Effect of prestrain on coherence length and order parameter

In this paper, an analytical method is presented for determining the effective coherence length and order parameter in a superconductor. The interaction of the deformations of the crystal lattice with the superconducting condensate is considered. A simplified free energy has been used in the literature to estimate the effect of the prestrain on the coherence length and the order parameter. The exact solutions for three dimensional and plane strain problems are obtained. Based on the linear elastic theory, an extensive analysis is made during the positive and negative prestrain for the isotropic material. The results show that the effect of the prestrain on the superconductivity is appreciable. A comparison is made between three dimensional and two dimensional results, and there is not significant difference between the results for two conditions. These explicit solutions provide a convenient tool for evaluating the superconductivity when the material undergoes the deformation.