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Thermally fluctuating superconductors in two dimensions

Subir Sachdev () and Oleg A. Starykh
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Subir Sachdev: Yale University
Oleg A. Starykh: Yale University

Nature, 2000, vol. 405, issue 6784, 322-325

Abstract: Abstract In many two-dimensional superconducting systems1,2,3,4, such as Josephson-junction arrays, granular superconducting films, and the high-temperature superconductors, it appears that the electrons bind into Cooper pairs below a pairing temperature (TP) that is well above the Kosterlitz–Thouless temperature (TKT, the temperature below which there is long-range superconducting order5,6,7,8,9,10). The electron dynamics at temperatures between TKT and TP involve a complex interplay of thermal and quantum fluctuations, for which no quantitative theory exists. Here we report numerical results for this region, by exploiting its proximity to a T = 0 superconductor–insulator quantum phase transition11,12. This quantum critical point need not be experimentally accessible for our results to apply. We characterize the static, thermodynamic properties by a single dimensionless parameter, γ(T). Quantitative and universal results are obtained for the frequency dependence of the conductivity, which are dependent only upon γ(T) and fundamental constants of nature.

Date: 2000
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DOI: 10.1038/35012530

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