A quantum Monte-Carlo method for fermions, free of discretization errors
Strongly Correlated Electrons
2009-10-31 v1
Abstract
In this work we present a novel quantum Monte-Carlo method for fermions, based on an exact decomposition of the Boltzmann operator . It can be seen as a synthesis of several related methods. It has the advantage that it is free of discretization errors, and applicable to general interactions, both for ground-state and finite-temperature calculations. The decomposition is based on low-rank matrices, which allows faster calculations. As an illustration, the method is applied to an analytically solvable model (pairing in a degenerate shell) and to the Hubbard model.
Cite
@article{arxiv.cond-mat/9805255,
title = {A quantum Monte-Carlo method for fermions, free of discretization errors},
author = {S. Rombouts and K. Heyde and N. Jachowicz},
journal= {arXiv preprint arXiv:cond-mat/9805255},
year = {2009}
}
Comments
5 pages, 4 figures, submitted to Phys. Rev. Lett