Hidden zero-temperature bicritical point in the two-dimensional anisotropic Heisenberg model: Monte Carlo simulations and proper finite-size scaling

Abstract

By considering the appropriate finite-size effect, we explain the connection between Monte Carlo simulations of two-dimensional anisotropic Heisenberg antiferromagnet in a field and the early renormalization group calculation for the bicritical point in $2+\epsilon$ dimensions. We found that the long length scale physics of the Monte Carlo simulations is indeed captured by the anisotropic nonlinear $\sigma$ model. Our Monte Carlo data and analysis confirm that the bicritical point in two dimensions is Heisenberg-like and occurs at T=0, therefore the uncertainty in the phase diagram of this model is removed.

10 pages, 11 figures

References in corpus (2)

• Two-dimensional anisotropic Heisenberg antiferromagnet in a field
• Exchange anisotropy, disorder and frustration in diluted, predominantly ferromagnetic, Heisenberg spin systems

Cited by in corpus (4)

• 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
• Biconical structures in two-dimensional anisotropic Heisenberg antiferromagnets