Numerical Study for an Equilibrium in the Recursive Stochastic State Selection Method
| dc.creator | Munehisa, Tomo | |
| dc.creator | Munehisa, Yasuko | |
| dc.date | 2004-03-25 | |
| dc.date.accessioned | 2026-07-25T15:32:56Z | |
| dc.description | 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. | |
| dc.description | 13 pages, 15 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0403626 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0403626 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/34796 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Numerical Study for an Equilibrium in the Recursive Stochastic State Selection Method | |
| dc.type | text |