Boundary effects in two-band superconductors

Abstract

We present a microscopic study of the behavior of the order parameters near boundaries of a two-band superconducting material, described by the standard tight-binding Bardeen-Cooper-Schrieffer model. We find superconducting surface states. The relative difference between bulk and surface critical temperatures is a nontrivial function of the interband coupling strength. For superconductors with weak interband coupling, boundaries induce variations of the gaps with the presence of multiple length scales, despite non-zero interband Josephson coupling.

arXiv comment7 pages, 7 figures

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• Spontaneous edge corner currents in $s+is$ superconductors and time reversal symmetry breaking surface states
• Boundary-induced singularity in strongly-correlated quantum systems at finite temperature
• Enhanced Superconductivity at a Corner for the Linear BCS Equation
• Universal crossover in surface superconductivity: Impact of varying Debye energy