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Superconducting alloys with weak and strong scattering: Anderson’s theorem and a superconductor-insulator transition

2000/08/02 by R. Moradian, Rostam Moradian, James F. Annett +5
Physics and Astronomy · #Advanced Chemical Physics Studies #Condensed matter physics #Impurity #Magnetic field #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Scattering #Superconductivity #Weak localization #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.63.024501

28 pages, 13 figures

arxiv created 2000/08/02 · openalex publication_date 2000/12/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We have studied the effects of strong impurity scattering on disordered superconductors beyond the low-impurity concentration limit. By applying the full coherent potential approximation to a superconductiong A-B binary alloy, we calculated the fluctuations of the local order parameters \ensuremathΔA,\ensuremathΔB and charge densities nA,nB for weak and strong on-site disorder. We find that for narrow band alloy s-wave superconductors the conditions for Anderson's theorem are satisfied in general only for the case of particle-hole symmetry. In this case it is satisfied regardless of whether we are in the weak or strong scattering regimes. Interestingly, we find that strong scattering leads to band splitting, and in this regime for any band filling we have a critical concentration where a superconductor-insulator quantum phase transition occurs at T=0.

Citations