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Zbl 1171.81020
Chen, Robin Ming; Spirn, Daniel
Symmetric Chern-Simons-Higgs vortices.
(English)
[J] Commun. Math. Phys. 285, No. 3, 1005-1031 (2009). ISSN 0010-3616; ISSN 1432-0916/e

Summary: We prove the existence of radially symmetric vortices of the static nonself-dual Chern-Simons-Higgs equations with and without magnetic field in dimension 2. The vortex profiles are shown to be monotonically increasing and bounded. For a given vorticity $n$, when there is no magnetic field we prove that the $n$-vortices are stable for $n = 0, \pm 1$.
MSC 2000:
*81T40 Two-dimensional field theories, etc.
81T13 Gauge theories
81V70 Appl. of quantum theory to many-body systems
82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
82D55 Superconductors

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