Low-Temperature Thermodynamics of $A_2^{(2)}$ and su(3)-invariant Spin Chains

Abstract

We formulate the thermodynamic Bethe Ansatz (TBA) equations for the closed (periodic boundary conditions) $A_2^{(2)}$ quantum spin chain in an external magnetic field, in the (noncritical) regime where the anisotropy parameter $\eta$ is real. In the limit $\eta \to 0$, we recover the TBA equations of the antiferromagnetic su(3)-invariant chain in the fundamental representation. We solve these equations for low temperature and small field, and calculate the specific heat and magnetic susceptibility.

31 pages, UMTG-169

References in corpus (3)

• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Addendum to ``Integrability of Open Spin Chains with Quantum Algebra Symmetry''
• Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains

Cited by in corpus (20)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• An extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain
• Exact solution for the quench dynamics of a nested integrable system
• Bulk and Boundary S Matrices for the SU(N) Chain
• The arboreal gas and the supersphere sigma model
• Integrable quenches in nested spin chains I: the exact steady states
• Integrable quantum field theories with OSP(m/2n) symmetries
• Integrable quenches in nested spin chains II: fusion of boundary transfer matrices
• Quantum criticality of spinons
• Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
• Anomalies and unnatural stability of multi-component Luttinger liquids in ${\mathbb{Z}}_n\times {\mathbb{Z}}_n$ spin chains
• One dimensional SU(3) bosons with $\delta$ function interaction
• Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain
• The extension to the transverse momentum of the statistical parton distributions
• Thermodynamic Bethe ansatz equation for osp(1|2) integrable spin chain
• The Finite Size SU(3) Perk-Schultz Model with Deformation Parameter q=exp(i 2 pi/3)
• The Wave Functions for the Free-Fermion Part of the Spectrum of the $S{U}_q(N)$ Quantum Spin Models
• Universal low energy physics in one-dimensional multicompnent Fermi gases with a strongly repulsive $\delta$-function interaction
• Free fermion branches in some quantum spin models
• Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions