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.

7 pages, 7 figures

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• The Kernel Polynomial Method
• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity
• Current inversion at the edges of a chiral $\mathbf{p}$-wave superconductor