Superconductivity in Cu-doped Bi${}_2$Se${}_3$ with potential disorder

Abstract

We study the effects of random nonmagnetic impurities on superconducting transition temperature $T_c$ in a Cu-doped Bi${}_2$Se${}_3$, for which four types of pair potentials have been proposed. Although all the candidates belong to $s$-wave symmetry, two orbital degree of freedom in electronic structures enriches the symmetry variety of a Cooper pair such as even-orbital-parity and odd-orbital-parity. We consider realistic electronic structures of Cu-doped Bi${}_2$Se${}_3$ by using tight-binding Hamiltonian on a hexagonal lattice and consider effects of impurity scatterings through the self-energy of the Green's function within the Born approximation. We find that even-orbital-parity spin-singlet superconductivity is basically robust even in the presence of impurities. The degree of the robustness depends on the electronic structures in the normal state and on the pairing symmetry in orbital space. On the other hand, two odd-orbital-parity spin-triplet order parameters are always fragile in the presence of potential disorder.

arXiv comment11 pages, 3 figures

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Cited by in corpus (7)

• General theory of robustness against disorder in multi-band superconductors
• Lifshitz transition in dirty nematic superconductor
• Bound states around impurities in a superconducting bilayer
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Andreev bound states at nonmagnetic impurities in superconductor/antiferromagnet heterostructures
• Fulde-Ferrell-Larkin-Ovchinnikov state in a superconducting thin film attached to a ferromagnetic cluster
• Sensitivity of superconducting states to the impurity location in layered materials