BKT phase transition in a 2d system with long range dipole-dipole interaction

Details BKT phase transition in a 2d system with long range dipole-dipole interaction BKT phase transition in a 2d system with long range dipole-dipole interaction

2009-04-14

arxiv.org/abs/0904.2176v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4pages, 2eps figs

Scientific paper

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. 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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