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

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High Performance Computing in Science and Engineering ’98
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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.

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© 1999 Springer-Verlag Berlin Heidelberg

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Brunner, M., Muramatsu, A. (1999). Quantum Monte Carlo simulations of one hole in the t-J model. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58600-2_11

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  • DOI: https://doi.org/10.1007/978-3-642-58600-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63661-5

  • Online ISBN: 978-3-642-58600-2

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