Magnus forces and statistics in 2 + 1 dimensions
- Institute for Advanced Study, Princeton, NJ (USA)
Spinning vortex solutions to the abelian Higgs model, not Nielsen-Olesen solutions, are appropriate to a Ginzburg-Landau description of superconductivity. The main physical distinction is that spinning vortices experience the Magnus force while Nielsen-Olesen vortices do not. In 2 + 1 dimensional superconductivity without a Chern-Simons interaction, the effect of the Magnus force is equivalent to that of a background fictitious magnetic field. Moreover, the phase obtained an interchanging two quasi-particles is always path-dependent. When a Chern-Simons term is added there is an additional localized Magnus flux at the vortex. For point-like vortices, the Chern-Simons interaction can be seen as defining their intrinsic statistics, but in realistic cases of vortices with finite size in strong Magnus fields the quasi-particle statistics are not well-defined.
- OSTI ID:
- 6448803
- Journal Information:
- Modern Physics Letters A; (USA), Vol. 5:11; ISSN 0217-7323
- Country of Publication:
- United States
- Language:
- English
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SUPERCONDUCTIVITY AND SUPERFLUIDITY
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GINZBURG-LANDAU THEORY
SUPERCONDUCTIVITY
HIGGS MODEL
MAGNETIC FLUX
QUASI PARTICLES
SPIN
VORTICES
ANGULAR MOMENTUM
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
MATHEMATICAL MODELS
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