorial3a.py] and [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-03-interaction/tutorial3b.py tutorial3b.py] or use the [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-03-interaction/dmft-03-interaction.vt Vistrails file].

Tutorial by [[User:Gullc|Emanuel]] - Please don't hesitate to ask!

ALPS 2 Tutorials:DMFT-01 Hybridization

2010-09-06T07:41:04Z

Tutorial 03: Interaction Expansion CT-INT:

←Older revision		Revision as of 07:41, 6 September 2010
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	plt.legend()		plt.legend()
	plt.show()		plt.show()
-
-	~~= Tutorial 03: Interaction Expansion CT-INT =~~
-
-	It is also instructive to run these calculations with a CT-INT code. This code performs an [http://link.aps.org/doi/10.1103/PhysRevB.72.035122 expansion in the interaction] (instead of the hybridization).
-	The corresponding parameter files are very similar, you can find them in the directory <tt>tutorials/dmft-03-interaction</tt>. If you prefer to run the simulations in python you can use [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-03-interaction/tutorial3a.py tutorial3a.py] and [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-03-interaction/tutorial3b.py tutorial3b.py] or use the [http://alps.comp-phys.org/static/tutorials2.0.0/dmft-03-interaction/dmft-03-interaction.vt Vistrails file].
-
-	~~Tutorial by [[User:Gullc\|Emanuel]] - Please don't hesitate to ask!~~

ALPS 2 Tutorials:DMFT-01 Intro

2010-09-06T07:40:32Z

New page: = Introduction - The ALPS DMFT tutorials = This is a set of six introductory tutorials for the ALPS DMFT code. They should illustrate the Dynamical Mean Field Theory and in particular show...

New page

= Introduction - The ALPS DMFT tutorials =
This is a set of six introductory tutorials for the ALPS DMFT code. They should illustrate the Dynamical Mean Field Theory and in particular showcase some application of the new continuous-time impurity solvers.

The dynamical mean field theory (or DMFT) provides an approximate solution to the quantum many body problem, in which the local physics is treated exactly but spatial correlations are neglected. Originally discussed in infinite dimensions, where the approximation becomes exact, it is now mostly used for the simulation of correlated materials, e.g. in conjunction with LDA in the so-called LDA+DMFT method. In this limit the lattice problem maps onto an impurity problem with a time-dependent effective action, and a self-consistency condition. The effective action is solved by an impurity solver. An [http://dx.doi.org/10.1063/1.1712502 introductory article] as well as [http://link.aip.org/link/?APC/715/3/1 lecture notes] and various [http://dx.doi.org/10.1103/RevModPhys.78.865 reviews] give an introduction to the subject.

We discuss two impurity solver algorithms: an implementation of the [http://dx.doi.org/10.1103/PhysRevLett.97.076405 hybridization expansion] code, as well as an implementation of the interaction expansion algorithm. The discrete time [http://dx.doi.org/10.1103/PhysRevLett.56.2521 Hirsch Fye] code is obsolete and serves mostly as a pedagogical example code;

Tutorial 02 will introduce the Metal - AFM insulator transition as a function of temperature in infinite dimension, using a hybridization expansion impurity solver. Tutorial 03 will repeat the same exercise with an interaction expansion solver. Tutorial 04 and 05 will give an introduction to the Mott transition and orbitally selective Mott transition, and tutorial 06 shows an application to a paramagnetic metal.

