Negative electrohydrostatic pressure between superconducting bodies

Abstract

By applying a hydrodynamic representation of non-relativistic scalar electrodynamics to the superconducting order parameter, we predict a negative (attractive) pressure between planar superconducting bodies. For conventional superconductors with London penetration depth ${\lambda }_{\text{L}}\approx 100\text{ nm}$, the pressure reaches tens of ${\text{N/mm}}^2$ at angstrom separations. The resulting surface energies are in better agreement with experimental values than those predicted by the Hartree-Fock theory, and the emergent electric-field screening length is comparable to that of the Thomas-Fermi theory. The model circumvents the bulk limitations of the Bardeen-Cooper-Schrieffer and Ginzburg-Landau theories to the analysis of superconducting quantum devices.

8 pages, 1 figure

References in corpus (13)

• Circuit Quantum Electrodynamics
• The Casimir force between real materials: experiment and theory
• A Materials Perspective on Casimir and van der Waals Interactions
• Black-box superconducting circuit quantization
• Electrodynamics of superconductors
• Platform for measurements of the Casimir force between two superconductors
• Time-dependent Ginzburg-Landau treatment of RF Magnetic Vortices in Superconductors: Vortex-Semiloops in a Spatially Nonuniform Magnetic Field
• Hydrodynamics of Bose and Fermi superfluids at zero temperature: the superfluid nonlinear Schrodinger equation
• Charged Condensate and Helium Dwarf Stars
• Charged Condensation
• Effective Lagrangian and Quantum Screening in Charged Condensate
• On the Casimir effect between superconductors
• DEC-QED: A flux-based 3D electrodynamic modeling approach to superconducting circuits and materials

Cited by in corpus (2)

• Long-time soliton dynamics via a coarse-grained space-time method
• Mesoscopic theory of the Josephson junction