Modification of Born impurity scattering near the surface of d-wave superconductors and influence of external magnetic field

Abstract

We study the influence of Born impurity scattering on the zero-energy Andreev bound states near the surface of a d-wave superconductor with and without an externally applied magnetic field. Without an external magnetic field we show that the effect of Born impurity scattering is stronger at the surface than in the bulk. In the presence of an external magnetic field the splitting of the zero-energy Andreev bound states is shown to have a nonmonotonous temperature dependence. Born impurity scattering does not wash out the peak splitting, but instead the peak splitting is shown to be quite robust against impurities. We also show that a nonzero gap renormalization appears near the surface.

arXiv comment9 pages, 17 figures; minor changes; new figure 11; accepted for publication in Phys. Rev. B

References in corpus (14)

• Tunneling into Current-Carrying Surface States of High T${}_c$ Superconductors
• Andreev - Saint James reflections: a probe of cuprate superconductors
• Nonlinear Meissner Effect in CuO Superconductors
• What angle-resolved photemission experiments tell about the microscopic theory for high-temperature superconductors
• The Effect of Surfaces on the Tunneling Density of States of an Anisotropically Paired Superconductor
• Low-Temperature Magnetic Penetration Depth in d-Wave Superconductors: Zero-Energy Bound State and Impurity Effects
• Elastic forward scattering in the cuprate superconducting state
• Broadening of Andreev-Bound States in d_{x^2-y^2} superconductors
• Nodal Quasiparticle Lifetimes in Cuprate Superconductors
• Observation of Andreev bound states in bicrystal grain-boundary Josephson junctions of the electron doped superconductor LaCeCuO
• Effect of Surface Andreev Bound States on the Bean-Livingston Barrier in d-Wave Superconductors
• Influence of impurity scattering on tunneling conductance in normal metal- d -wave superconductor junctions
• Andreev bound states at a cuprate grain boundary junction: A lower bound for the upper critical field
• Two regimes for effects of surface disorder on the zero-bias conductance peak of tunnel junctions involving d-wave superconductors

Cited by in corpus (7)

• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Strong surface contribution to the Nonlinear Meissner Effect
• Topological flat bands in optical checkerboard-like lattices
• Appearance of flat surface bands in three-dimensional topological insulators in a ferromagnetic exchange field
• Impurity Scattering Rate and Coherence factor in Vortex Core of Sign-reversing s-wave Superconductors
• Tunnelling conductance of $d+ip$-wave superconductor
• Impurity strength-temperature phase diagram with phase crystals and competing time-reversal symmetry breaking states in nodal $d$-wave superconductors