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ALPS references

The ALPS project has been outlined in the following two manuscripts which now serve as the standard reference for the ALPS project:

F. Alet et al. (ALPS collaboration)
The ALPS project: open source software for strongly correlated systems
J. Phys. Soc. Jpn. Suppl. 74, 30 (2005).
F. Albuquerque et al. (ALPS collaboration)
The ALPS project release 1.3: open source software for strongly correlated systems
Journal of Magnetism and Magnetic Materials 310, 1187 (2007).

Code and method references

The following list contains additional references for individual libraries, applications, and the implemented numerical methods:

ALPS codes
Numerical methods
  • The scheduler library
M. Troyer, Beat Ammon and Elmar Heeb
Parallel object oriented Monte Carlo Simulations
Lect. Notes Comput. Sci. 1505, 191 (1998).
  • The looper code
S. Todo and K. Kato
Cluster Algorithms for General-S Quantum Spin Systems
Phys. Rev. Lett. 87, 047203 (2001).
  • The SSE code
Fabien Alet, Stefan Wessel, and Matthias Troyer
Generalized directed loop method for quantum Monte Carlo simulations
Phys. Rev. E 71, 036706 (2005).
  • Stochastic Series Expansion (SSE)
A. W. Sandvik and J. Kurkijärvi
"Quantum Monte Carlo simulation method for spin systems"
Phys. Rev. B 43, 5950 (1991).
A. W. Sandvik
"A generalization of Handscomb's quantum Monte Carlo scheme-application to the 1D Hubbard model"
J. Phys. A 25, 3667 (1992).
O.F. Syljuåsen and A.W. Sandvik
"Quantum Monte Carlo with directed loops"
Phys. Rev. E 66, 046701 (2002).
  • The worm code
  • The worm algorithm
N.V. Prokof'ev, B.V. Svistunov, I.S. Tupitsyn
Exact, Complete and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
Phys. Lett. A 238, 253 (1998),
Sov. Phys. - JETP 87,310 (1998), cond-mat/9703200.
  • Non-local Updates
M. Troyer, F. Alet, S. Trebst, S. Wessel
Non-local Updtes for Quantum Monte Carlo Simulations
AIP Conference Proceedings 690, 400 (2003).
  • The QWL code
  • Extended ensemble simulations
  • The DMRG code

  • The Density Matrix Renormalization Group (DMRG)
S. R. White
Density matrix formulation for quantum renormalization groups
Phys. Rev. Lett. 69, 2863 (1992).
S. R. White
Density-matrix algorithms for quantum renormalization groups
Phys. Rev. B 48, 10345 (1993).
U. Schollwöck
The density-matrix renormalization group
Rev. Mod. Phys. 77, 259 (2005).
Karen Hallberg
New Trends in Density Matrix Renormalization
Adv. Phys. 55, 477 (2006).


The following is a collection of talks on the ALPS project and talks from the user and developer workshops.

  • Talks from the tutorial at PSI (Sep. 2006)
  • ALPS Overview (M. Troyer)
  • Introduction to ALPS XML [PDF] [Keynote] (S. Todo)
  • Exact Diagonalization (M. Troyer)
  • Introduction to Monte Carlo [PDF] (L. Pollet)
  • Quantum Monte Carlo [PDF] (F. Alet)

Papers citing the ALPS project

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42) Steven R. White and A.L. Chernyshev
Neel order in square and triangular lattice Heisenberg models

41) Stefan Wessel
Phase Diagram of Interacting Bosons on the Honeycomb Lattice
Phys. Rev. B 75, 174301 (2007).

40) S. Henning, F. Koermann, J. Kienert, S. Schwieger and W. Nolting
Green function theory versus Quantum Monte Carlo calculations for thin magnetic films

39) Fa Wang, Ashvin Vishwanath, and Yong Baek Kim
Quantum and Classical Spins on the Spatially Distorted Kagome Lattice: Applications to Volborthite

38) Philipp Werner and Andrew J. Millis
High-spin to low-spin and orbital polarization transitions in multiorbital Mott systems

37) Yoshitaka Maeda, Chisa Hotta, Masaki Oshikawa
Universal temperature dependence of the magnetization of gapped spin chains

36) Sergei L. Lukyanov and Philipp Werner
Resistively shunted Josephson junctions: QFT predictions versus MC results

35) Fabien Alet, Sylvain Capponi, Nicolas Laflorencie, and Matthieu Mambrini
Valence Bond Entanglement Entropy

34) Philipp Werner and Andrew J. Millis
Efficient DMFT-simulation of the Holstein-Hubbard Model

33) Vassilis Tangoulis
Monte Carlo Studies of a MnII Molecular System with a 2D trellis layer coupled-ladder configuration
Chem. Phys. 332, 271 (2007).

32) A. Feiguin, S. Trebst, A. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. Freedman
Interacting anyons in topological quantum liquids: The golden chain
Phys. Rev. Lett. 98, 160409 (2007).

31) Doron Bergman, Jason Alicea, Emanuel Gull, Simon Trebst, Leon Balents
Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets

30) Zengo Tsuboi
A note on the high temperature expansion of the density matrix for the isotropic Heisenberg chain
Physica A 377, 95 (2007).

29) Philipp Werner and Andrew J. Millis
Doping-driven Mott transition in the one-band Hubbard model
Phys. Rev. B 75, 085108 (2007).

28) Emanuel Gull, Philipp Werner, Andrew J. Millis, and Matthias Troyer
Performance analysis of continuous-time solvers for quantum impurity models

27) Karen Hallberg
New Trends in Density Matrix Renormalization
Adv. Phys. 55, 477 (2006).

26) Simon Trebst, Philipp Werner, Matthias Troyer, Kirill Shtengel, and Chetan Nayak
Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
Phys. Rev. Lett. 98, 070602 (2007).

25) Fabien Alet, Yacine Ikhlef, Jesper Lykke Jacobsen, Gregoire Misguich, and Vincent Pasquier
Classical dimers with aligning interactions on the square lattice
Phys. Rev. E 74, 041124 (2006).

24) K.P. Schmidt, J. Dorier, A. Läuchli, and F. Mila
Single-particle versus pair condensation of hard-core bosons with correlated hopping
Phys. Rev. B 74, 174508 (2006).

23) Corinna Kollath, Andreas Läuchli, and Ehud Altman
Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
Phys. Rev. Lett. 98, 180601 (2007).

22) Philipp Werner and Andrew J. Millis
Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
Phys. Rev. B 74, 155107 (2006).

21) M. Lewenstein et al.
Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond

20) Synge Todo
Universal Reduction of Effective Coordination Number in the Quasi-One-Dimensional Ising Model
Phys. Rev. B 74, 104415 (2006).

19) Sergei L. Lukyanov and Philipp Werner
Universal scaling behavior of the single electron box in the strong tunneling limit
J. Stat. Mech. P11002 (2006).

18) B. Pedrini, S. Wessel, J.L. Gavilano, H.R. Ott, S.M. Kazakov and J. Karpinski
Quenching of the Haldane gap in LiVSi2O6 and related compounds
Eur. Phys. J. B 55, 219 (2007).
This paper cites a future release of the ALPS from the year 12005.

17) Gunnar Moller and R. Moessner
Artificial square ice and related dipolar nanoarrays
Phys. Rev. Lett. 96, 237202 (2006).

16) J. Wehr et al.
Disorder versus the Mermin-Wagner-Hohenberg Effect: From Classical Spin Systems to Ultracold Atomic Gases
Phys. Rev. B 74, 224448 (2006).

15) Fabien Alet et al.
Unconventional continuous phase transition in a three dimensional dimer model
Phys. Rev. Lett. 97, 030403 (2006).

14) O. Gygi et al.
Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps
Phys. Rev. A 73, 063606 (2006).

13) Mohamad Al Hajj et al.
Parity law of the singlet-triplet gap in graphitic ribbons
Eur. Phys. J. B 51, 517 (2006).

12) Philipp Werner, Armin Comanac, Luca de’ Medici, Matthias Troyer, and Andrew J. Millis
A continuous-time solver for quantum impurity models
Phys. Rev. Lett. 97, 076405 (2006).

11) Reinhard M. Noack and Salvatore R. Manmana
Diagonalization- and Numerical Renormalization-Group-Based Methods for Interacting Quantum Systems
AIP Conf. Proc. 789, 93 (2005).

10) Philipp Werner, Gil Rafael, and Matthias Troyer
Simulation results for an interacting pair of resistively shunted Josephson junctions
J. Stat. Mech. P12003 (2005).

9) Simon Trebst et al.
d-wave resonating valence bond states of fermionic atoms in optical lattices
Phys. Rev. Lett. 96, 250402 (2006).

8) Zengo Tsuboi and Masahiro Shiroishi
High temperature expansion of emptiness formation probability for isotropic Heisenberg chain
J. Phys. A 38 L363 (2005).

7) Salvatore R. Manmana, Alejandro Muramatsu, and Reinhard M. Noack
Time evolution of one-dimensional Quantum Many Body Systems
AIP Conf. Proc. 789, 269 (2005).

6) Fabien Alet et al.
Interacting classical dimers on the square lattice
Phys. Rev. Lett. 94, 235702 (2005).

5) Johannes Richter, Jörg Schulenburg, and Andreas Honecker
Quantum Magnetism in Two Dimensions: From Semi-classical Néel Order to Magnetic Disorder
Lect. Notes Phys. 645, 85 (2004).

4) Omid Nohadani, Stefan Wessel, and Stephan Haas
Quantum Phase Transitions in Coupled Dimer Compounds
Phys. Rev. B 72, 024440 (2005).

3) Philipp Werner and Matthias Troyer
Effective charging energy of the single electron box
J. Stat. Mech. P01003 (2005).

2) Philipp Werner and Matthias Troyer
A cluster algorithm for resistively shunted Josephson junctions
Phys. Rev. Lett. 95, 060201 (2005).

1) Fabien Alet, Stefan Wessel, and Matthias Troyer
Generalized Directed Loop Method for Quantum Monte Carlo Simulations
Phys. Rev. E 71, 036706 (2005).

0) Subir Sachdev, Philipp Werner, and Matthias Troyer
Universal conductance of nanowires near the superconductor-metal quantum transition
Phys. Rev. Lett. 92 237003 (2004).