ALPS 2 Tutorials:DMFT-07 Hirsch-Fye

2010-09-06T07:38:18Z

←Older revision		Revision as of 07:38, 6 September 2010
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-	~~= Introduction - The ALPS DMFT tutorials =~~
-	This set of six tutorials are a short tutorial to the ALPS DMFT code. They should illustrate the Dynamical Mean Field Theory and in particular showcase some application of the new continuous-time impurity solvers.
-
-	The dynamical mean field theory (or DMFT) provides an approximate solution to the quantum many body problem, in which the local physics is treated exactly but spatial correlations are neglected. Originally discussed in infinite dimensions, where the approximation becomes exact, it is now mostly used for the simulation of correlated materials, e.g. in conjunction with LDA in the so-called LDA+DMFT method. In this limit the lattice problem maps onto an impurity problem with a time-dependent effective action, and a self-consistency condition. The effective action is solved by an impurity solver. An [http://dx.doi.org/10.1063/1.1712502 introductory article] as well as [http://link.aip.org/link/?APC/715/3/1 lecture notes] and various [http://dx.doi.org/10.1103/RevModPhys.78.865 reviews] give an introduction to the subject.
-
-	We discuss two impurity solver algorithms: an implementation of the [http://dx.doi.org/10.1103/PhysRevLett.97.076405 hybridization expansion] code, as well as an implementation of the interaction expansion algorithm. The discrete time [http://dx.doi.org/10.1103/PhysRevLett.56.2521 Hirsch Fye] code is obsolete and serves mostly as a pedagogical example code;
-
-	The first tutorial will introduce the Metal - AFM insulator transition as a function of temperature in infinite dimension, using a Hirsch-Fye (HF) impurity solver. Tutorial 02 will repeat the same exercise with a hybridization expansion solver. Tutorial 03 illustrates the metal to paramagnetic insulator transition as a function of interaction. Tutorial 04 and 05 will give an introduction to the Mott transition and orbitally selective Mott transition.
-
	=Tutorial 01: Hirsch Fye Code=		=Tutorial 01: Hirsch Fye Code=
	We start by running a discrete time Monte Carlo code: the [http://dx.doi.org/10.1103/PhysRevLett.56.2521 Hirsch Fye] code. As an example we reproduce Fig. 11 in the DMFT review by [http://dx.doi.org/10.1103/RevModPhys.68.13 Georges ''it et al.'']. The series of six curves shows how the system, a Hubbard model on the Bethe lattice with interaction <math>U=3D/\sqrt{2}</math> at half filling, enters an antiferromagnetic phase upon cooling.		We start by running a discrete time Monte Carlo code: the [http://dx.doi.org/10.1103/PhysRevLett.56.2521 Hirsch Fye] code. As an example we reproduce Fig. 11 in the DMFT review by [http://dx.doi.org/10.1103/RevModPhys.68.13 Georges ''it et al.'']. The series of six curves shows how the system, a Hubbard model on the Bethe lattice with interaction <math>U=3D/\sqrt{2}</math> at half filling, enters an antiferromagnetic phase upon cooling.

ALPS 2 Tutorials:Overview

2010-09-06T07:37:46Z

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	'''Dynamical Mean Field Theory (DMFT) solvers'''		'''Dynamical Mean Field Theory (DMFT) solvers'''

-	* [[ALPS_2_Tutorials:DMFT-~~01_Hybridization~~ \| DMFT-01 CT-~~HYB and~~ DMFT-03: the CT-HYB QMC solver]]	+	* [[ALPS_2_Tutorials:DMFT-01_Intro \| DMFT-01 An introduction to Continuous-Time QMC impurity solver algorithms]]
-	* [[ALPS_2_Tutorials:DMFT-~~02_Interaction~~ \| DMFT-02 CT-INT ~~and DMFT-03~~: the CT-INT QMC solver]]	+	* [[ALPS_2_Tutorials:DMFT-02_Hybridization \| DMFT-01 CT-HYB: the CT-HYB QMC solver]]
		+	* [[ALPS_2_Tutorials:DMFT-03_Interaction \| DMFT-03 CT-INT: the CT-INT QMC solver]]
	* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]
	* [[ALPS_2_Tutorials:DMFT-05_OSMT \| DMFT-05 Orbitally Selective Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-05_OSMT \| DMFT-05 Orbitally Selective Mott Transition ]]
	* [[ALPS_2_Tutorials:DMFT-06_Paramagnet \| DMFT-06 Paramagnetic metal ]]		* [[ALPS_2_Tutorials:DMFT-06_Paramagnet \| DMFT-06 Paramagnetic metal ]]
-	* [[ALPS_2_Tutorials:DMFT-07_Hirsch-Fye \| DMFT-~~01 Introduction and the~~ Hirsch-Fye solver ]]	+	* [[ALPS_2_Tutorials:DMFT-07_Hirsch-Fye \| DMFT-07 The Hirsch-Fye solver ]]
	\|-		\|-
	\| bgcolor="#FFFFFF" width="100%" valign="top" style="border: 1px solid #E8F1FF;padding-left:0.5em;padding-right:0.5em;"\|		\| bgcolor="#FFFFFF" width="100%" valign="top" style="border: 1px solid #E8F1FF;padding-left:0.5em;padding-right:0.5em;"\|

