BKT PHASE IN SYSTEMS OF SPINLESS STRONGLY INTERACTING ONE-DIMENSIONAL FERMIONS
Afonin V.V., Petrov V.Yu.

Received: April 8, 2008

PACS: 71.10.Hf, 73.63.Fg

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We present the ground-state wave functions for a system of spinless one-dimensional fermions in the limit of an infinitely strong interaction and demonstrate explicitly that the system symmetry is lower than the original symmetry of the Hamiltonian. As a result, the system in this limit undergoes a second-order phase transition into a phase with finite density of chiral pairs. The phase transforms continuously into a Berezinskii-Kosterlitz-Thouless (BKT) phase if the interaction in the model decreases. Therefore, just the BKT phase is realized in nature. The temperature of the smearing phase transition is calculated.