Field-Induced Quantum Spin Nematic Liquid Phase in the S=1 Antiferromagnetic Heisenberg Chain with Additional Interactions

TL;DR

This study investigates the magnetization process of an S=1 antiferromagnetic chain with additional interactions, revealing a field-induced quantum spin nematic liquid phase at high magnetizations.

Contribution

It demonstrates the emergence of a spin nematic dominant TLL phase in the magnetization process of the S=1 chain with single-ion anisotropy and biquadratic interactions, using numerical diagonalization.

Findings

Identification of the 2-magnon TLL phase stabilized by interactions.

Phase diagrams showing the conditions for the spin nematic phase.

Observation of the nematic phase at higher magnetizations for large negative D.

Abstract

The magnetization process of the $S=1$ antiferromagnetic chain with the single-ion anisotropy $D$ and the biquadratic interaction is investigated using the numerical diagonalization. Both interactions stabilize the 2-magnon Tomonaga-Luttinger liquid (TLL) phase in the magnetization process. Based on several excitation gaps calculated by the numerical diagonalization, some phase diagrams of the magnetization process are presented. These phase diagrams reveal that the spin nematic dominant TLL phase appears at higher magnetizations for sufficiently large negative $D$.