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The conditions for zero-energy Andreev surface bound states to exist arefound for the lattice model of d-wave superconductor with arbitrary surfaceorientation. Both nearest neighbors and next nearest neighbors models areconsidered. It is shown that the results are very sensitive to the surfaceorientation. In particular, for half-filled $(hl0)$-surface zero-energy Andreevsurface states only appear under the condition that $h$ and $l$ are oddsimultaneouslyComment: 9 pages, 1 figur

Zero-energy Andreev surface bound states in the lattice model