%0 Journal Article
%T Low-lying excitations around a single vortex in a d-wave superconductor
%A Y. Morita
%A M. Kohmoto
%A K. Maki
%J Physics
%D 1997
%I arXiv
%R 10.1209/epl/i1997-00446-x
%X A full quantum-mechanical treatment of the Bogoliubov-de Gennes equation for a single vortex in a d-wave superconductor is presented. First, we find low-energy states extended in four diagonal directions, which have no counterpart in a vortex of s-wave superconductors. The four-fold symmetry is due to 'quantum effect', which is enhanced when $p_{F}\xi $ is small. Second, for $p_{F}\xi \sim 1$, a peak with a large energy gap $E_{0}\sim \Delta $ is found in the density of states, which is due to the formation of the lowest bound states.
%U http://arxiv.org/abs/cond-mat/9706118v1