Fractional Exclusion Statistics for the t-J Model

TL;DR

This paper develops an exact thermodynamic description of the one-dimensional supersymmetric t-J model using fractional exclusion statistics, revealing spin-charge separation and detailed thermodynamic properties.

Contribution

It introduces a novel exact thermodynamic framework for the t-J model based on fractional exclusion statistics, including extensions to multi-component systems.

Findings

Spinons and holons obey fractional exclusion statistics at all temperatures.

Low-temperature decoupling leads to spin-charge separation in thermodynamics.

Explicit calculations of susceptibilities and specific heat match fractional statistics interpretations.

Abstract

We construct thermodynamics of the one-dimensional supersymmetric {\it t-J} model with the $ 1/\sin^2$ interaction and hopping. The thermodynamics is described exactly in terms of free spinons and holons obeying Haldane's fractional exclusion statistics at all temperatures. Moreover, at low temperatures the semionic spinons and holons decouple resulting in the spin-charge separation in thermodynamic properties. We obtain explicit results for the spin and charge susceptibilities and specific heat, and interpret them in terms of the fractional exclusion statistics. Extension to the multi-component {\it t-J} model shows that the excitations obey either fractional statistics for g-ons with partial polarization of components, or the parafermionic one without polarization.