Loop algorithm for Heisenberg models with biquadratic interaction and phase transitions in two dimensions

Details Loop algorithm for Heisenberg models with biquadratic interaction and phase transitions in two dimensions Loop algorithm for Heisenberg models with biquadratic interaction and phase transitions in two dimensions

2000-11-21

arxiv.org/abs/cond-mat/0011346v2

J. Phys. Soc. Jpn. 70, 13(2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages including 4 figures, to appear in JPSJ

Scientific paper

10.1143/JPSJ.70.13

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 those at which the algorithm changes qualitatively.

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