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Phase transitions induced by easy-plane anisotropy in the classical Heisenberg antiferromagnet on a triangular lattice: A Monte Carlo simulation

1997/11/13 by Luca Capriotti, Ruggero Vaia, Alessandro Cuccoli +2 · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.58.273

published as Phys. Rev. B 58, 273 (1998) · 11 pages, 13 figures (embedded by psfig), 3 tables

arxiv created 1997/11/13 · openalex publication_date 1998/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The antiferromagnetic classical XXZ model with easy-plane exchange anisotropy on the triangular lattice, which causes frustration of the spin alignment, is studied by means of Monte Carlo simulations. The system shows the signature of a Berezinskii-Kosterlitz-Thouless transition, associated with vortex-antivortex unbinding, and of an Ising-like one due to the chirality, the latter occurring at a slightly higher temperature. Data for internal energy, specific heat, magnetic susceptibility, correlation length, and some properties associated with the chirality are reported in a broad temperature range for lattice sizes ranging from 24\ifmmode×\else\texttimes\fi24 to 120\ifmmode×\else\texttimes\fi120; four values of the easy-plane anisotropy are considered. Moving from the strongest towards the weakest anisotropy (1%), as the thermodynamic quantities tend to the isotropic model behavior, the two transition temperatures decrease by about 25% and 22%, respectively.

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