Nonequilibrium relaxation study of the anisotropic antiferromagnetic Heisenberg model on the triangular lattice

Takahiro Misawa, Yukitoshi Motome

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Effects of exchange anisotropy on the relaxation time of spin and vector chirality are studied for the antiferromagnetic classical Heisenberg model on the triangular lattice by the nonequilibrium relaxation Monte Carlo method. We identify the Berezinskii-Kosterlitz-Thouless (BKT) transition and the chiral transition in a wide range of the anisotropy, even for a very small anisotropy of ∼0.01%. As the anisotropy decreases, both critical temperatures steeply decrease, while the BKT critical region becomes divergently wide. We elucidate a sharp "V shape" of the phase diagram around the isotropic Heisenberg point, which suggests that the isotropic case is exceptionally singular and that the associated Z2 vortex transition will be isolated from the BKT and chiral transitions. We discuss the relevance of our results to peculiar behavior of the spin relaxation time observed experimentally in triangular antiferromagnets.

Original languageEnglish
Article number073001
Journaljournal of the physical society of japan
Volume79
Issue number7
DOIs
Publication statusPublished - 2010 Jul
Externally publishedYes

Keywords

  • BKT transition
  • Chiral transition
  • Geometrical frustration
  • Heisenberg model
  • Nonequilibrium relaxation
  • Triangular lattice
  • Z vortex transition

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Nonequilibrium relaxation study of the anisotropic antiferromagnetic Heisenberg model on the triangular lattice'. Together they form a unique fingerprint.

Cite this