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Interaction of vortices in superconductors with kappa close to 2^(-1/2)

F. Mohamed·I. Luk'yanchuk·M. Troyer·G. Blatter
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Abstract

Using a perturbative approach to the infinitely degenerate Bogomolnyi vortex state for a superconductor with kappa = 2^(-1/2), T -> T_c, we calculate the interaction of vortices in a superconductor with kappa close to 2^(-1/2). We find, numerically and analytically, that depending on the material the interaction potential between the vortices varies with decreasing kappa 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 non-monotonous vortex interaction and calculate the corresponding magnetization jump.

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F. Mohamed, I. Luk'yanchuk, M. Troyer, G. Blatter. 2002-02-08. Interaction of vortices in superconductors with kappa close to 2^(-1/2). https://doi.org/10.1103/physrevb.65.224504

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