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Bilayer self-dual Josephson junction arrays

Said Sakhi

DOI 10.1103/PhysRevB.73.132505 · Physical Review B

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Abstract

We study the zero-temperature physics of coupled bilayer Josephson junction arrays in the self-dual approximation in the presence of external offset charges and magnetic fluxes. Using a Landau-Ginzburg formulation we describe the effect of the electric and magnetic topological excitations on the quantum phase structure of the self-dual model. Through the condensation of boson fields made up of a whole number of topological excitations, this approach captures with ease various phases of Josephson junction arrays including the superconducting phase and the insulating phase, in addition to quantum Hall phases.

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