Magnetization process of the spin-1/2 XXZ models on square and cubic lattices

TL;DR

This paper investigates the magnetization process of the spin-1/2 XXZ model on square and cubic lattices, revealing a first-order phase transition and estimating critical fields through numerical and perturbative methods.

Contribution

It provides the first numerical analysis of the first-order phase transition and magnetization jump in the Ising-like XXZ models on square and cubic lattices, including estimates of critical fields.

Findings

First-order phase transition at a critical magnetic field

Quantitative estimates of the critical field and magnetization jump

Discussion of the phase diagram of the extended Bose-Hubbard model

Abstract

The magnetization process of the spin-1/2 antiferromagnetic XXZ model with Ising-like anisotropy in the ground state is investigated. We show numerically that the Ising-like XXZ models on square and cubic lattices show a first-order phase transition at some critical magnetic field. We estimate the value of the critical field and the magnetization jump on the basis of the Maxwell construction. The magnetization jump in the Ising-limit is investigated by means of perturbation theory. Based on our numerical results, we briefly discuss the phase diagram of the extended Bose-Hubbard model in the hard-core limit.