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Abstract
We consider a twodimensional 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 BerezinskiiKosterlitzThouless transition temperature of the O(2) order vanishes as 1/1n(1/Delta), where Delta denotes the distance from the highsymmetry 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 language  English 

Article number  155703 
Number of pages  5 
Journal  Physical Review Letters 
Volume  109 
Issue number  15 
DOIs  
Publication status  Published  10 Oct 2012 
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Dive into the research topics of 'Unbinding of giant vortices in states of competing order'. Together they form a unique fingerprint.Projects
 2 Finished

Topological Protection and NonEquilibriu: Topological Protection and NonEquilibrium States in Strongly Correlated Electron Systems
Wahl, P., Baumberger, F., Davis, J. C., Green, A., Hooley, C., Keeling, J. M. J. & Mackenzie, A.
1/09/11 → 31/08/17
Project: Standard

An ItinerantElectron Quantum: An ItinerantElectron Quantum Critical Points Instrinsically Multicritical?
Hooley, C. & Green, A.
1/11/10 → 31/10/13
Project: Standard