Abstract
We consider phase transitions in 2D XY-like systems with long-range dipole-dipole interactions and demonstrate that BKT-type phase transition always occurs separating the ordered (ferroelectric) and the disordered (paraelectric) phases. The low-temperature phase corresponds to a thermal state with bound vortex-antivortex pairs characterized by linear attraction at large distances. Using the Maier-Schwabl topological charge model, we show that bound vortex pairs polarize and screen the vortex-antivortex interaction, leaving only the logarithmic attraction at sufficiently large separations between the vortices. At higher temperatures the pairs dissociate and the phase transition similar to BKT occurs, though at a larger temperature than in a system without the dipole-dipole interaction.
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Fedichev, P.O., Men’shikov, L.I. BKT phase transition in a 2D system with long-range dipole-dipole interaction. Phys. Part. Nuclei Lett. 9, 71–75 (2012). https://doi.org/10.1134/S1547477112010098
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DOI: https://doi.org/10.1134/S1547477112010098