Unbinding of giant vortices in states of competing order

J. M. Fellows, S. T. Carr, C. A. Hooley, J. Schmalian

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

We consider a two-dimensional system with two order parameters, one with O(2) symmetry and one with O(M), near a point in parameter space where they couple to become a single O(2+M) order. While the O(2) sector supports vortex excitations, these vortices must somehow disappear as the high symmetry point is approached. We develop a variational argument which shows that the size of the vortex cores diverges as 1/root Delta and the Berezinskii-Kosterlitz-Thouless transition temperature of the O(2) order vanishes as 1/1n(1/Delta), where Delta denotes the distance from the high-symmetry point. Our physical picture is confirmed by a renormalization group analysis which gives further logarithmic corrections, and demonstrates full symmetry restoration within the cores.

Original languageEnglish
Article number155703
Number of pages5
JournalPhysical Review Letters
Volume109
Issue number15
DOIs
Publication statusPublished - 10 Oct 2012

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