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VOLUME 80 | ISSUE 9 | PAGE 684
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.


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