paper

Self-consistent electronic structure of a $d_{x^{2} - y^{2}}$ and a $d_{x^{2} - y^{2}} + i d_{x y}$ vortex

arXiv:cond-mat/9710258 · doi:10.1103/PhysRevLett.80.4763

Abstract

We investigate quasiparticle states associated with an isolated vortex in a d-wave superconductor using a self-consistent Bogoliubov-de Gennes formalism. For a pure $d_{x^{2} - y^{2}}$ superconductor we find that there exist no bound states in the core; all the states are extended with continuous energy spectrum. This result is inconsistent with the existing experimental data on cuprates. We propose an explanation for this data in terms of a magnetic-field-induced $d_{x^{2} - y^{2}} + i d_{x y}$ state recently invoked in connection with the thermal conductivity measurements on Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8}$ .

4 pages REVTeX, 3 .ps figures included. Version to appear in PRL, May 24, 1998. Minor changes, references added

Self-consistent electronic structure of a dx2−y2​ and a dx2−y2​+idxy​ vortex

Abstract

Self-consistent electronic structure of a $d_{x^{2} - y^{2}}$ and a $d_{x^{2} - y^{2}} + i d_{x y}$ vortex