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Density of states width-parity effect in d-wave superconducting quantum wires

K. Ziegler, W. A. Atkinson, P. J. Hirschfeld

DOI 10.1103/PhysRevB.64.054512 · Physical Review B

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Abstract

We calculate the density of states (DOS) in a clean mesoscopic d-wave superconducting quantum wire, i.e., a sample of infinite length but finite width N. For open boundary conditions and half-filling, the DOS at zero energy is found to be zero if N is even and nonzero if N is odd. At finite chemical potential, all chains are gapped but the qualtitative differences between even and odd N remain.

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