Phase diagram of the antiferromagnetic XY model in two dimensions in a magnetic field

TL;DR

This paper investigates the phase diagram of a 2D antiferromagnetic XY model under an in-plane magnetic field using the self-consistent harmonic approximation, revealing a linear transition temperature dependence and aligning with experimental data.

Contribution

It provides a theoretical analysis of the phase diagram for the 2D antiferromagnetic XY model in a magnetic field, matching experimental observations.

Findings

Transition temperature depends linearly on magnetic field at high fields

Results agree with experimental data for BaNi₂V₂O₃

Phase diagram characterized using self-consistent harmonic approximation

Abstract

The phase diagram of the quasi-two-dimensional easy-plane antiferromagnetic model, with a magnetic field applied in the easy plane, is studied using the self-consistent harmonic approximation. We found a linear dependence of the transition temperature as a function of the field for large values of the field. Our results are in agreement with experimental data for the spin-1 honeycomb compound BaNi_2V_2O_3