Exact thermodynamics and phase diagram of integrable t-J model with chiral interaction

TL;DR

This paper analyzes the phase diagram and thermodynamic properties of an integrable supersymmetric t-J model with chiral interactions, revealing ten distinct phases through numerical solutions of integral equations.

Contribution

It introduces an exact analysis of a PT-symmetry-breaking integrable t-J model using quantum transfer matrix methods, identifying multiple phases.

Findings

Identified ten different phases in the model.

Mapped thermodynamic quantities as functions of temperature, magnetic field, and other parameters.

Revealed phase boundaries through entropy maxima lines.

Abstract

We study the phase diagram and finite temperature properties of an integrable generalization of the one-dimensional super-symmetric t-J model containing interactions explicitly breaking parity-time reversal (PT) symmetries. To this purpose, we apply the quantum transfer matrix method which results in a finite set of non-linear integral equations. We obtain numerical solutions to these equations leading to results for thermodynamic quantities as function of temperature, magnetic field, particle density and staggering parameter. Studying the maxima lines of entropy at low but non zero temperature reveals the phase diagram of the model. There are ten different phases which we may classify in terms of the qualitative behaviour of auxiliary functions, closely related to the dressed energy functions.