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

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

1994-12-07

arxiv.org/abs/cond-mat/9412037v1

Physics

Condensed Matter

14 pages in revtex v3.0, no figures

Scientific paper

10.1103/PhysRevB.51.13039

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.

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