Spin-Charge Separation at Finite Temperature in the Supersymmetric t-J Model with Long-Range Interactions

TL;DR

This paper rigorously derives the thermodynamics of a 1D supersymmetric t-J model with long-range interactions, revealing free fractional excitations and their statistical properties at finite temperature.

Contribution

It provides a rigorous thermodynamic analysis of the supersymmetric t-J model with inverse-square exchange, highlighting fractional statistics and free excitations.

Findings

Spinons, antispinons, holons, and antiholons obey fractional statistics.

System exhibits spin-charge separation with susceptibilities independent of certain parameters.

Thermal spin excitations are described by free para-fermions of order K-1.

Abstract

Thermodynamics is derived rigorously for the 1D supersymmetric {\it t-J} model and its SU($K,1$) generalization with inverse-square exchange. The system at low temperature is described in terms of spinons, antispinons, holons and antiholons obeying fractional statistics. They are all free and make the spin susceptibility independent of electron density, and the charge susceptibility independent of magnetization. Thermal spin excitations responsible for the entropy of the SU($K,1$) model are ascribed to free para-fermions of order $K-1$.