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We study the phase diagram and finite temperature properties of an integrablegeneralization of the one-dimensional super-symmetric t-J model containinginteractions explicitly breaking parity-time reversal (PT) symmetries. To thispurpose, we apply the quantum transfer matrix method which results in a finiteset of non-linear integral equations. We obtain numerical solutions to theseequations leading to results for thermodynamic quantities as function oftemperature, magnetic field, particle density and staggering parameter.Studying the maxima lines of entropy at low but non zero temperature revealsthe phase diagram of the model. There are ten different phases which we mayclassify in terms of the qualitative behaviour of auxiliary functions, closelyrelated to the dressed energy functions.

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