Special:Log/move

2010-09-06T07:34:55Z

ALPS 2 Tutorials:DMFT-02 Hybridization moved to ALPS 2 Tutorials:DMFT-01 Hybridization: Moving the Hybridization expansion tutorial to be the first tutorial

Special:Log/move

2010-09-06T07:33:59Z

ALPS 2 Tutorials:DMFT-01 Hirsch-Fye moved to ALPS 2 Tutorials:DMFT-07 Hirsch-Fye: Moving DMFT HF tutorial to the very end - HF is deprecated.

ALPS 2 Tutorials:Overview

2010-09-06T07:32:31Z

←Older revision		Revision as of 07:32, 6 September 2010
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	'''Dynamical Mean Field Theory (DMFT) solvers'''		'''Dynamical Mean Field Theory (DMFT) solvers'''
-	* [[ALPS_2_Tutorials:DMFT-~~01_Hirsch-Fye~~ \| DMFT-01 ~~Introduction~~ and the ~~Hirsch~~-~~Fye~~ solver ]]	+
-	* [[ALPS_2_Tutorials:DMFT-~~02_Hybridization~~ \| DMFT-02 CT-~~HYB~~ and DMFT-03: the ~~CT-HYB and~~ CT-INT QMC ~~solvers~~]]	+	* [[ALPS_2_Tutorials:DMFT-01_Hybridization \| DMFT-01 CT-HYB and DMFT-03: the CT-HYB QMC solver]]
		+	* [[ALPS_2_Tutorials:DMFT-02_Interaction \| DMFT-02 CT-INT and DMFT-03: the CT-INT QMC solver]]
	* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]
	* [[ALPS_2_Tutorials:DMFT-05_OSMT \| DMFT-05 Orbitally Selective Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-05_OSMT \| DMFT-05 Orbitally Selective Mott Transition ]]
	* [[ALPS_2_Tutorials:DMFT-06_Paramagnet \| DMFT-06 Paramagnetic metal ]]		* [[ALPS_2_Tutorials:DMFT-06_Paramagnet \| DMFT-06 Paramagnetic metal ]]
-		+	* [[ALPS_2_Tutorials:DMFT-07_Hirsch-Fye \| DMFT-01 Introduction and the Hirsch-Fye solver ]]
	\|-		\|-
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CECAM School 2010

2010-09-06T06:27:17Z

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	== Location ==		== Location ==

-	All lectures are held on the ETH Hoenggerberg campus. [http://www.ethz.ch/about/location/hoengg Click here for instructions how to get there.]	+	All lectures are held on the ETH Hoenggerberg campus. [http://www.ethz.ch/about/location/hoengg/index_EN Click here for instructions how to get there.]

	Below you'll find maps of the campus and the buildings:		Below you'll find maps of the campus and the buildings:
		+	* [[Media:Situationsplan_HPT.pdf \| Plan of campus]]
		+	* [[Media:Situationsplan_HITF21.pdf \| How to find HIT F21]]

Special:Log/upload

2010-09-06T06:25:24Z

uploaded "Image:Situationsplan HITF21.pdf": Another map for CECAM 2010.

Special:Log/upload

2010-09-06T06:23:33Z

uploaded "Image:Situationsplan HPT.pdf": Plan of ETH Hoenggerberg campus for CECAM summer school.

CECAM School 2010

2010-09-06T06:15:44Z

New page

This website contains schedule, arrival information, and other resources for the CECAM Workshop to take place at ETH Zurich from September 13 to September 17.

__TOC__

== Schedule ==

{| border="1" cellpadding="4" style="margin:1em 1em 1em 0; background:#f9f9f9; border:1px #AAA solid; border-collapse:collapse; empty-cells:show;"
|- style="font-style:italic; background:#c0c0c0;"
! Monday !! Tuesday !! Wednesday !! Thursday !! Friday
|-
| 9:00-10:30, HPT C103: Monte Carlo (Troyer)
|| 9:00-10:30, HPT C103: Exact Diagonalization I (Läuchli)
|| 9:00-10:30, HPT C103: QMC II (Pollet)
|| 9:00-10:30, HPT C103: Extended Ensembles (Trebst)
|| 9:00-10:30, HPT C103: Exact Diagonalization II (Läuchli)
|-
| 10:30-11:00 Coffee break
|| 10:30-11:00 Coffee break
|| 10:30-11:00 Coffee break
|| 10:30-11:00 Coffee break
|| 10:30-11:00 Coffee break
|-
| 11:00-12:30, HPT C103: Quantum Monte Carlo I (Troyer)
|| 11:00-12:30, HPT C103: DMRG I (Schollwöck)
|| 11:00-12:30, HPT C103: DMRG II (Schollwöck)
|| 11:00-12:30, HPT C103: QMC III (Pollet)
|| 11:00-12:30, HPT C103: DMFT I (Werner)
|-
| 14:00-15:00, HIT F21: Shi Ming, ARPES
|| 14:00-15:00, HPT C103: Vassilis Tangoulis, Magnetic Systems
|| 14:00-15:00, HIT F21: Daniel Greif, Cold Atoms
|| 13:30-15:00, HPT C103: Series expansion (Trebst)
|| 13:30-15:00, HPT C103: DMFT II (Werner)
|-
| 15:00-15:30: Coffee break
|| 15:00-15:30: Coffee break
|| 15:00-15:30: Coffee break
|| 15:00-15:30: Coffee break
|| 15:00-15:30: Coffee break
|-
| 15:30-18:00, HIT F21: Hands-on
|| 15:30-18:00, HIT F21: Hands-on
|| 15:30-18:00, HIT F21: Hands-on
|| 15:30-18:00, HIT F21: Hands-on
|| 15:30-18:00, HIT F21: Hands-on
|}

== Location ==

All lectures are held on the ETH Hoenggerberg campus. [http://www.ethz.ch/about/location/hoengg Click here for instructions how to get there.]

Below you'll find maps of the campus and the buildings:

ALPS:Community Portal

2010-09-06T05:45:10Z

←Older revision		Revision as of 05:45, 6 September 2010
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	== News in 2010 ==		== News in 2010 ==
-	* '''September 13-17:''' [[CECAM School \| CECAM Summer School on Simulation of Strongly Correlated Systems]] in Zurich	+	* '''September 13-17:''' [[CECAM School 2010 \| CECAM Summer School on Simulation of Strongly Correlated Systems]] in Zurich

	== News in 2007 ==		== News in 2007 ==

Developers

2010-09-06T05:44:19Z

←Older revision		Revision as of 05:44, 6 September 2010
Line 8:		Line 8:
	* [[User:Fabricio \|A. Fabricio Albuquerque]]		* [[User:Fabricio \|A. Fabricio Albuquerque]]
	* [[User:Fabien \|Fabien Alet]]		* [[User:Fabien \|Fabien Alet]]
		+	* Bela Bauer
	* Philippe Corboz		* Philippe Corboz
	* [[User:Feiguin \| Adrian Feiguin]]		* [[User:Feiguin \| Adrian Feiguin]]
Line 22:		Line 23:
	* Lode Pollet		* Lode Pollet
	* Uli Schollwöck		* Uli Schollwöck
		+	* Brigitte Surer
	* [[User:Tincani \| Leonildo Tincani]]		* [[User:Tincani \| Leonildo Tincani]]
	* [[User:Wistaria \| Synge Todo]]		* [[User:Wistaria \| Synge Todo]]

