Electrostatic potential in a superconductor

Details Electrostatic potential in a superconductor Electrostatic potential in a superconductor

2001-11-12

arxiv.org/abs/cond-mat/0111214v1

Phys.Rev.B 65,144511 (2002)

Physics

Condensed Matter

Superconductivity

19 pages, 11 figures

Scientific paper

10.1103/PhysRevB.65.144511

The electrostatic potential in a superconductor is studied. To this end Bardeen's extension of the Ginzburg-Landau theory to low temperatures is used to derive three Ginzburg-Landau equations - the Maxwell equation for the vector potential, the Schroedinger equation for the wave function and the Poisson equation for the electrostatic potential. The electrostatic and the thermodynamic potential compensate each other to a great extent resulting into an effective potential acting on the superconducting condensate. For the Abrikosov vortex lattice in Niobium, numerical solutions are presented and the different contributions to the electrostatic potential and the related charge distribution are discussed.

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