Tc(p) for a disordered superconductor

K. L. Yao; J. W. Halley

doi:10.1103/PhysRevB.29.6207

Tc(p) for a disordered superconductor

K. L. Yao, J. W. Halley

Physics and Astronomy (Twin Cities)

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3 Scopus citations

Abstract

We describe a calculation of Tc(p) in a model of a disordered superconductor which is based on the de GennesSkalShklovskii (dGSS) picture of the large cluster in a percolation system. The calculation is done by carrying out successive decimations on the Landau-Ginzburg Hamiltonian describing the "links" in the model. We calculate Tc(p) by evaluating the renormalized LandauGinzburg coupling when the renormalized Landau-Ginzburg length equals the percolation link length in the dGSS picture. The results reduce to a previous scaling theory in an appropriate limit but contain effects of variations in the amplitude of the superconducting order parameter. The results are in good agreement with experiments on HgxXe1-x mixtures by Epstein, Goldman, Dahlberg, and Mikkelson.

Original language	English (US)
Pages (from-to)	6207-6212
Number of pages	6
Journal	Physical Review B
Volume	29
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevB.29.6207
State	Published - 1984

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T1 - Tc(p) for a disordered superconductor

AU - Yao, K. L.

AU - Halley, J. W.

PY - 1984

Y1 - 1984

N2 - We describe a calculation of Tc(p) in a model of a disordered superconductor which is based on the de GennesSkalShklovskii (dGSS) picture of the large cluster in a percolation system. The calculation is done by carrying out successive decimations on the Landau-Ginzburg Hamiltonian describing the "links" in the model. We calculate Tc(p) by evaluating the renormalized LandauGinzburg coupling when the renormalized Landau-Ginzburg length equals the percolation link length in the dGSS picture. The results reduce to a previous scaling theory in an appropriate limit but contain effects of variations in the amplitude of the superconducting order parameter. The results are in good agreement with experiments on HgxXe1-x mixtures by Epstein, Goldman, Dahlberg, and Mikkelson.

AB - We describe a calculation of Tc(p) in a model of a disordered superconductor which is based on the de GennesSkalShklovskii (dGSS) picture of the large cluster in a percolation system. The calculation is done by carrying out successive decimations on the Landau-Ginzburg Hamiltonian describing the "links" in the model. We calculate Tc(p) by evaluating the renormalized LandauGinzburg coupling when the renormalized Landau-Ginzburg length equals the percolation link length in the dGSS picture. The results reduce to a previous scaling theory in an appropriate limit but contain effects of variations in the amplitude of the superconducting order parameter. The results are in good agreement with experiments on HgxXe1-x mixtures by Epstein, Goldman, Dahlberg, and Mikkelson.

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Tc(p) for a disordered superconductor

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