Proof for an upper bound in fixed-node Monte Carlo for lattice fermions
- 15 May 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 51 (19), 13039-13045
- https://doi.org/10.1103/physrevb.51.13039
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.Keywords
This publication has 10 references indexed in Scilit:
- Fixed-Node Quantum Monte Carlo Method for Lattice FermionsPhysical Review Letters, 1994
- New stochastic method for systems with broken time-reversal symmetry: 2D fermions in a magnetic fieldPhysical Review Letters, 1993
- A quantum Monte Carlo approach to many-body physicsPhysics Reports, 1992
- Fixed-node Monte Carlo study of the two-dimensional Hubbard modelPhysical Review B, 1991
- Nonlocal pseudopotentials and diffusion Monte CarloThe Journal of Chemical Physics, 1991
- Ground-state correlations of quantum antiferromagnets: A Green-function Monte Carlo studyPhysical Review B, 1990
- Quantum Monte CarloScience, 1986
- Fixed-node quantum Monte Carlo for moleculesa) b)The Journal of Chemical Physics, 1982
- Ground State of the Electron Gas by a Stochastic MethodPhysical Review Letters, 1980
- A random-walk simulation of the Schrödinger equation: H+3The Journal of Chemical Physics, 1975