Broadening of Andreev-Bound States in d_{x^2-y^2} superconductors

Abstract

We investigate the broadening of the bound states at an interface of an unconventional superconductor by bulk impurity scattering. We use the quasiclassical theory and include impurity scattering in the Born and in the unitarity limit. The broadening of bound states due to unitary scatterers is shown to be substantially weaker than in the Born limit. We study various model geometries and calculate the temperature dependence of the Josephson critical current in the presence of these impurity-broadened bound states.

6 page including 7 figures, submitted to Phys. Rev. B

References in corpus (1)

• Time Reversal Symmetry Breaking States Near Grain Boundaries Between d-wave Superconductors

Cited by in corpus (33)

• Andreev bound states in high-$T_c$ superconducting junctions
• Josephson currents through spin-active interfaces
• Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
• Theory of charge transport in diffusive normal metal / unconventional singlet superconductor contacts
• A phenomenological theory of zero-energy Andreev resonant states
• Quasiclassical description of transport through superconducting contacts
• Low-Temperature Magnetic Penetration Depth in d-Wave Superconductors: Zero-Energy Bound State and Impurity Effects
• Quasiparticle Interface States in Junctions Involving d-Wave Superconductors
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Josephson current between chiral superconductors
• Tunneling Spectra of Skutterudite PrOs_4Sb_{12}
• D-Wave Superconductors near Surfaces and Interfaces: A Scattering Matrix Approach within the Quasiclassical Technique
• Influence of the impurity scattering on charge transport in unconventional superconductor junctions
• Andreev reflection in layered structures: implications for high T_c grain boundary Josephson junctions
• Influence of impurity scattering on tunneling conductance in normal metal- d -wave superconductor junctions
• Tunneling conductance in normal metal - high $T_C$ cuprate junctions in the presence of magnetic field
• Subharmonic gap structure in d-wave superconductors
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Shot noise and multiple Andreev reflections in d-wave superconductors
• Modification of Born impurity scattering near the surface of d-wave superconductors and influence of external magnetic field
• Zero-bias conductance peak splitting due to multiband effect in tunneling spectroscopy
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Josephson effect in d-wave superconductor junctions in a lattice model
• Spontaneous symmetry-breaking at surfaces of $d$-wave superconductors: influence of geometry and surface ruggedness
• Two regimes for effects of surface disorder on the zero-bias conductance peak of tunnel junctions involving d-wave superconductors
• Disordered Josephson Junctions of d-Wave Superconductors
• Shot noise in normal metal-d-wave superconducting junctions
• A finite element method for the quasiclassical theory of superconductivity
• Tunnelling conductance of $d+ip$-wave superconductor
• Influence of impurity-scattering on tunneling conductance in d-wave superconductors with broken time reversal symmetry
• Interplay between single-particle and two-particle tunneling in normal metal-d-wave superconductor junctions probed by shot noise
• Impurity strength-temperature phase diagram with phase crystals and competing time-reversal symmetry breaking states in nodal $d$-wave superconductors
• Self-consistent theory of current injection into $d$ and $d+is$ superconductors