Loop algorithm for classical antiferromagnetic Heisenberg models with biquadratic interactions

Hiroshi Shinaoka, Yusuke Tomita, Yukitoshi Motome

研究成果: Conference article査読

2 被引用数 (Scopus)


Monte Carlo simulation using the standard single-spin flip algorithm often fails to sample over the entire configuration space at low temperatures for frustrated spin systems. A typical example is a class of spin-ice type Ising models. In this case, the difficulty can be avoided by introducing a global-flip algorithm, the loop algorithm. Similar difficulty is encountered in O(3) Heisenberg models in the presence of biquadratic interaction. The loop algorithm, however, is not straightforwardly applied to this case, since the system does not have a priori spin-anisotropy axis for constructing the loops. We propose an extension of the loop algorithm to the bilinear-biquadratic models. The efficiency is tested for three different ways to flip spins on a loop in Monte Carlo simulation. We show that the most efficient method depends on the strength of the biquadratic interaction.

ジャーナルJournal of Physics: Conference Series
出版ステータスPublished - 2011
イベントInternational Conference on Frustration in Condensed Matter, ICFCM - Sendai, Japan
継続期間: 2011 1月 112011 1月 14

ASJC Scopus subject areas

  • 物理学および天文学一般


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