Quantum Monte Carlo simulations of infinitely strongly correlated fermions

Abstract

Numerical simulations of the two-dimensional t-J model in the limit $J/t\ll 1$ are performed for rather large systems (up to $N=12\times 12$) using a world-line loop-algorithm. It is shown that in the one-hole case with J=0, where no minus signs appear, very low temperatures ($\beta t\sim 3000$) are necessary in order to reach Nagaoka's state. $J/t \ltsim 0.05$ leads to the formation of partially polarized systems, whereas $J/t \gtsim 0.05 $ corresponds to minimal spin. The two-hole case shows enhanced total spin up to the lowest attainable temperatures ($\beta t=150$).

6 pages, 5 figures

Cited by in corpus (12)

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