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Vortex solutions of the Lifshitz-Chern-Simons theory
- Source :
- Phys.Rev. D87 (2013) 025031
- Publication Year :
- 2012
-
Abstract
- We study vortex-like solutions to the Lifshitz-Chern-Simons theory. We find that such solutions exists and have a logarithmically divergent energy, which suggests that a Kostelitz-Thouless transition may occur, in which voxtex-antivortex pairs are created above a critical temperature. Following a suggestion made by Callan and Wilzcek for the global U(1) scalar field model, we study vortex solutions of the Lifshitz-Chern-Simons model formulated on the hyperbolic plane, finding that, as expected, the resulting configurations have finite energy. For completeness, we also explore Lifshitz-Chern-Simons vortex solutions on the sphere.<br />Comment: Published version, added appendix on electromagnetic duality in Lifshitz systems
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys.Rev. D87 (2013) 025031
- Publication Type :
- Report
- Accession number :
- edsarx.1206.0611
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.87.025031