Kosterlitz-Thouless phase in systems of one-dimensional strongly interacting fermions

TL;DR

This paper investigates the phase transitions in one-dimensional strongly interacting fermion systems, revealing Kosterlitz-Thouless type transitions that become second order in the strong interaction limit, with calculated transition temperatures.

Contribution

It provides explicit ground state wave functions and demonstrates the universality of the phase transition type regardless of interaction specifics.

Findings

Systems exhibit Kosterlitz-Thouless phase transitions

Transition becomes second order at infinite interaction strength

Transition temperature is explicitly calculated

Abstract

We present the ground state wave functions for systems of one-dimensional interacting fermions. It is shown that these systems undergo phase transitions similar to the Kosterlitz-Thouless one independently of the interaction details. In the limit of an infinitely strong interaction the phase transition turns into the usual second order phase transition in a chiral phase. The temperature of the phase transition is calculated.