Elasticity-driven interaction between vortices in type-II superconductors

Abstract

The contribution to the vortex lattice energy which is due to the vortex-induced strains is calculated covering all the magnetic field range which defines the vortex state. This contribution is compared with previously reported ones what shows that, in the most part of the vortex state, it has been notably underestimated until now. The reason of such underestimation is the assumption that only the vortex cores induce strains. In contrast to what is generally assumed, both core and non-core regions are important sources of strains in high-κ superconductors. 74.25.Qt

Nonlinear theory of deformable superconductors: Ginzburg-Landau description

“…In other words we neglect effects of shear deformations which break the isotropy of the system. The reader interested in the anisotropic interaction is referred to papers by Miranović et al 6 or Cano et al 5 .…”

“…First, there are various phenomenological theories 1,2,3,4,5,6 which assume that the density of electrons exactly follows the density of the lattice, n = n lat . The perturbation of material parameters due to the deformation, e.g., δγ = (∂γ/∂n)δn + (∂γ/∂n lat )δn lat , then can be expressed via the lattice density, δγ = [(∂γ/∂n) + (∂γ/∂n lat )] δn lat .…”

Vortex-induced deformation of the superconductor crystal lattice

“…Since the entropy term merely reduces the amplitude of theŠimánek force, this redistribution of distortions is exclusively due to the gradient correction. According to Cano, Levanyuk and Minyukov [19] the out-of-core lat- Fig. 1.…”

“…[18]. It is also argued that the strain can mediate an attractive long-range interaction between vortices [19].…”

Analytical solutions of the Ginzburg–Landau equations for deformable superconductors in a weak magnetic field

“…1 Superconductors work only if chilled to low temperature, which accompanies with the volume decreasing and deformation. [12][13][14][15] Recently, a unified phenomenological approach was developed and the effective energy was proposed. However, motivated by many observations made in experiments, the magnetoelastic problem and the interaction of the deformation of the crystal lattice with the superconducting condensate in superconductors have attracted a great deal of interests in the past decades.…”