Monte Carlo Study of Chiral Criticality--XY and Heisenberg Stacked-Triangular Antiferromagnets

  • Kawamura Hikaru
    Department of Physics, College of General Education, Osaka University

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タイトル別名
  • Monte Carlo Study of Chiral Criticality —<I>XY</I> and Heisenberg Stacked-Triangular Antiferromagnets
  • Monte Carlo Study of Chiral Criticality
  • Monte Carlo Study of Chiral Criticality –<i><i>X</i><i>Y</i></i>and Heisenberg Stacked-Triangular Antiferromagnets

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説明

The results of extensive Monte Carlo simulations are reported on XY and Heisenberg antiferromagnets on a d=3-dimensional stacked-triangular lattice, which are expected to belong to the recently identified n=2 and 3 chiral universality classes, respectively. The lattices studied consist of L3 spins with 18≤L≤60. The study is an extension of earlier Monte Carlo simulations for the same system with smaller lattices. A continuous transition characterized by the novel critical exponents is found with α=0.34±0.06, β=0.253±0.01, γ=1.13±0.05 and ν=0.54±0.02 for the XY (n=2) case, and with α=0.24±0.08, β=0.30±0.02, γ=1.17±0.07 and ν=0.59±0.02 for the Heisenberg (n=3) case. The specific-heat amplitude ratio is estimated to be A+A=0.36±0.2 and A+A=0.54±0.2 in the n=2 and n=3 cases, respectively. The nature of the chiral ordering is also studied, and various chirality exponents are determined. The results are discussed in conjunction with the recent renormalization-group calculations and experiments.

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