A Constrained Path Quantum Monte Carlo Method for Fermion Ground States

Details A Constrained Path Quantum Monte Carlo Method for Fermion Ground States A Constrained Path Quantum Monte Carlo Method for Fermion Ground States

1995-03-10

arxiv.org/abs/cond-mat/9503055v1

Phys. Rev. Lett. 74, 3652 (1995)

Physics

Condensed Matter

uuencoded compressed postscript file. 5 pages with 1 figure. accepted by PRL.

Scientific paper

10.1103/PhysRevLett.74.3652

We propose a new quantum Monte Carlo algorithm to compute fermion ground-state properties. The ground state is projected from an initial wavefunction by a branching random walk in an over-complete basis space of Slater determinants. By constraining the determinants according to a trial wavefunction $|\Psi_T \rangle$, we remove the exponential decay of signal-to-noise ratio characteristic of the sign problem. The method is variational and is exact if $|\Psi_T\rangle$ is exact. We report results on the two-dimensional Hubbard model up to size $16\times 16$, for various electron fillings and interaction strengths.

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