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Boundary Effect and Critical Temperature of Two-Band Superconducting Films: Application to MgB\(_2\)

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Abstract

Based on the two-band Bogoliubov–de Gennes theory, we study the boundary effect of an interface between a two-gap superconductor and an insulator (or vacuum). New boundary terms are introduced into the two-band Ginzburg–Landau free energy, which modifies the boundary conditions for the corresponding order parameters of the superconductor. A microscopic analysis of these terms is also given and the characteristic length scale of the boundary effect can be estimated. The theory allows for a simple calculation of the critical temperature suppression with the decrease in film thickness for the typical two-band superconductor magnesium diboride. Our numerical results are in good agreement with the experimental data observed in this material.

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Authors and Affiliations

  1. Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China

    Jia-Hui Chen, Jian-Tao Che, Chen-Xiao Ye & Hai Huang

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  1. Jia-Hui Chen
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Chen, JH., Che, JT., Ye, CX. et al. Boundary Effect and Critical Temperature of Two-Band Superconducting Films: Application to MgB\(_2\). J Low Temp Phys 212, 113–126 (2023). https://doi.org/10.1007/s10909-023-02981-3

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