Physical Review A
Thermodynamics of a One-Dimensional System of Fermions with a Repulsive δ -Function Interaction
Cheng Kee Lai
Abstract
The thermodynamics of fermions in one dimension with a repulsive $\ensuremath{\delta}$-function interaction is analyzed in some detail. The excitation spectrum at finite temperature is also derived. It is shown that the spectrum can be classified into two types of excitation.