Vortex solutions of the Lifshitz-Chern-Simons theory

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.

Published version, added appendix on electromagnetic duality in Lifshitz systems

References in corpus (3)

• Topological Order and Conformal Quantum Critical Points
• Evidence for a fractional quantum Hall state with anisotropic longitudinal transport
• Effective Field Theory of Fractional Quantized Hall Nematics

Cited by in corpus (1)

• Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories