Monte Carlo simulations of $\mathrm{R}{\mathrm{b}}_2\mathrm{Mn}{\mathrm{F}}_4$, a classical Heisenberg antiferromagnet in two-dimensions with dipolar interaction

Abstract

We study the phase diagram of a quasi-two dimensional magnetic system $\mathrm{R}{\mathrm{b}}_2\mathrm{Mn}{\mathrm{F}}_4$ with Monte Carlo simulations of a classical Heisenberg spin Hamiltonian which includes the dipolar interactions between ${\mathrm{Mn}}^{2+}$ spins. Our simulations reveal an Ising-like antiferromagnetic phase at low magnetic fields and an XY phase at high magnetic fields. The boundary between Ising and XY phases is analyzed with a recently proposed finite size scaling technique and found to be consistent with a bicritical point at T=0. We discuss the computational techniques used to handle the weak dipolar interaction and the difference between our phase diagram and the experimental results.

13 pages 18 figures

References in corpus (4)

• Two-dimensional anisotropic Heisenberg antiferromagnet in a field
• Phase transition in ultrathin magnetic films with long-range interactions: Monte Carlo simulation of the anisotropic Heisenberg model
• Exchange anisotropy, disorder and frustration in diluted, predominantly ferromagnetic, Heisenberg spin systems
• Hidden zero-temperature bicritical point in the two-dimensional anisotropic Heisenberg model: Monte Carlo simulations and proper finite-size scaling

Cited by in corpus (2)

• Uniaxially anisotropic antiferromagnets in a field on a square lattice
• Biconical structures in two-dimensional anisotropic Heisenberg antiferromagnets