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Dynamics of vortices with magnetic impurities

Krusch, Steffen, Cockburn, Alexander, Muhamed, Abera Ayalew (2017) Dynamics of vortices with magnetic impurities. Journal of Mathematical Physics, 58 . 063509. ISSN 0022-2488. E-ISSN 1089-7658. (doi:10.1063/1.4984980)

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We investigate the dynamics of BPS vortices in the presence of magnetic impurities taking the form of axially-symmetric localised lumps and delta-functions. We present numerical results for vortices on flat space, as well as exact results for vortices on hyperbolic space in the presence of delta-function impurities. In fact, delta-function impurities of appropriate strength can be captured within the moduli space approximation by keeping one or more of the vortices fixed. We also show that previous work on vortices on the 2-sphere extends naturally to the inclusion of delta-function impurities.

Item Type: Article
DOI/Identification number: 10.1063/1.4984980
Subjects: Q Science > QA Mathematics (inc Computing science) > QA440 Geometry
Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Steffen Krusch
Date Deposited: 09 Dec 2015 11:43 UTC
Last Modified: 29 May 2019 16:40 UTC
Resource URI: (The current URI for this page, for reference purposes)
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