General theory of robustness against disorder in multi-band superconductors

Abstract

We investigate the influence of general forms of disorder on the robustness of superconductivity in multiband materials. Specifically, we consider a general two-band system where the bands arise from an orbital degree of freedom of the electrons. Within the Born approximation, we show that the interplay of the spin-orbital structure of the normal-state Hamiltonian, disorder scattering, and superconducting pairing potentials can lead to significant deviations from the expected robustness of the superconductivity. This can be conveniently formulated in terms of the so-called "superconducting fitness". In particular, we verify a key role for unconventional $s$-wave states, permitted by the spin-orbital structure and which may pair electrons that are not time-reversed partners. To exemplify the role of Fermi surface topology and spin-orbital texture, we apply our formalism to the candidate topological superconductor Cu${}_x$Bi${}_2$Se${}_3$, for which only a single band crosses the Fermi energy, as well as models of the iron pnictides, which possess multiple Fermi pockets.

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• Using Disorder to Identify Bogoliubov Fermi-Surface States
• Topological nodal line in superfluid ${}^3$He and the Anderson theorem
• Thermoelectric signatures of order-parameter symmetries in iron-based superconducting tunnel junctions
• Inhomogeneous magnetic multiband superconductors
• Bound states around impurities in a superconducting bilayer
• Andreev bound states at nonmagnetic impurities in superconductor/antiferromagnet heterostructures
• Impurity bands in magnetic superconductors with spin density wave
• Circular-polarization-selective perfect reflection from chiral superconductors
• Sensitivity of superconducting states to the impurity location in layered materials
• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$