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

M. Franz·Z. Tešanović
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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 $d_{x^2-y^2}+id_{xy}$ state recently invoked in connection with the thermal conductivity measurements on Bi$_2$Sr$_2$CaCu$_2$O$_8$.

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M. Franz, Z. Tešanović. 1998-04-30. Self-consistent electronic structure of a $d_{x^2-y^2}$ and a $d_{x^2-y^2}+id_{xy}$ vortex. https://doi.org/10.1103/physrevlett.80.4763

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