“Universal conductance” at a percolative superconductor-insulator transition in two dimensions

D. Stroud

Physica A: Statistical Mechanics and its Applications, 1994, vol. 207, issue 1, 280-284

Abstract: Precisely at the percolation threshold, we show that a superconductor-insulator composite in 2d behaves like a normal metal, with a conductance ge which is a universal function of the material parameters. For a composite of BCS superconductor and insulator, we find that g̃e = C(g̃Dg̃nεI)12, where εI is the dielectric constant of the insulating component, g̃D = Δd/e2, Δ is the BCS energy gap, d is the film thickness, and C is a dimensionless constant of order unity. g̃e and g̃n are the conductances of the film at threshold, and of the normal component, both measured in units of e2/ħ. Very near the threshold, g̃e falls to zero below a gap which vanishes at pc according to the power law |p − pc|s + t)/2, where s and t are the standard percolation exponents. Above but not below pc, the composite exhibits a perfect-conductance delta-function whose strength falls to zero as (p − pc)t.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:207:y:1994:i:1:p:280-284

DOI: 10.1016/0378-4371(94)90385-9

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