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Effect of inhomogeneous coupling on BCS superconductors

2007/12/11 by Yue Zou, Israel Klich, Gil Refael · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #BCS theory #Coherence (philosophical gambling strategy) #Coherence length #Condensed matter physics #Coupling (piping) #Coupling constant #Energy (signal processing) #Homogeneous #Iron-based superconductors research #Length scale #Limit (mathematics) #Materials science #Mathematical analysis #Mathematics #Mean field theory #Pairing #Phase (matter) #Phase coherence #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Superconducting coherence length #Superconductivity #Thermodynamics #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.77.144523

published as Phys. Rev. B 77, 144523 (2008) · 12 pages, 14 figures

arxiv created 2007/12/11 · openalex publication_date 2008/04/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the influence of inhomogeneity in the pairing coupling constant U(\stackrelPr) on dirty BCS superconductors, focusing on Tc, the order parameter \ensuremathΔ(\stackrelPr), and the energy gap Eg(\stackrelPr). Within mean-field theory, we find that when the length scale of the inhomogeneity is comparable to or larger than the coherence length, the ratio 2Eg∕Tc is significantly reduced from that of a homogeneous superconductor, while in the opposite limit, this ratio stays unmodified. In two dimensions, when strong phase fluctuations are included, the Kosterlitz-Thouless temperature TKT is also studied. We find that when the inhomogeneity length scale is much larger than the coherence length, 2Eg∕TKT can be larger than the usual BCS value. We use our results to qualitatively explain recent experimental observation of a surprisingly low value of 2Eg∕Tc in thin films.

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