Uniaxially anisotropic antiferromagnets in a field on a square lattice

Abstract

Classical uniaxially anisotropic Heisenberg and XY antiferromagnets in a field along the easy axis on a square lattice are analysed, applying ground state considerations and Monte Carlo techniques. The models are known to display antiferromagnetic and spin-flop phases. In the Heisenberg case, a single-ion anisotropy is added to the XXZ antiferromagnet, enhancing or competing with the uniaxial exchange anisotropy. Its effect on the stability of non-collinear structures of biconical type is studied. In the case of the anisotropic XY antiferromagnet, the transition region between the antiferromagnetic and spin-flop phases is found to be dominated by degenerate bidirectional fluctuations. The phase diagram is observed to resemble closely that of the XXZ antiferromagnet without single-ion anisotropy.

8 pages, 9 figures, submitted to Eur. Phys. J. B

References in corpus (9)

• Two-dimensional anisotropic Heisenberg antiferromagnet in a field
• Magnetic ground state of coupled edge-sharing CuO_2 spin-chains
• Uniaxially anisotropic antiferromagnets in a field on a square lattice
• Multicritical behavior of two-dimensional anisotropic antiferromagnets in a magnetic 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
• Quenched charge disorder in CuO2 spin chains: Experimental and numerical studies
• Surface spin-flop transition in a uniaxial antiferromagnetic Fe/Cr superlattice induced by a magnetic field of arbitrary direction

Cited by in corpus (5)

• Competition between supersolid phases and magnetisation plateaux in the frustrated easy-axis antiferromagnet on a triangular lattice
• Spin-1 Heisenberg antiferromagnetic chain with exchange and single-ion anisotropies
• Uniaxially anisotropic antiferromagnets in a field on a square lattice
• Low-temperature thermal conductivity and magnetic transitions of the kagomé-staircase compound Ni${}_3$V${}_2$O${}_8$
• Magnetism study on a frustration-free spatially anisotropic $S$ = 1 square lattice antiferromagnet Ni[SC(NH${}_2$)${}_2$]${}_6$Br${}_2$