Exact calculation of thermodynamical quantities of the integrable t-J model

TL;DR

This paper presents an exact method to compute thermodynamic properties of the integrable t-J model, revealing Luttinger liquid behavior and analyzing the structure of specific heat related to charge and spin excitations.

Contribution

It introduces an exact calculation approach using algebraic Bethe ansatz and integral equations for thermodynamic quantities of the t-J model.

Findings

Luttinger liquid behavior observed at low temperatures

Exact free energy calculated for various densities and temperatures

Analysis of specific heat structure in terms of charge and spin excitations

Abstract

The specific heat and the compressibility for the integrable t-J model are calculated showing Luttinger liquid behavior for low temperatures. A Trotter-Suzuki mapping and the quantum transfer matrix approach are utilized. Using an algebraic Bethe ansatz this method permits the exact calculation of the free energy and related quantities. A set of just two non-linear integral equations determining these quantities is studied for various particle densities and temperatures. The structure of the specific heat is discussed in terms of the elementary charge as well as spin excitations.