Vortex State in a d-Wave Superconductor

Abstract

We discuss the physics of the vortex state in a $d$-wave superconductor, using the phenomenological Ginzburg-Landau theory, where many novel phenomena arise from the small admixture of the $s$-wave component induced by spatial variations in the dominant $d$-wave. Properties of an isolated vortex and of the Abrikosov vortex lattice are studied by means of analytic and numerical methods. An isolated vortex has a considerable structure, with four ``extra'' nodes in the $s$-wave order parameter symmerically placed around the core and an amplitude forming a four-lobe profile decaying as $1/r^2$ at large distances. The supercurrent and magnetic field distributions are also calculated. The Abrikosov lattice is in general oblique with the precise shape determined by the magnetic field and $s$-$d$ mixing parameter ${\epsilon }_v$. The magnetic field distribution in the Abrikosov state has two nonequivalent saddle points resulting in the prediction of a double peak line shape in $\mu$SR and NMR experiments as a test of a $d$-wave symmetry. Detailed comparison is made with existing experimental data and new experiments are proposed to test for the predicted effects.

22 pages, REVTeX, 13 figures available upon request

References in corpus (2)

• Mixed-State Quasiparticle Spectrum for d-wave Superconductors
• GINZBURG-LANDAU THEORY OF VORTICES IN $d$-WAVE SUPERCONDUCTORS

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