BKT phase in systems of spinless strongly interacting one-dimensional fermions

Journal Article · Wed Oct 15 00:00:00 EDT 2008 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776108100026· OSTI ID:21241912

Petrov, V Yu ^[1]

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1. Russian Academy of Sciences, Petersburg Nuclear Physics Institute (Russian Federation)

We present the ground-state wavefunctions for a system of spinless one-dimensional fermions in the limit of an infinitely strong interaction, and we 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.

• OSTI ID: 21241912
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 107, Issue 4; Other Information: DOI: 10.1134/S1063776108100026; Copyright (c) 2008 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHIRALITY
FERMIONS
GROUND STATES
HAMILTONIANS
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
STRONG INTERACTIONS
WAVE FUNCTIONS