Kosterlitz-Thouless phase in systems of one-dimensional strongly   interacting fermions
  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. 
V.V.Afonin V.Yu.Petrov