Landau-Ginzburg approach to topological excitations in Josephson junction arraysS. Sakhi
College of Arts and Sciences, American University of Sharjah P.O. Box 26666, Sharjah, United Arab Emirates
received 15 October 2005; accepted in final form 29 November 2005
published online 16 December 2005
We study the zero-temperature physics of planar Josephson junction arrays in the self-dual approximation in the presence of external offset charges and magnetic fluxes. We introduce a new Landau-Ginzburg formulation to describe both types of topological excitations (electric and magnetic) that determine the quantum phase structure of the model. Through the condensation of the boson fields, this approach captures with ease various phases of Josephson junction arrays including the superconducting phase, the insulating phase, in addition to a novel quantum Hall phase that results from the condensation of composites formed by electric and magnetic topological excitations.
74.81.Fa - Josephson junction arrays and wire networks.
73.43.-f - Quantum Hall effects.
74.20.De - Phenomenological theories (two-fluid, Ginzburg-Landau, etc.).
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