Forschergruppe:SecondMeeting:RevisedProjects

Revised Project List

(Please give your input here, and add a 2 or 3 line description of the content of each project)

1. Cluster methods for spin systems (TP, AH, SW)

   (Göttingen:TP & AH, Stuttgart:SW, Dresden)

   2 PhD (Gö) = 1.5

   Outline: Step 1: Set up a cluster dynamical mean-field framework for (frustrated) spin systems. Step 2: Test solution with an ED impurity solver (frustrated systems are expected to yield a sign problem). Step 3: Work on QMC impurity solver(s). Go back to step 1 whenever necessary.

   Additional aspects:

   • QMC solver for frustrated spin systems

2. Quantum clusters with bosonic & fermionic baths (FA,PW(?),TP)

   (Wuerzburg, Zuerich:MT & PW (?), Goettingen:TP)

   2 PhD (Wü & Gö & Zü) = 1.5 or 1 PD (Wü - M. Hohenadler?)

   Outline.

   • Further development of continuous time QMC for clusters with bosonic and fermionic baths.
   • Problem: very long autocorrelation times calls for better updating schemes.
   • Applications. Electron-phonon and electron-electron correlations. eg: TTF-TCNQ. 2D CDW.
   • EDMFT.
   • Philipp, Matthias and Thomas please let me know if you have further suggestions.

   External collaborator(s): Holger Fehske

3. Cluster impurity solvers with DMRG (US,RN,EJ)

   (Aachen, Marburg, Hannover, Göttingen)

   2 PhD = 1.5

   Outline:

   • Multiorbital
   • Multichain (e.g., differentiated bath discretization)
   • Clusters for DCA, etc.

   Comments:

   • Old 3. and 4. consolidated into one project (RN)
   • Uli, please add feedback! (RN & EJ)

4. DMRG for dynamical response (RN & EJ)

   (Marburg, Hannover, Aachen, Dresden)

   2 PhD (Ma + Ha) = 1.5

   Outline:

   • Nonlinear reponse
   • Intermarriage of DDMRG and t-DMRG (especially for long-time response or steady state)
   • Low, but finite temperatures

   Comments:

   • formerly 5. DDMRG++ (EJ & RN)
   • Goettingen definitely is interested here, too (not necessarily requesting resources, though)

5. 2D DMRG (PEPS, etc.) (US,MT)

   (Hannover, Aachen, Marburg, Zürich, Dresden)

   2 PhD (Aa, Zü) = 1.5

   • Different methods
   • First step: ladder systems?
   • PetaFLOP computing

6. QMC methods for real-time dynamics (MT[PW])

   (Zürich, Göttingen, Stuttgart, Würzburg)

   1 PhD = 0.75

   • Philipp: we need some specifics here!

7. Dynamics of Exotic Quantum Magnets (SW)

   (Stuttgart, Dresden, Göttingen,Würzburg)

   1 PhD = 0.75

8. Exact Diagonalization methods for PetaFLOP Machines (AL)

   (Göttingen, everyone)

   1 PhD = 0.75

   • New computing paradigms
   • Extension to other numerical methods

Total positions: 13x0.75 = 9.75 or 11x0.75 + 1 = 9.25