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Quantum Monte Carlo determinantal algorithm without Hubbard-Stratonovich transformation: a general consideration

A. N. Rubtsov
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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.

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A. N. Rubtsov. 2003-02-12. Quantum Monte Carlo determinantal algorithm without Hubbard-Stratonovich transformation: a general consideration. https://arxiv.org/abs/cond-mat/0302228

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