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arXiv · 1207.6958

Josephson vortices and the Atiyah-Manton construction

Muneto Nitta
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Abstract

We show that sine-Gordon solitons appear in the low-energy effective theory of a domain wall in a U(1) gauge theory with two charged complex scalar fields with masses, if we introduce the Josephson interaction term between the scalar fields. We identify these sine-Gordon solitons as vortices or CP(1) sigma model instantons in the bulk, which are absorbed into the domain wall world-volume. These vortices can be called as Josephson vortices since they appear in Josephson junctions of two superconductors. This set up gives a physical realization of a lower dimensional analogue of Atiyah-Manton construction of Skyrmions from instanton holonomy.

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Muneto Nitta. 2012-12-03. Josephson vortices and the Atiyah-Manton construction. https://doi.org/10.1103/physrevd.86.125004

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