Phase diagram of the antiferromagnetic XY model in two dimensions in a magnetic field

Abstract

The phase diagram of the quasi-two-dimensional easy-plane antiferromagnetic model, with a magnetic field applied in the easy plane, is studied using the self-consistent harmonic approximation. We found a linear dependence of the transition temperature as a function of the field for large values of the field. Our results are in agreement with experimental data for the spin-1 honeycomb compound BaNi_2V_2O_3

arXiv comment3 pages

References in corpus (5)

• Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
• Kosterlitz-Thouless behavior in layered superconductors: the role of the vortex-core energy
• The Kosterlitz-Thouless and magnetic transition temperatures in layered magnets with a weak easy-plane anisotropy
• Importance of In-Plane Anisotropy in the Quasi Two-Dimensional Antiferromagnet BaNi${}_2$V${}_2$O${}_8$
• Finite Size Analysis of Luttinger Liquids with a source of 2k_f Scattering

Cited by in corpus (3)

• An effective spin-1 Heisenberg chain in coupled cavities
• Theoretical analysis of FMR-driven spin pumping current and its properties via Self-Consistent Harmonic Approximation
• Effectiveness of the Self-Consistent Harmonic Approximation in ferromagnets with dipolar interactions