Phase diagram and symmetry breaking of SU(4) spin-orbital chain in a generalized external field

TL;DR

This paper investigates the phase diagram and symmetry breaking in a one-dimensional SU(4) spin-orbital chain under a generalized external field, using Bethe-ansatz solutions to analyze ground states and residual symmetries.

Contribution

It introduces a systematic study of symmetry breaking in an SU(4) spin-orbital model with generalized external fields using Bethe-ansatz, providing both numerical and analytical phase diagrams.

Findings

Magnetization curves obtained from Bethe-ansatz solutions.

Phase diagrams illustrating residual symmetries.

Identification of various symmetry-breaking phases.

Abstract

The ground state phases of a one-dimensional SU(4) spin-orbital Hamiltonian in a generalized external field are studied on the basis of Bethe-ansatz solution. Introducing three Land\'e $g$ factors for spin, orbital and their products in the SU(4) Zeeman term, we discuss systematically the various symmetry breaking. The magnetization versus external field are obtained by solving Bethe-ansatz equations numerically. The phase diagrams corresponding to distinct residual symmetries are given by means of both numerical and analytical methods.