Loop Algorithm for Heisenberg Models with Biquadratic Interaction and Phase Transitions in Two Dimensions.

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  • Harada Kenji
    Department of Applied Analysis and Complex Dynamical Systems, Kyoto University, Kyoto 606-8501
  • Kawashima Naoki
    Department of Physics, Tokyo Metropolitan University, Tokyo 192-0397

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説明

We present a new algorithm for quantum Monte Carlo simulation based on global updating with loops. While various theoretical predictions are confirmed in one dimension, we find, for S=1 systems on a square lattice with an antiferromagnetic biquadratic interaction, that the intermediate phase between the antiferromagnetic and the ferromagnetic phases is disordered and that the two phase transitions are both of the first order in contrast to the one-dimensional case. It is strongly suggested that the transition points coincide with those at which the algorithm changes qualitatively.

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