Evidence for a bicritical point in the XXZ Heisenberg antiferromagnet on a simple cubic lattice

Abstract

The classical Heisenberg antiferromagnet with uniaxial exchange anisotropy, the XXZ model, in a magnetic field on a simple cubic lattice is studied with the help of extensive Monte Carlo simulations. Analyzing, especially, various staggered susceptibilities and Binder cumulants, we present clear evidence for the meeting point of the antiferromagnetic, spin--flop, and paramagnetic phases being a bicritical point with Heisenberg symmetry. Results are compared to previous predictions based on various theoretical approaches.

4 pages, 6 figures (to appear in the Phys. Rev. E (2011))

References in corpus (4)

• Critical Binder cumulant in two-dimensional anisotropic Ising models
• The critical Binder cumulant in a two--dimensional anisotropic Ising model with competing interaction
• Field theory of bi- and tetracritical points: Statics
• Monte Carlo simulations of $\mathrm{R}{\mathrm{b}}_2\mathrm{Mn}{\mathrm{F}}_4$, a classical Heisenberg antiferromagnet in two-dimensions with dipolar interaction

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• Multicritical behavior in models with two competing order parameters
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• Competing orders, competing anisotropies, and multicriticality: The case of Co-doped YbRh2Si2
• Critical free energy and Casimir forces in rectangular geometries
• Finite size scaling for a first order transition where a continuous symmetry is broken: The spin-flop transition in the 3D XXZ Heisenberg antiferromagnet
• Multicritical points in the three-dimensional XXZ antiferromagnet with single-ion anisotropy
• Critical Dynamics of Anisotropic Antiferromagnets in an External Field
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Field theory of bicritical and tetracritical points. IV. Critical dynamics including reversible terms
• Anisotropic XY antiferromagnets in a field
• Marginal dimensions for multicritical phase transitions