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arXiv · 0912.0718

Nonrelativistic Chern-Simons Vortices on the Torus

Nikolas Akerblom·Gunther Cornelissen·Gerben Stavenga·Jan-Willem van Holten
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Abstract

A classification of all periodic self-dual static vortex solutions of the Jackiw-Pi model is given. Physically acceptable solutions of the Liouville equation are related to a class of functions which we term Omega-quasi-elliptic. This class includes, in particular, the elliptic functions and also contains a function previously investigated by Olesen. Some examples of solutions are studied numerically and we point out a peculiar phenomenon of lost vortex charge in the limit where the period lengths tend to infinity, that is, in the planar limit.

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Nikolas Akerblom, Gunther Cornelissen, Gerben Stavenga, Jan-Willem van Holten. 2010-01-24. Nonrelativistic Chern-Simons Vortices on the Torus. https://doi.org/10.1063/1.3610643

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