Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions

TL;DR

This paper investigates the low temperature thermodynamics and spin-charge separation in one-dimensional strongly repulsive SU(3) fermions, revealing their effective descriptions and equations of state under weak magnetic fields.

Contribution

It provides analytical results for free energy and magnetic properties, demonstrating spin-charge separation and deriving the equation of state beyond the Luttinger liquid regime.

Findings

Low energy physics described by spin-charge separated conformal field theories.

Analytical expressions for free energy and magnetic properties at low temperatures.

Equation of state expressed via polylog function for weak external fields.

Abstract

The low temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the Yang-Yang thermodynamic Bethe ansatz method. The analytical free energy and magnetic properties of the model at low temperatures in a weak magnetic field are derived via the Wiener-Hopf method. It is shown that the low energy physics can be described by spin-charge separated conformal field theories of an effective Tomonaga-Luttinger liquid and an antiferromagnetic SU(3) Heisenberg spin chain. Beyond the Tomonaga-Luttinger liquid regime, the equation of state is given in terms of the polylog function for a weak external field. The results obtained are essential for further study of quantum criticality in strongly repulsive three-component fermions.