ALPS:Community Portal

2010-09-06T05:43:47Z

←Older revision		Revision as of 05:43, 6 September 2010
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	\| bgcolor="#FFFFFF" width="75%" rowspan="2" valign="top" style="border: 0px solid black;padding-left:1em;padding-right:1em;"\|		\| bgcolor="#FFFFFF" width="75%" rowspan="2" valign="top" style="border: 0px solid black;padding-left:1em;padding-right:1em;"\|
		+
		+	== News in 2010 ==
		+	* '''September 13-17:''' [[CECAM School \| CECAM Summer School on Simulation of Strongly Correlated Systems]] in Zurich

	== News in 2007 ==		== News in 2007 ==

Download and install ALPS 2

2010-09-02T12:47:19Z

Libraries and tools needed to build ALPS:

←Older revision		Revision as of 12:47, 2 September 2010
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	The directed loop SSE code also needs		The directed loop SSE code also needs
-	* [http://lpsolve.sourceforge.net/ LPSolve] 5.1 (not 5.5), which can be downloaded [http://alps.comp-phys.org/static/software/lp_solve_5.1_source.tar.gz here]. Depending on your version of bison there might be a compilation problem with lp_solve. To solve this problem, comment out line 17 "extern int yyleng" of the file lpglob.h.	+	* [http://lpsolve.sourceforge.net/ LPSolve] 5.1 (not 5.5), which can be downloaded [http://alps.comp-phys.org/static/software/lp_solve_5.1_source.tar.gz here]. The lpsolve51 subdirectory contains build scripts for different platforms. Refer to the accompanying README files for detailed instructions.
		+	** Depending on your version of bison there might be a compilation problem with lp_solve. To solve this problem, comment out line 17 "extern int yyleng" of the file lpglob.h.
		+	** On Mac OS X, if you encounter the error 'unrecognized command line option "-Wno-long-double"', you must edit the build script ccc.osx and remove "-Wno-long-double" from line 12. Afterwards, rerun "sh ccc.osx".

←Older revision		Revision as of 05:19, 8 September 2010
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	\| 14:00-15:00, HIT F21:<br/> Shi Ming, ARPES		\| 14:00-15:00, HIT F21:<br/> Shi Ming, ARPES
	\|\| 14:00-15:00, HPT C103:<br/> Vassilis Tangoulis, Magnetic Systems		\|\| 14:00-15:00, HPT C103:<br/> Vassilis Tangoulis, Magnetic Systems
-	\|\| 14:00-15:00, HIT F21:<br/> Daniel Greif, ~~Cold Atoms~~	+	\|\| 14:00-15:00, HIT F21:<br/> Daniel Greif,"Fermi-Hubbard physics<br/> with ultracold fermions in optical lattices"
	\|\| 13:30-15:00, HPT C103:<br/> Series expansion (Trebst)		\|\| 13:30-15:00, HPT C103:<br/> Series expansion (Trebst)
	\|\| 13:30-15:00, HPT C103:<br/> DMFT II (Werner)		\|\| 13:30-15:00, HPT C103:<br/> DMFT II (Werner)

←Older revision		Revision as of 07:53, 6 September 2010
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	* [[ALPS_2_Tutorials:DMFT-01_Intro \| DMFT-01 An introduction to Continuous-Time QMC impurity solver algorithms]]		* [[ALPS_2_Tutorials:DMFT-01_Intro \| DMFT-01 An introduction to Continuous-Time QMC impurity solver algorithms]]
-	* [[ALPS_2_Tutorials:DMFT-02_Hybridization \| DMFT-01 CT-HYB: the CT-HYB QMC solver]]	+	* [[ALPS_2_Tutorials:DMFT-02_Hybridization \| DMFT-02 CT-HYB: the CT-HYB QMC solver]]
	* [[ALPS_2_Tutorials:DMFT-03_Interaction \| DMFT-03 CT-INT: the CT-INT QMC solver]]		* [[ALPS_2_Tutorials:DMFT-03_Interaction \| DMFT-03 CT-INT: the CT-INT QMC solver]]
	* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]

