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arXiv · 2004.02801

Maxwell-$CP(2)$ vortices in the presence of magnetic impurities

E. da Hora·S. Krusch
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Abstract

We consider a Maxwell-$CP(2)$ model extended to include a magnetic impurity. We focus our attention on the time-independent configurations with radial symmetry, from which we minimize the corresponding energy by following the Bogomol'nyi-Prasad-Sommerfield (BPS) prescription. We use the general first-order expressions in order to introduce modified scenarios in which the impurity plays a relevant role. We then solve the effective first-order equations numerically by means of a finite-difference scheme, from which we comment on the main changes on the shape of the final solutions caused by the presence of a localised impurity. We also discuss the limit when the impurity becomes a delta function.

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E. da Hora, S. Krusch. 2020-04-06. Maxwell-$CP(2)$ vortices in the presence of magnetic impurities. https://arxiv.org/abs/2004.02801

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