Noncommuting coordinates in the Hall effect and in vortex dynamics

P. A. Horvathy

Noncommuting coordinates in the Hall effect and in vortex dynamics

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arxiv hep-th/0307175 v1 pith:BQF3H4ML submitted 2003-07-18 hep-th

P. A. Horvathy This is my paper · ORCID

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Laughlin's Ansatz to explain the fractional Quantum Hall effect is derived by coupling a particle associated with ``exotic'' the two-fold central extension of the planar Galilei group. The reduced system is identical to the one used to describe the dynamics of vortices in an incompressible planar fluid.

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Peierls substitution and Hall motion in exotic Carroll dynamics
hep-th 2024-11 accept novelty 5.0 of 10

Exotic Carroll particles with two-parameter central extension move by an anomalous Hall law, and their critical reduction reproduces the Dunne-Jackiw-Trugenberger model underlying the Peierls substitution.

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