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Finite Temperature Transport at the Superconductor-Insulator Transition in Disordered Systems

Igor F. Herbut

DOI 10.1103/PhysRevLett.81.3916 · Physical Review Letters

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Abstract

I argue that the dc limit of the universal crossover function for the conductivity at the superconductor-insulator transition in disordered systems is an analytic function of dimensionality of the system d, with a simple pole at d=1. By combining the exact result for the crossover function in d=1 with the recursion relations in d=1+ε, the leading term in the Laurent series in ε is computed for the systems of disordered bosons. The universal dc critical conductivity for the system with Coulomb interactions in d=2 is estimated to be ∼0.69(2e)2/h, in satisfactory agreement with many experiments.

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