Title: Magneto-elastic coupling model of deformable anisotropic superconductors,
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.