The development of DeerQMC in Python has stopped, and the software is in the process of being migrated to Fortran 2008. The idea is to implemented all numerically intensive parts in Fortran, and expose the routines to Python (or Julia) through a library.
DeerQMC is an implementation of the Determinantal Quantum Monte Carlo simulation to study the one- and two-dimensional Hubbard models. Its main feature is that it implements an anisotropic transformation of the electron-electron interaction on every lattice site, which can be chosen freely (cf. [1] of the revelant papers).
DeerQMC is currently under heavy development and therefore by no means stable. At the moment, it is mainly concerned with generating a Markov-Chain of lattice configurations.
The TODO contains some information on the outstanding fixes and possible
extensions.
A full documentation on how to use this software is in preparation and will be made available once it has (again) reached a sufficiently stable state. In the meantime, an introductory review of the DQMC method (as well as an extended list of the relevant literature) can be found in my Master thesis available at: http://kth.diva-portal.org/smash/record.jsf?searchId=1&pid=diva2:708672
If you obtained your numerical results using this software, I would kindly ask you to send me an email with a reference to your work, and to cite this software as:
R. J. Beckert, DeerQMC (2014), GitHub repository, https://github.com/SuperFluffy/DeerQMC-Fortran
Currently, DeerQMC is build with Fortran 2008, with gfortran 4.9 and ifort 15.* in mind.
Future releases will most likely depend LAPACK 3.15 and tested against the latest OpenBLAS
and Intel MKL, as well as the latest HDF5. For unit testing, pFunit.
- E. Langmann, 2013, Unpublished Notes
- http://dx.doi.org/10.1103/PhysRevD.24.2278
- http://dx.doi.org/10.1103/PhysRevB.28.4059
- http://dx.doi.org/10.1103/PhysRevB.31.4403
- “Stabilization of Simulations of Many-Fermion Systems” (pp. 156--167) in Proceedings of the Los Alamos Conference on Quantum Simulation (1990)
- The proposal for a generalized discrete Hubbard-Stratonovich transformation and motivation for this implementation.
- The initial proposal by Blanckenbecler, Scalapino, and Sugar for carrying out Monte Carlo calculations of field theories with Fermionic degrees of freedom by integrating these out.
- Hirsch's discrete Hubbard-Stratonovich transformation to replace the on-site electron-electron interaction by a coupling to Bosonic (Ising) fields.
- The original paper by Hirsch introducing the algorithm to simulate the two-dimensional Hubbard model.
- Necessary stabilization methods for calculating the Green's functions occuring in the simulation.