Magnetization-plateau state of the S=3/2 spin chain with single ion anisotropy

TL;DR

This study investigates the magnetization plateau in an S=3/2 spin chain with single ion anisotropy, revealing critical points and a valence-bond-solid state in specific parameter regions.

Contribution

It provides a detailed numerical analysis of the magnetization plateau and identifies the valence-bond-solid state in the intermediate anisotropy region.

Findings

Critical anisotropy D_{c1}=0.387 marks the transition from critical to plateau state.

Magnetization plateau appears for D > D_{c1} in two distinct regions.

Intermediate region D_{c1} < D < D_{c2} exhibits a magnetized valence-bond-solid state.

Abstract

We reexamine the numerical study of the magnetized state of the S=3/2 spin chain with single ion anisotropy D(> 0) for the magnetization M=M_{S}/3, where M_{S} is the saturation magnetization. We find at this magnetization that for D<D_{c1}=0.387 the system is critical and the magnetization plateau does not appear. For D > D_{c1}, the parameter region is divided into two parts D_{c1} < D < D_{c2}=0.943 and D_{c2} < D. In each region, the system is gapful and the M=M_{S}/3 magnetization plateau appears in the magnetization process. From our numerical calculation, the intermediate region D_{c1} < D < D_{c2} should be characterized by a magnetized valence-bond-solid state.