Ground State and Excitations of Spin Chain with Orbital Degeneracy
You-Quan Li (ZIMP Zhejing U.) Micheal Ma (U. of Cincinnati) Da-Ning, Shi(Nanjing U. of A&A), Fu-Chun Zhang(U. of Cincinnati)
TL;DR
This paper investigates the ground state and low-energy excitations of a one-dimensional SU(4) symmetric Heisenberg model with orbital degeneracy using Bethe ansatz, revealing a singlet ground state and detailed excitation spectra.
Contribution
It provides an extensive analysis of the SU(4) symmetric spin chain, including explicit characterization of the ground state and elementary excitations, extending previous work on similar models.
Findings
Ground state is an SU(4) singlet.
Elementary excitations have specific degeneracies.
Spectra of generalized magnons are characterized.
Abstract
The one dimensional Heisenberg model in the presence of orbital degeneracy is studied at the SU(4) symmetric viewpoint by means of Bethe ansatz. Following Sutherland's previous work on an equivalent model, we discuss the ground state and the low-lying excitations more extensively in connection to the spin systems with orbital degeneracy. We show explicitly that the ground state is a SU(4) singlet. We study the degeneracies of the elementary excitations and the spectra of the generalized magnons consisting of these excitations. We also discuss the complex 2-strings in the context of the Bethe ansatz solutions.
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