Abstract
As a continuation of a previous paper [J. Phys. Soc. Jpn. 56 (1987) 1490], the variational Monte-Carlo method is extended to include the antiferromagnetic long-range order. The theory is based on the Gutzwiller-type correlation factor and its effect is exactly taken into account by the Monte-Carlo procedure. An application is made to the half-filled-band case of one-dimensional lattice (50 sites), two-dimensional square lattice (up to 20x20 sites) and three-dimensional simple cubic lattice (6 x 6 x 6 sites). The result is qualitatively different from previous studies relying on the random-phase-type “Gutzwiller approximation.” The variational energy for two and three dimensions is favorably compared with Hirsch's quantum Monte-Carlo data.
| Original language | English |
|---|---|
| Pages (from-to) | 3582-3592 |
| Number of pages | 11 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 56 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1987 |