Zero-energy Andreev surface bound states in the lattice model
A. M. Bobkov
Institute of Solid State Physics RAS, 142432 Chernogolovka, Moscow reg., Russia
PACS: 74.25.Jb, 74.45.+c
Abstract
The conditions for zero-energy Andreev surface bound
states to exist are found for the lattice model of d-wave
superconductor with arbitrary surface orientation. Both nearest
neighbors and next nearest neighbors models are considered. It is
shown that the results are very sensitive to the surface
orientation. In particular, for half-filled (hl0)-surface
zero-energy Andreev surface states only appear under the condition
that h and l are odd simultaneously.