Monte Carlo study of the phase diagram of layered XY antiferromagnet

Abstract

The three-dimensional XY model is investigated in the presence of a uniform magnetic field applied in the $X$-direction. The nearest neighbour intraplanar interaction is considered ferromagnetic, and the interplanar nearest neighbour interaction is chosen to be antiferromagnetic. Starting from a high-temperature initial random spin configuration, the equilibrium phase of the system at any finite temperature was achieved by cooling the system using the Monte Carlo single spin-flip Metropolis algorithm with a random updating rule. The components of total magnetisation and the sublattice magnetisations were calculated. The variance of the antiferromagnetic order parameter and the susceptibility have been calculated. In a specific range of relative strengths of interactions (antiferromagnetic/ferromagnetic) and the applied magnetic field, the system shows the equilibrium phase transitions at different temperatures. The phase diagrams (in the field-temperature plane) were obtained for different values of the relative interaction strengths. The ordered region bounded by the phase boundary was found to increase as the ratio of relative interaction strength increased. Furthermore, the maximum value of the susceptibility (${\chi }_{ay}^m$) was found to increase with the system size ($L$). For ${\chi }_{ay}^m\sim L^{\frac{\gamma }{\nu }}$, the exponent $\gamma /\nu$ has been estimated to be 2.10$\pm 0.11$ .

arXiv comment10 pages Latex and 8 captioned eps figures

References in corpus (12)

• Critical behavior of the three-dimensional XY universality class
• Spin dynamics simulation of the three-dimensional XY model: Structure factor and transport properties
• Anomalies in the antiferromagnetic phase of metamagnets
• Ising metamagnets in thin film geometry: equilibrium properties
• Monte Carlo investigation of the tricritical point stability in a three-dimensional Ising metamagnet
• Ising Metamagnet Driven by Propagating Magnetic Field Wave: Nonequilibrium Phases and Transitions
• Anomalies in the Multicritical Behavior of Staggered Magnetic and Direct Magnetic Susceptibilities of Iron Group Dihalides
• Transverse ordering of an antiferromagnet in a field with oblique angle to the easy axis
• Equilibrium and non-equilibrium properties of synthetic metamagnetic films: A Monte Carlo study
• Multicritical behavior of the two-dimensional transverse Ising metamagnet in a longitudinal magnetic field
• Spin-ordering in S = 1 anisotropic Heisenberg models with nondiagonal spin exchange
• Nonclassical effects and off-diagonal couplings in a model for FeBr2

Cited by in corpus (6)

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• Monte Carlo study of the phase transitions in the classical XY ferromagnets with random anisotropy
• Critical behaviours of anisotropic XY ferromagnet in the presence of random field
• Phase transitions in the anisotropic XY ferromagnet with quenched nonmagnetic impurity
• Equilibrium and Nonequilibrium phase transitions in continuous symmetric classical magnets
• Nonequilibrium tricritical behaviour in anisotropic XY ferromagnet driven by elliptically polarised propagating magnetic field wave