Interaction of vortices in superconductors with κ close to 1/2

F. Mohamed; M. Troyer; G. Blatter; I. Luk’yanchuk

doi:10.1103/PhysRevB.65.224504

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Interaction of vortices in superconductors with κ close to 1/2

F. Mohamed, M. Troyer, G. Blatter, I. Luk’yanchuk

DOI 10.1103/PhysRevB.65.224504 · Physical Review B

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Abstract

Using a perturbative approach to the infinitely degenerate Bogomolnyi vortex state for a superconductor with κ=1/2,T→Tc, we calculate the interaction of vortices in a superconductor with κ close to 1/2. We find, numerically and analytically, that depending on the material the interaction potential between the vortices varies with decreasing κ 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.