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Quantum Critical Phenomena in Charged Superconductors

Matthew P. A. Fisher, G. Grinstein

DOI 10.1103/PhysRevLett.60.208 · Physical Review Letters

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Abstract

We study the effect of Coulomb interactions on the onset of superconductivity with increasing intergrain coupling in granular systems at T=0. We show that in three dimensions (3D) the onset transition is described by Euclidean scalar electrodynamics, and so can be either first or second order, depending on parameters. A renormalization-group analysis indicates that in 2D the transition can either be first order, or second order with 3D−XY-like critical behavior. In 1D Coulomb forces are shown to destroy the superconducting state.

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