Two-dimensional anisotropic Heisenberg antiferromagnet in a field

Abstract

The classical, square lattice, uniaxially anisotropic Heisenberg antiferromagnet in a magnetic field parallel to the easy axis is studied using Monte Carlo techniques. The model displays a long-range ordered antiferromagnetic, an algebraically ordered spin-flop, and a paramagnetic phase. The simulations indicate that a narrow disordered phase intervenes between the ordered phases down to quite low temperatures. Results are compared to previous, partially conflicting findings on related classical models as well as the quantum variant with spin S=1/2.

8 pages, 9 figures

References in corpus (2)

• Quantum Monte Carlo study of S=1/2 weakly-anisotropic antiferromagnets on the square lattice
• Field-induced XY behavior in the S=1/2 antiferromagnet on the square lattice

Cited by in corpus (13)

• Critical Binder cumulant of two-dimensional Ising models
• Critical Binder cumulant for isotropic Ising models on square and triangular lattices
• Field theory of bi- and tetracritical points: Statics
• Uniaxially anisotropic antiferromagnets in a field on a square lattice
• Multicritical behavior of two-dimensional anisotropic antiferromagnets in a magnetic field
• Two-dimensional Heisenberg antiferromagnet in a transverse field
• Monte Carlo simulations of $\mathrm{R}{\mathrm{b}}_2\mathrm{Mn}{\mathrm{F}}_4$, a classical Heisenberg antiferromagnet in two-dimensions with dipolar interaction
• Hidden zero-temperature bicritical point in the two-dimensional anisotropic Heisenberg model: Monte Carlo simulations and proper finite-size scaling
• Biconical structures in two-dimensional anisotropic Heisenberg antiferromagnets
• Green's function theory for spin-1/2 ferromagnets with an easy-plane exchange anisotropy
• Surface spin-flop transition in a uniaxial antiferromagnetic Fe/Cr superlattice induced by a magnetic field of arbitrary direction
• Exchange enhanced switching by alternating fields in quantum antiferromagnets
• Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition