Abstract
Using a perturbative approach to the infinitely degenerate Bogomolnyi vortex state for a superconductor with we calculate the interaction of vortices in a superconductor with close to We find, numerically and analytically, that depending on the material the interaction potential between the vortices varies with decreasing from purely repulsive (as in a type-II superconductor) to purely attractive (as in a type-I superconductor) in two different ways: either vortices form a bound state and the distance between them changes gradually from infinity to zero or this transition occurs in a discontinuous way as a result of a competition between minima at infinity and zero. We study the discontinuous transition between the vortex and Meissner states caused by the nonmonotonous vortex interaction and calculate the corresponding magnetization jump.
- Received 8 February 2002
DOI:https://doi.org/10.1103/PhysRevB.65.224504
©2002 American Physical Society