Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain

TL;DR

This paper investigates the magnetization process of an $S=3/2$ quantum spin chain with anisotropies, revealing for the first time the emergence of translational-symmetry-broken magnetization plateaux at specific fractions of saturation.

Contribution

The study introduces the first observation of translational-symmetry-broken magnetization plateaux in the $S=3/2$ anisotropic antiferromagnetic chain using numerical methods.

Findings

Identification of magnetization plateaux at 1/3 and 2/3 saturation.

Demonstration of the role of anisotropies in stabilizing symmetry-broken phases.

Comparison of phase diagrams with related models.

Abstract

The magnetization process of the $S=3/2$ quantum spin chain with the $XXZ$ anisotropy and the single-ion anisotropy $D$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. We obtain the phase diagrams at 1/3 and 2/3 of the saturation magnetization to find that the translational-symmetry-broken magnetization plateau appears for the first time. The similarity and the difference between the phase diagrams of the present model and the related models are discussed by use of the discrete parameters of the models. In addition several typical magnetization curves are presented.