Numerical Study for an Equilibrium in the Recursive Stochastic State Selection Method

Details Numerical Study for an Equilibrium in the Recursive Stochastic State Selection Method Numerical Study for an Equilibrium in the Recursive Stochastic State Selection Method

2004-03-25

arxiv.org/abs/cond-mat/0403626v1

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 15 figures

Scientific paper

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.

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