Abstract
It is shown that a non-relativistic scalar field minimally coupled to electromagnetism supports in the presence of a homogeneous background electric charge density the existence of smooth, finite-energy topologically stable flux vortices. The static properties of such vortices and vortex pairs are studied in detail in the context of a two-parameter model describing this system as a special case. The interaction potential of two minimal vortices is obtained for various values of the parameters. It is proven analytically that a free vortex is spontaneously pinned, while under the action of an external force it moves with a calculable speed perpendicular to it. In a homogeneous external current J the vortex velocity is V = − J , reminiscent of the opposite-sign Hall effect in superconductors. Other theories with the same vortex behaviour are briefly discussed.
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