Non-linear theory of deformable superconductors

TL;DR

This paper develops a non-linear theoretical framework describing how lattice deformations interact with superconducting condensates, incorporating electrostatic and strain effects within the Ginzburg-Landau model.

Contribution

It introduces a non-linear interaction term in the Ginzburg-Landau free energy accounting for lattice deformations and electrostatic effects in superconductors.

Findings

Interaction terms can be expressed as local non-linear contributions

Electrostatic potential of Bernoulli type influences superconductor behavior

Strain effects modify material parameters in the free energy

Abstract

Interaction of the superconducting condensate with deformations of the crystal lattice is formulated assuming the electrostatic potential of Bernoulli type and the effect of strain on material parameters. In the isotropic approximation it is shown that within the Ginzburg-Landau theory both contributions can be recast into the local but non-linear interaction term of the free energy.