Metamagnetism in the XXZ model with next-to-nearest-neighbor coupling

TL;DR

This paper studies the ground state energies and magnetization behavior of a one-dimensional XXZ spin chain with next-to-nearest-neighbor interactions, revealing a metamagnetic phase with discontinuous magnetization transitions.

Contribution

It introduces the concept of a metamagnetic phase in the XXZ model with next-to-nearest-neighbor coupling, characterizing the transition region between ferro- and antiferromagnetic phases.

Findings

Identification of a metamagnetic phase with discontinuous magnetization

Determination of the critical field $B_c( ext{alpha}, ext{Delta})$

Analysis of phase transitions in the XXZ model with extended interactions

Abstract

We investigate groundstate energies and magnetization curves in the one dimensional XXZ-model with next to nearest neighbour coupling $\alpha>0$ and anisotropy $\Delta$ ($-1 \le \Delta \le 1$) at T=0. In between the familiar ferro- and antiferromagnetic phase we find a transition region -- called metamagnetic phase -- where the magnetization curve is discontinuous at a critical field $B_c(\alpha,\Delta)$.