Loop algorithm for classical antiferromagnetic Heisenberg models with biquadratic interactions

Hiroshi Shinaoka, Yusuke Tomita, Yukitoshi Motome

Research output: Contribution to journalConference articlepeer-review

2 Citations (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.

Original languageEnglish
Article number012009
JournalJournal of Physics: Conference Series
Publication statusPublished - 2011
Externally publishedYes
EventInternational Conference on Frustration in Condensed Matter, ICFCM - Sendai, Japan
Duration: 2011 Jan 112011 Jan 14

ASJC Scopus subject areas

  • Physics and Astronomy(all)


Dive into the research topics of 'Loop algorithm for classical antiferromagnetic Heisenberg models with biquadratic interactions'. Together they form a unique fingerprint.

Cite this