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)


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
Issue number15
Publication statusPublished - 10 Oct 2012


Dive into the research topics of 'Unbinding of giant vortices in states of competing order'. Together they form a unique fingerprint.

Cite this