Magnetic properties of deformed superconductors

This communication concerns the geometric effect on magnetic properties of superconductors. The metric description for quantum particles holds only in limited class of medium and the screw-dislocated medium is considered. When the Ginzburg–Landau equation with Maxwellʼs equations was solved based on this description, it was shown that self-adjointness of the operator is guaranteed by specified solutions. As a result, isolated vortex exists at dislocation line.

► The screw-dislocated superconductors with tight-binding approximation.
► The quantum singularity is removed by specific solution.
► Isolated vortex exists at dislocation line.