Enlarged Galilean symmetry of anyons and the Hall effect

P. A. Horvathy; L. Martina; P. Stichel

doi:10.1016/j.physletb.2005.04.004

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Enlarged Galilean symmetry of anyons and the Hall effect

P. A. Horvathy·L. Martina·P. Stichel

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Abstract

Enlarged planar Galilean symmetry, built of both space-time and field variables and also incorporating the ``exotic'' central extension is introduced. It is used to describe non-relativistic anyons coupled to an electromagnetic field. Our theory exhibits an anomalous velocity relation of the type used to explain the Anomalous Hall Effect. The Hall motions, characterized by a Casimir of the enlarged algebra, become mandatory for some critical value(s) of the magnetic field. The extension of our scheme yields the semiclassical effective model of the Bloch electron.

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P. A. Horvathy, L. Martina, P. Stichel. 2005-03-22. Enlarged Galilean symmetry of anyons and the Hall effect. https://doi.org/10.1016/j.physletb.2005.04.004

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