Anisotropic impurities in anisotropic superconductors

Abstract

Physical properties of anisotropic superconductors like the critical temperature and others depend sensitively on the electron mean free path. The sensitivity to impurity scattering and the resulting anomalies are considered a characteristic feature of strongly anisotropic pairing. These anomalies are usually analyzed in terms of s-wave impurity scattering which leads to universal pair breaking effects depending on only two scattering parameters, the mean free path and the impurity cross section. We investigate here corrections coming from anisotropies in the scattering cross section, and find not only quantitative but also qualitative deviations from universal s-wave isotropic pairbreaking. The properties we study are the transition temperature, the density of states, quasiparticle bound states at impurities, and pinning of flux lines by impurities.

19 pages

References in corpus (5)

• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Extended Gapless Regions in Disordered d_{x^2-y^2}-Wave Superconductors
• Why is d-wave pairing in HTS robust in the presence of impurities?
• Comment on the anisotropic impurity scattering in superconductors
• Weak anisotropic impurity scattering in unconventional superconductors

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