# Magneto-elastic coupling model of deformable anisotropic superconductors

## TL;DR

This paper introduces a magneto-elastic coupling model for anisotropic superconductors, extending the Ginzburg-Landau theory to include elasticity effects and comparing predictions with experimental data.

## Contribution

It develops a comprehensive ME coupling model that incorporates anisotropies in superconductivity and elasticity within the Ginzburg-Landau framework, advancing understanding of vortex lattice interactions.

## Key findings

- The ME interaction significantly affects magnetization in materials with strong pressure dependence of T_c.
- The model accurately predicts the slope of magnetization near the upper critical field.
- Magnetization ratios along different axes are unaffected by ME interaction in certain conditions.

## Abstract

We develop a magneto-elastic (ME) coupling model for the interaction between the vortex lattice and crystal elasticity. The theory extends the Kogan-Clem's anisotropic Ginzburg-Landau (GL) model to include the elasticity effect. The anisotropies in superconductivity and elasticity are simultaneously considered in the GL theory frame. We compare the field and angular dependences of the magnetization to the relevant experiments. The contribution of the ME interaction to the magnetization is comparable to the vortex-lattice energy, in materials with relatively strong pressure dependence of the critical temperature. The theory can give the appropriate slope of the field dependence of magnetization near the upper critical field. The magnetization ratio along different vortex frame axes is independent with the ME interaction. The theoretical description of the magnetization ratio is applicable only if the applied field moderately close to the upper critical field.

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Source: https://tomesphere.com/paper/1704.01827