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

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

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.

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Authors and Affiliations

  1. Ioffe Physicotechnical Institute, Russian Academy of Sciences, St. Petersburg, 194021, Russia

    V. V. Afonin

  2. Petersburg Nuclear Physics Institute, Russian Academy of Sciences, St. Petersburg, 188300, Russia

    V. Yu. Petrov

Authors
  1. V. V. Afonin
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  2. V. Yu. Petrov
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Correspondence to V. V. Afonin.

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Afonin, V.V., Petrov, V.Y. BKT phase in systems of spinless strongly interacting one-dimensional fermions. J. Exp. Theor. Phys. 107, 542–563 (2008). https://doi.org/10.1134/S1063776108100026

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  • DOI: https://doi.org/10.1134/S1063776108100026

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