Quasi-particle spectra around a single vortex in a d-wave superconductor

Abstract

Using the Bogoliubov-de Gennes equation, we study quasi-particle spectra around a single vortex in a d-wave superconductor, where a magnetic field is parallel to the c-axis. In the temperature region where the Ginzburg-Landau theory is valid, we find that the local density of states preserves a circular symmetry when the symmetry of the superconducting order parameter is {\it pure} d-wave. It, however, exhibits a four-fold symmetry when the mixing of a s-wave component occurs. A peak with a {\it large energy gap} is found in the local density of states at the center of the vortex, which corresponds to the lowest bound state. Our results are consistent with a recent scanning tunneling microscopy experiment in an YBa${}_2$Cu${}_3$O${}_{7-\delta }$ (YBCO) monocrystal. The breakdown of the Eilenberger theory in YBCO in particular and in the high-T${}_c$ superconductors in generalis discussed.

9 pages, REV TeX file

References in corpus (3)

• Mixed-State Quasiparticle Spectrum for d-wave Superconductors
• GINZBURG-LANDAU THEORY OF VORTICES IN $d$-WAVE SUPERCONDUCTORS
• Vortex State in a d-Wave Superconductor

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