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Condensed Matter > Strongly Correlated Electrons
Title: A flexible class of exact Hubbard-Stratonovich transformations
(Submitted on 9 Nov 2022 (v1), last revised 10 May 2023 (this version, v2))
Abstract: We consider a class of Hubbard-Stratonovich transformations suitable for treating Hubbard interactions in the context of quantum Monte Carlo simulations. A tunable parameter $p$ allows us to continuously vary from a discrete Ising auxiliary field ($p=\infty$) to a compact auxiliary field that couples to electrons sinusoidally ($p=0$). In tests on the single-band Hubbard model, we find that the severity of the sign problem decreases systematically with increasing $p$. Selecting $p$ finite, however, enables continuous sampling methods like the Langevin or Hamiltonian Monte Carlo methods. We explore the tradeoffs between various simulation methods through numerical benchmarks.
Submission history
From: Benjamin Cohen-Stead [view email][v1] Wed, 9 Nov 2022 18:06:23 GMT (149kb,D)
[v2] Wed, 10 May 2023 16:58:33 GMT (617kb,D)
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