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Vortices and the BKT transition in regions of competing order

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Regions of competing order often lie near a multicritical point with enhanced symmetry. This is particular interesting in two dimensions when an O(2) order parameter which supports vortices and a finite-temperature Berezinskii-Kosterlitz-Thouless transition may be enhanced to a higher symmetry with no finite temperature phase transition. We present a theoretical description of this phenomenon by reconciling the perturbative spin-waves with the non-perturbative vortex excitations. We also give a potential realization of such behavior in quasi-one-dimensional dipolar cold bosons with competing density wave, superfluid, and supersolid phases.

This talk is part of the Theory of Condensed Matter series.

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