Local density of states at polygonal boundaries of d-wave superconductors

Details Local density of states at polygonal boundaries of d-wave superconductors Local density of states at polygonal boundaries of d-wave superconductors

2005-02-03

arxiv.org/abs/cond-mat/0502073v1

Phys. Rev. B 71, 214508 (2005)

Physics

Condensed Matter

Superconductivity

10 pages, 11 figures; submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.71.214508

Besides the well-known existence of Andreev bound states, the zero-energy local density of states at the boundary of a d-wave superconductor strongly depends on the boundary geometry itself. In this work, we examine the influence of both a simple wedge-shaped boundary geometry and a more complicated polygonal or faceted boundary structure on the local density of states. For a wedge-shaped boundary geometry, we find oscillations of the zero-energy density of states in the corner of the wedge, depending on the opening angle of the wedge. Furthermore, we study the influence of a single Abrikosov vortex situated near a boundary, which is of either macroscopic or microscopic roughness.

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