Superconducting hair on charged black string background
Lukasz Nakonieczny, Marek Rogatko
DOI 10.1103/PhysRevD.85.044013 · Physical Review D
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Abstract
Behavior of Dirac fermions in the background of a charged black string penetrated by an Abelian Higgs vortex is elaborated. One finds evidence that the system under consideration can support fermion fields acting like a superconducting cosmic string in the sense that a nontrivial Dirac fermion field can be carried by the system in question. Nonextremal and extremal black string vortex systems were considered. The influence of electric and Higgs charge, the winding number, and the fermion mass on the fermion localization near the black string event horizon were studied. It turned out that the extreme charged black string expelled fermion fields more violently comparing to the nonextremal one.
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