2001/11/12 by P. Lipavský, Pavel Lipavsky, Jan Koláček +3 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.65.144511
published as Phys.Rev.B 65,144511 (2002) · 19 pages, 11 figures
arxiv created 2001/11/12 · openalex publication_date 2002/03/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Schr"odinger 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.