Numerical Study for an Equilibrium in the Recursive Stochastic State Selection Method
Strongly Correlated Electrons
2007-05-23 v1 Statistical Mechanics
Abstract
We apply the recursive stochastic state selection method, which is a new method for Monte Carlo study we have recently developed, to quantum spin systems with positive definite Hamiltonians. Through numerical studies of two-dimensional J1-J2 Heisenberg model on a square lattice with unfrustrated couplings J1=1 and J2=-1 and with non-frustrated ones J1=1 and J2=0, we find that a kind of equilibrium is realized in these systems. We also observe that in this equilibrium we can obtain a quite accurate estimate of the energy eigenvalue for the system's ground state. Statistical relative errors in our results are 0.03% for the 36-site unfrustrated model and 0.06% for the 64-site non-frustrated model.
Cite
@article{arxiv.cond-mat/0403626,
title = {Numerical Study for an Equilibrium in the Recursive Stochastic State Selection Method},
author = {Tomo Munehisa and Yasuko Munehisa},
journal= {arXiv preprint arXiv:cond-mat/0403626},
year = {2007}
}
Comments
13 pages, 15 figures