Monte Carlo method for obtaining the ground-state properties of quantum spin systems
- 1 January 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 53 (2) , 668-673
- https://doi.org/10.1103/physrevb.53.668
Abstract
A Monte Carlo method to find the ground-state properties of quantum spin systems is presented. Transforming a quantum spin Hamiltonian in a matrix with non-negative elements, we set up a Markov process whose stationary probability is dominated by the leading eigenvector of this matrix. From the simulation of the Markov process, by means of a Metropolis algorithm, we obtain the properties and the energy of the ground state. The method is applied to the spin-1 isotropic, Heisenberg antiferromagnet chain. © 1996 The American Physical Society.Keywords
This publication has 22 references indexed in Scilit:
- Mathematical Statistical MechanicsPublished by Walter de Gruyter GmbH ,2015
- Monte Carlo study of quantum spin chainsPhysical Review B, 1993
- Ground-state correlations of quantum antiferromagnets: A Green-function Monte Carlo studyPhysical Review B, 1990
- Ground-state and low-lying excitations of the Heisenberg antiferromagnetPhysical Review B, 1989
- Ground-state properties of the two-dimensional antiferromagnetic Heisenberg modelPhysical Review B, 1989
- Spin-correlation function of theS=1antiferromagnetic Heisenberg chain atT=0Physical Review B, 1988
- Monte Carlo simulations of the spin-(1/2 Heisenberg antiferromagnet on a square latticePhysical Review B, 1988
- Gap of the linear spin-1 Heisenberg antiferromagnet: A Monte Carlo calculationPhysical Review B, 1986
- Monte Carlo simulation of quantum statistical lattice modelsPhysics Reports, 1985
- Monte Carlo simulations of one-dimensional fermion systemsPhysical Review B, 1982