Discrete-Lattice Model for Surface Bound States and Tunneling in d-Wave Superconductors

Abstract

Surface bound states in a discrete-lattice model of a $d_{x^2-y^2}$ cuprate superconductor are shown to be, in general, coherent superpositions of an incoming excitation and more than one outgoing excitation, and a simple graphical construction based on a surface Brillouin zone is developed to describe their nature. In addition, a momentum-dependent lifetime contribution to the width of these bound states as observed in tunneling experiments is derived and elucidated in physical terms.

4 pages, 1 figure, revtex

References in corpus (2)

• Tunneling into Current-Carrying Surface States of High T${}_c$ Superconductors
• Electronic states on a twin boundary of a d-wave superconductor

Cited by in corpus (8)

• Andreev - Saint James reflections: a probe of cuprate superconductors
• Quasiparticle Interface States in Junctions Involving d-Wave Superconductors
• Influence of impurity scattering on tunneling conductance in normal metal- d -wave superconductor junctions
• Superconducting proximity effects in metals with a repulsive pairing interaction
• Realistic Surface Scattering and Surface Bound State Formation in the High T_c Superconductor YBa_2Cu_3O_{6+x}
• Electronic structure of d-wave superconducting quantum wires
• Two regimes for effects of surface disorder on the zero-bias conductance peak of tunnel junctions involving d-wave superconductors
• Zero-energy Andreev surface bound states in the lattice model