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Journal of Statistical Physics

, Volume 43, Issue 1–2, pp 1–16 | Cite as

Phase transitions in two-dimensional uniformly frustratedXY models. I. Antiferromagnetic model on a triangular lattice

  • S. E. Korshunov
  • G. V. Uimin
Articles

Abstract

A most popular model in the family of two-dimensional uniformly-frustratedXY models is the antiferromagnetic model on a triangular lattice [AFXY(t) model]. Its ground state is both continuously and twofold discretely degenerated. Different phase transitions possible in such systems are investigated. Relevant topological excitations are analyzed and a new class of such (vortices with a fractional number of circulation quanta) is discovered. Their role in determining the properties of the system proves itself essential. The characteristics of phase transitions related to breaking of discrete and continuous symmetries change. The phase diagram of the “generalized” AFXY(t) model is constructed. The results obtained are rederived in the representation of the Coulomb gas with half-integer charges, equivalent to the AFXY(t) model with the Berezinskii-Villain interaction.

Key words

Two-dimensional systems phase transitions frustratedXY models antiferromagneticXY model topological excitations fractional vortices Coulomb gas Josephson junctions 

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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • S. E. Korshunov
    • 1
  • G. V. Uimin
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsAcademy of Sciences of the USSRMoscowUSSR

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