Non-magnetic impurities in two dimensional superconductors

Abstract

A numerical approach to disordered 2D superconductors described by BCS mean field theory is outlined. The energy gap and the superfluid density at zero temperature and the quasiparticle density of states are studied. The method involves approximate self-consistent solutions of the Bogolubov-deGennes equations on finite square lattices. Where comparison is possible, the results of standard analytic approaches to this problem are reproduced. Detailed modeling of impurity effects is practical using this approach. The {\it range} of the impurity potential is shown to be of {\it quantitative importance} in the case of strong potential scatterers. We discuss the implications for experiments, such as the rapid suppression of superconductivity by Zn doping in Copper-Oxide superconductors.

16 pages, latex, 8 figures( available upon request)

References in corpus (5)

• Disorder Effects in Two-Dimensional d-wave Superconductors
• Influence of Gap Extrema on the Tunneling Conductance Near an Impurity in an Anisotropic Superconductor
• Resonant Impurity Scattering in a Strongly Correlated Electron Model
• Impurities and Quasi-One Dimensional Transport in a D-wave Superconductor
• Disorder effect in low dimensional superconductors

Cited by in corpus (48)

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• Local Electronic Structure of Defects in Superconductors
• Inhomogeneous order-parameter suppression in disordered d-wave superconductors
• Details of disorder matter in 2D d-wave superconductors
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• Non-magnetic impurity scattering in a $d_{x^2-y^2}$ superconductor near a van Hove point: Zn versus Ni in the cuprates
• Effect of unitary impurities in non-STM-types of tunneling in high-T_c superconductors
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• Nonzero Fermi Level Density of States for a Disordered d-Wave Superconductor
• T-Matrix Formulation of Impurity Scattering in Correlated Systems
• Self-consistent interface properties of d and s-wave superconductors
• Density of States of a d-wave Superconductor in the Presence of Strong Impurity Scatterers: a Non Perturbative Result
• Scattering by impurity-induced order parameter ``holes'' in d-wave superconductors
• Coherent Potential Approximation for `d - wave' Superconductivity in Disordered Systems
• Effect of spatial variations of superconducting gap on suppression of the transition temperature by impurities
• Microscopic self-consistent theory of Josephson junctions including dynamical electron correlations
• Effects of dilute Zn impurities on the uniform magnetic susceptibility of YBa2Cu3O{7-delta}
• Quasiparticle Localization in Disordered d-Wave Superconductors
• Extended Impurity Potential in a d_{x^2-y^2} Superconductor
• Local suppression of the superfluid density of PuCoGa${}_5$ in the Swiss Cheese model
• Dirac Fermions with Disorder in Two Dimensions: Exact Result
• Muon spin rotation measurements of the superfluid density in fresh and aged superconducting PuCoGa${}_5$
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• Anomalous Temperature Dependence of Spin Susceptibility around a Nonmagnetic Impurity in High-Tc Cuprate Superconductors
• Microscopic Hamiltonian for Zn or Ni substituted high temperature cuprate superconductors
• Analysis of the Knight shift data on Li and Zn substituted YBCO
• Effect of non-magnetic impurities on the gap of a $d_{x^2-y^2}$ superconductor as seen by angle-resolved photoemission
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• Zeroth Order Phase Transition in a Holographic Superconductor with Single Impurity
• Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity
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• Effect of superconducting correlation on the localization of quasiparticles in low dimensions
• Effects of extended impurity perturbation in d-wave superconductor
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• The importance of self-consistency in determining interface properties of S-I-N and D-I-N structures
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• Superconductor to metal transition in overdoped cuprates
• Subgap two-particle spectral weight in disordered $s$-wave superconductors: Insights from mode coupling approach