Constrained path quantum Monte Carlo method for fermion ground states

Journal Article · Mon May 01 04:00:00 EDT 1995 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.74.3652· OSTI ID:55256

Zhang, S ^[1]; Carlson, J; Gubernatis, J E ^[2]

---

1. Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

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

• OSTI ID: 55256
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 74; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGORITHMS
CALCULATION METHODS
FERMIONS
GROUND STATES
HUBBARD MODEL
MANY-BODY PROBLEM
MONTE CARLO METHOD
SLATER METHOD
VARIATIONAL METHODS