Magnus forces and statistics in 2 + 1 dimensions

Journal Article · Thu May 10 00:00:00 EDT 1990 · Modern Physics Letters A; (USA)

DOI:https://doi.org/10.1142/S0217732390000949· OSTI ID:6448803

Davis, R L ^[1]

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1. 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

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GINZBURG-LANDAU THEORY
SUPERCONDUCTIVITY
HIGGS MODEL
MAGNETIC FLUX
QUASI PARTICLES
SPIN
VORTICES
ANGULAR MOMENTUM
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
656100* - Condensed Matter Physics- Superconductivity
645400 - High Energy Physics- Field Theory