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Green Function Monte Carlo with Stochastic Reconfiguration

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Sorella, Sandro·1998·Physical Review Letters

Abstract

A new method for the stabilization of the sign problem in the Green function Monte Carlo technique is proposed. The method is devised for real lattice Hamiltonians and is based on an iterative ``stochastic reconfiguration'' scheme which introduces some bias but allows a stable simulation with constant sign. The systematic reduction of this bias is possible in principle. The method is applied to the frustrated ${J}_{1}{\ensuremath{-}J}_{2}$ Heisenberg model, and tested against exact diagonalization data. Evidence of a finite spin gap for ${J}_{2}{/J}_{1}>\ensuremath{\sim}0.4$ is found in the thermodynamic limit.

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Metadata

Authors
Sorella, S.
Venue
Physical Review Letters
Published
1998-05-18
Volume
80
Issue
20
Pages
4558-4561
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2079488937
Cited by
269
References
0
FWCI
6.13
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Green Function Monte Carlo with Stochastic Reconfiguration. https://app.cochat.ai/papers/10.1103/physrevlett.80.4558
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Sorella, S. (1998). Green Function Monte Carlo with Stochastic Reconfiguration. Physical Review Letters. https://doi.org/10.1103/physrevlett.80.4558

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