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Characteristic length scales and formation of vortices in the Abelian Higgs model in the presence of a uniform background charge

Egor Babaev

cond-mat.supr-conarXiv:cond-mat/0009451

Abstract

In this brief report we consider a non-local Abelian Higgs model in the presence of a neutralizing uniform background charge. We show that such a system possesses vortices which key feature is a strong radial electric field. We estimate the basic properties of such an object and characteristic length scales in this model.

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