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Interplay of anisotropy and frustration: Triple transitions in a triangular-lattice antiferromagnet

2008/12/31 by P. -É. Melchy, Pierre-Éric Melchy, M. E. Zhitomirsky · 3 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.80.064411

published as Phys. Rev. B, 80, 064411 (2009) · 7 pages, 10 figures, section 2 profoundly changed, other minor amendments, references updated; version for publication

openalex publication_date 2009/08/17 · arxiv created 2009/08/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The classical Heisenberg antiferromagnet on a triangular lattice with the single-ion anisotropy of the easy-axis type is studied theoretically. The phase diagram in an external magnetic field is constructed from the mean-field analysis. Three successive Berezinskii-Kosterlitz-Thouless transitions are found by Monte Carlo simulations in zero field. Two upper transitions are related to the breaking of the discrete ℤ6 symmetry while the lowest transition is associated with a quasilong-range ordering of transverse components. The intermediate collinear phase between the first and second transition is the critical phase predicted by Jos'e et al. [Phys. Rev. B 16, 1217 (1977)].

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