Density of states width-parity effect in d-wave superconducting quantum wires - art. no. 054512

We calculate the density of states (DOS) in a clean mesoscopic d-wave super conducting 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 i s found to be zero if N is even and nonzero if N is odd. At finite chemical potential, all chains are capped but the qualtitative differences between even and odd N remain.