Existence of the magnetization plateau in a class of exactly solvable Ising-Heisenberg chains

TL;DR

This paper uses an exact mapping technique to analyze magnetization plateaus in a class of Ising-Heisenberg chains, revealing how interaction ratios and anisotropy influence plateau formation.

Contribution

It provides exact solutions for magnetization behavior in Ising-Heisenberg chains, highlighting the conditions for plateau formation based on interaction ratios and anisotropy.

Findings

Plateau formation depends on Ising-Heisenberg interaction ratio.

Magnetization curves exhibit field-induced first-order transitions.

Exact results clarify conditions for magnetization plateaus.

Abstract

The mapping transformation technique is applied to obtain exact results for the spin-1/2 and spin-S (S=1/2,1) Ising-Heisenberg antiferromagnetic chain in the presence of an external magnetic field. Within this scheme, a field-induced first-order metamagnetic transition resulting in multiplateau magnetization curves, is investigated in detail. It is found that the scenario of the plateau formation depends fundamentally on the ratio between Ising and Heisenbrg interaction constants, as well as on the anisotropy strength of the XXZ Heisenberg interaction.