Fundamental properties of a vortex in a d-wave superconductor

Abstract

The vortex core structure in a d-wave superconductor is analyzed on the basis of the quasi-classical Eilenberger theory beyond the Ginzburg-Landau framework. The current and magnetic field distributions around an isolated vortex break circular symmetry seen in s-wave pairing and show four-fold symmetry, reflecting the internal degrees of freedom in d-wave pairing, {\it i.e.} ${\hat{k}}_x^2-{\hat{k}}_y^2$ in reciprocal space through the low lying quasi-particle excitations. The peculiar orientation of the flux line lattice observed recently in a cuprate is argued in light of the present theory.

11 pages, latex, 4 PostScript figures

Cited by in corpus (6)

• Vortex structure in $d$-wave superconductors
• Effects of gap anisotropy upon the electronic structure around a superconducting vortex
• $s$- and $d_{xy}$-wave components induced around a vortex in $d_{x^2-y^2}$-wave superconductors
• Site-selective nuclear magnetic relaxation time in a superconducting vortex state
• Fermions on quantized vortices in superfluids and superconductors
• Non-Equilibrium Quasiclassical Theory for Josephson Structures