Electrostatic potential in a superconductor

Abstract

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.

19 pages, 11 figures

References in corpus (3)

• Charged Vortices in High Temperature Superconductors Probed by NMR
• Bernoulli potential at a superconductor surface
• Electric field in stationary superconductors

Cited by in corpus (21)

• Properties of the Ideal Ginzburg-Landau Vortex Lattice
• Superfluid Density and Energy Gap-Function of Superconducting PrPt4Ge12
• Electrically Tunable Superconductivity Through Surface Orbital Polarization
• Superconducting size effect in thin films under electric field: mean-field self-consistent model
• Non-linear theory of deformable superconductors
• Shifts of the nuclear resonance in the vortex lattice in YBa${}_2$Cu${}_3$O${}_7$
• Charge Dynamics of Vortex Cores in Layered Chiral Triplet Superconductors
• Bernoulli potential in type-I and weak type-II supercoductors: II. Surface dipole
• Bernoulli potential in type-I and weak type-II superconductors: I. Surface charge
• Muon spin rotation study of the magnetic penetration depth in the intercalated graphite superconductor CaC6
• Bernoulli potential in type-I and weak type-II superconductors: III. Electrostatic potential above the vortex lattice
• Charge Induced Vortex Lattice Instability
• Vortex induced deformation of the superconductor crystal lattice
• Thermopower in superconductors
• Interaction between ionic lattices and superconducting condensates
• Microscopic mechanism of electric field-induced superconductivity suppression in metallic thin films
• The concept of correlated density and its application
• Surface deformation caused by the Abrikosov vortex lattice
• Interfacial superconductivity in Cu/Cu${}_2$O and its effect on shielding ambient electric fields
• Pseudo Spectral Transform for Schrödinger--Poisson Equations
• Modified Josephson Relation