Proof for an upper bound in fixed-node Monte Carlo for lattice fermions

D. F.B. Ten Haaf, H. J.M. Van Bemmel, J. M.J. Van Leeuwen, W. Van Saarloos, D. M. Ceperley

Research output: Contribution to journalArticlepeer-review

Abstract

We justify a recently proposed prescription for performing Green function Monte Carlo calculations on systems of lattice fermions, by which one is able to avoid the sign problem. We generalize the prescription such that it can also be used for problems with hopping terms of different signs. We prove that the effective Hamiltonian, used in this method, leads to an upper bound for the ground-state energy of the real Hamiltonian, and we illustrate the effectiveness of the method on small systems.

Original languageEnglish (US)
Pages (from-to)13039-13045
Number of pages7
JournalPhysical Review B
Volume51
Issue number19
DOIs
StatePublished - 1995

ASJC Scopus subject areas

  • Condensed Matter Physics

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