Spin Nematic Liquid of the $S=1/2$ Distorted Diamond Spin Chain in Magnetic Field

TL;DR

This paper investigates the magnetization behavior of a distorted diamond spin chain with anisotropic interactions, revealing the emergence of spin nematic and SDW Tomonaga-Luttinger liquids under certain anisotropy conditions.

Contribution

It demonstrates the appearance of spin nematic and SDW Tomonaga-Luttinger liquids in a $S=1/2$ distorted diamond spin chain with anisotropic ferromagnetic interactions.

Findings

Spin nematic liquids appear at large easy axis anisotropy.

SDW Tomonaga-Luttinger liquids also emerge under certain conditions.

Numerical diagonalization of finite clusters supports these findings.

Abstract

The magnetization process of the $S=1/2$ distorted diamond spin chain with the anisotropic ferromagnetic interaction is investigated using the numerical diagonalization of finite-size clusters. It is found that the spin nematic and SDW Tomonaga-Luttinger liquids can appear for sufficiently large easy axis anisotropy.