Coherent Potential Approximation for `d - wave' Superconductivity in Disordered Systems
arXiv:cond-mat/9901159 · doi:10.1103/PhysRevB.60.7523
Abstract
A Coherent Potential Approximation is developed for s-wave and d-wave superconductivity in disordered systems. We show that the CPA formalism reproduces the standard pair-breaking formula, the self-consistent Born Approximation and the self-consistent T-matrix approximation in the appropriate limits. We implement the theory and compute T_c for s-wave and d-wave pairing using an attractive nearest neighbor Hubbard model featuring both binary alloy disorder and a uniform distribution of scattering site potentials. We determine the density of states and examine its consequences for low temperature heat capacity. We find that our results are in qualitative agreement with measurements on Zn doped YBCO superconductors.
35 pages, 23 figures, submitted to Phys Rev. B
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- Superconducing Alloys with Weak and Strong Scattering: Anderson's Theorem and a Superconductor-Insulator Transition
- Interplay of quantum magnetic and potential scattering around Zn or Ni impurity ions in superconducting cuprates
- Effect of disorder on superconductivity in the boson-fermion model
- Viscosity Enhancement by Electron-Hole Collisions in Dirac Electron Fluid
- Full orbital decomposition of Yu-Shiba-Rusinov states based on first principles
- Van Hove Singularity and Superconductivity in Disordered Hubbard Model
- Local density of states induced by anisotropic impurity scattering in a d-wave superconductor
- Validity of Anderson's theorem for s-wave superconductors
- Appearance of Antiferromagnetism and Superconductivity in Superconducting Cuprates
- Effect of anisotropic impurity scattering on a density of states of a d-wave superconductor
- Spatial fluctuations of the pairing potential in disordered superconductors