Quasiclassical numerical method for mesoscopic superconductors: bound states in a circular d-wave island with a single vortex

Details Quasiclassical numerical method for mesoscopic superconductors: bound states in a circular d-wave island with a single vortex Quasiclassical numerical method for mesoscopic superconductors: bound states in a circular d-wave island with a single vortex

2012-02-13

arxiv.org/abs/1202.2661v1

Physics

Condensed Matter

Superconductivity

7 pages, 4 figures

Scientific paper

We propose a numerical method for studying mesoscopic superconductors in terms of the quasiclassical theory of superconductivity. Our method is free from ambiguity in initial values for a system that does not have a bulk solution, and allows one to uniquely determine selfconsistent solutions of the Eilenberger equation which are independent of initial conditions for quasiclassical trajectories. To demonstrate the efficiency of our method, we calculate the local density of states in a circular d-wave island containing a single vortex. We find that the so-called vortex shadow effect strongly depends on energy in a circular mesoscopic island.

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