Quantum Monte Carlo determinantal algorithm without Hubbard-Stratonovich transformation: a general consideration
Strongly Correlated Electrons
2007-05-23 v1
Abstract
Continuous-time determinantal algorithm is proposed for the quantum Monte Carlo simulation of the interacting fermions. The scheme does not invoke Hubbard-Stratonovich transformation. The fermionic action is divided into two parts. One of them contains the interaction and certain additional terms; another one is purely Gaussian. The first part is considered as a perturbation. Terms of the series expansion for the partition function are generated in a random walk process. The sign problem and the complexity of the algorithm are analyzed. We argue that the scheme should be useful particularly for the systems with non-local interaction.
Cite
@article{arxiv.cond-mat/0302228,
title = {Quantum Monte Carlo determinantal algorithm without Hubbard-Stratonovich transformation: a general consideration},
author = {A. N. Rubtsov},
journal= {arXiv preprint arXiv:cond-mat/0302228},
year = {2007}
}
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5 Pages