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	'''Dynamical Mean Field Theory (DMFT) solvers'''		'''Dynamical Mean Field Theory (DMFT) solvers'''

-	* [[ALPS_2_Tutorials:DMFT-~~01_Hybridization~~ \| DMFT-01 CT-~~HYB and~~ DMFT-03: the CT-HYB QMC solver]]	+	* [[ALPS_2_Tutorials:DMFT-01_Intro \| DMFT-01 An introduction to Continuous-Time QMC impurity solver algorithms]]
-	* [[ALPS_2_Tutorials:DMFT-~~02_Interaction~~ \| DMFT-02 CT-INT ~~and DMFT-03~~: the CT-INT QMC solver]]	+	* [[ALPS_2_Tutorials:DMFT-02_Hybridization \| DMFT-01 CT-HYB: the CT-HYB QMC solver]]
		+	* [[ALPS_2_Tutorials:DMFT-03_Interaction \| DMFT-03 CT-INT: the CT-INT QMC solver]]
	* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]
	* [[ALPS_2_Tutorials:DMFT-05_OSMT \| DMFT-05 Orbitally Selective Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-05_OSMT \| DMFT-05 Orbitally Selective Mott Transition ]]
	* [[ALPS_2_Tutorials:DMFT-06_Paramagnet \| DMFT-06 Paramagnetic metal ]]		* [[ALPS_2_Tutorials:DMFT-06_Paramagnet \| DMFT-06 Paramagnetic metal ]]
-	* [[ALPS_2_Tutorials:DMFT-07_Hirsch-Fye \| DMFT-~~01 Introduction and the~~ Hirsch-Fye solver ]]	+	* [[ALPS_2_Tutorials:DMFT-07_Hirsch-Fye \| DMFT-07 The Hirsch-Fye solver ]]
	\|-		\|-
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←Older revision		Revision as of 07:32, 6 September 2010
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	'''Dynamical Mean Field Theory (DMFT) solvers'''		'''Dynamical Mean Field Theory (DMFT) solvers'''
-	* [[ALPS_2_Tutorials:DMFT-~~01_Hirsch-Fye~~ \| DMFT-01 ~~Introduction~~ and the ~~Hirsch~~-~~Fye~~ solver ]]	+
-	* [[ALPS_2_Tutorials:DMFT-~~02_Hybridization~~ \| DMFT-02 CT-~~HYB~~ and DMFT-03: the ~~CT-HYB and~~ CT-INT QMC ~~solvers~~]]	+	* [[ALPS_2_Tutorials:DMFT-01_Hybridization \| DMFT-01 CT-HYB and DMFT-03: the CT-HYB QMC solver]]
		+	* [[ALPS_2_Tutorials:DMFT-02_Interaction \| DMFT-02 CT-INT and DMFT-03: the CT-INT QMC solver]]
	* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-04_Mott \| DMFT-04 Mott Transition ]]
	* [[ALPS_2_Tutorials:DMFT-05_OSMT \| DMFT-05 Orbitally Selective Mott Transition ]]		* [[ALPS_2_Tutorials:DMFT-05_OSMT \| DMFT-05 Orbitally Selective Mott Transition ]]
	* [[ALPS_2_Tutorials:DMFT-06_Paramagnet \| DMFT-06 Paramagnetic metal ]]		* [[ALPS_2_Tutorials:DMFT-06_Paramagnet \| DMFT-06 Paramagnetic metal ]]
-		+	* [[ALPS_2_Tutorials:DMFT-07_Hirsch-Fye \| DMFT-01 Introduction and the Hirsch-Fye solver ]]
	\|-		\|-
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