Quantum Monte Carlo simulations of one hole in the t-J model

M. Brunner and A. Muramatsu
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M. Brunner: Universität Stuttgart, Institut für Theoretische Physik III
A. Muramatsu: Universität Stuttgart, Institut für Theoretische Physik III

A chapter in High Performance Computing in Science and Engineering ’98, 1999, pp 95-104 from Springer

Abstract: Abstract Numerical simulations of the two-dimensional t-J model with one hole in the limit J/t ≪ 1 are performed for rather large systems (N ~ 10 × 10) using a world-line loop-algorithm. It is shown that in the one-hole case with J = 0, very low temperatures (ßt ~ 3000) are necessary in order to reach Nagaoka’s state. Full polarization becomes unstable for J ~ 10-4t towards partial polarization up to J/t ≲ 0.01. J/t ≳ 0.05 leads to minimal spin. The two-hole case shows enhanced total spin up to the lowest attainable temperatures (ßt = 150), well below those reached by other finite-temperature methods.

Keywords: Hubbard Model; Total Spin; Partial Polarization; Strong Coupling Limit; Exact Diagonalization (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-58600-2_11

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DOI: 10.1007/978-3-642-58600-2_11

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