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

Abstract

The low-temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the YangYang 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 WienerHopf method. It is shown that the low-energy physics can be described by spin-charge separated conformal field theories of an effective TomonagaLuttinger liquid and an antiferromagnetic SU(3) Heisenberg spin chain. Beyond the TomonagaLuttinger 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.