Quasiclassical approach to vortex-induced suppression of the superconducting electron density in d-wave superconductors -: art. no. 094508

Quasiclassical Eilenberger equations are solved numerically for the case of an isolated two-dimensional vortex in a d-wave superconductor. The asymptotical behavior of the amplitude and the phase of the pairing potential, superconducting current, and superconducting electron density at long distances from the vortex core are obtained. The local Doppler-shift (DS) method is found to work reasonably well for description of the superconducting electron density at distances longer than the coherence length at low temperatures. Nonlocal effects are important inside the vortex core and for a description of the effects of the fourfold vortex symmetry outside the core. It is also shown that at higher temperatures the DS method should be modified by including a pairing potential calculated self-consistently.