Spectrum and Thermodynamics of the one-dimensional supersymmetric t-J model with $1/r^2$ exchange and hopping

TL;DR

This paper derives the spectrum and thermodynamics of a 1D supersymmetric t-J model with long-range interactions, confirming the exactness of the asymptotic Bethe-ansatz spectrum and explicitly constructing the free energy.

Contribution

It provides an exact derivation of the spectrum and thermodynamics for a long-range supersymmetric t-J model, validating previous conjectures.

Findings

Spectrum confirms the asymptotic Bethe-ansatz is exact

Explicit construction of free energy from spinon degeneracies

Provides insights into the thermodynamics of long-range interacting models

Abstract

We derive the spectrum and the thermodynamics of the one-dimensional supersymmetric t-J model with long range hopping and spin exchange using a set of maximal-spin eigenstates. This spectrum confirms the recent conjecture that the asymptotic Bethe-ansatz spectrum is exact. By empirical determining the spinon degeneracies of each state, we are able to explicitly construct the free energy.