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 (9)

• Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions
• Quantum Monte Carlo study of S=1/2 weakly-anisotropic antiferromagnets on the square lattice
• Instability of antiferromagnetic magnons in strong fields
• Field-induced XY behavior in the S=1/2 antiferromagnet on the square lattice
• Critical phenomena at perfect and non-perfect surfaces
• Critical dynamics of a spin-5/2 2D isotropic antiferromagnet
• Bulk and surface properties in the critical phase of the two-dimensional XY model
• Phase diagrams of a classical two-dimensional Heisenberg antiferromagnet with single-ion anisotropy
• Comment on "Frustrating interactions and broadened magnetic interactions in the edge-sharing CuO_2 chains in La_5 Ca_9 Cu_24 O_41"

Cited by in corpus (24)

• 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
• Classical and quantum two-dimensional anisotropic Heisenberg antiferromagnets
• Uniaxially anisotropic antiferromagnets in a field on a square lattice
• Multicritical behavior of two-dimensional anisotropic antiferromagnets in a magnetic field
• Interplay of frustration and magnetic field in the two-dimensional quantum antiferromagnet Cu(tn)Cl${}_2$
• 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
• Critical Binder cumulant and universality: Fortuin-Kasteleyn clusters and order-parameter fluctuations
• Heisenberg antiferromagnets with uniaxial exchange and cubic anisotropies in a field
• 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
• Stiffness from Disorder in Triangular-Lattice Ising Thin Films
• The first-principles study of thermodynamical properties of random magnetic overlayers on fcc-Cu(001) substrate
• Evidence against an Almeida-Thouless line in disordered systems of Ising dipoles
• Magnons in a two dimensional transverse field XXZ model
• 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
• Hysteresis behavior of the anisotropic quantum Heisenberg model
• Anisotropic XY antiferromagnets in a field
• Heisenberg antiferromagnets with exchange and cubic anisotropies
• Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition