Enlarged Galilean symmetry of anyons and the Hall effect

Details Enlarged Galilean symmetry of anyons and the Hall effect Enlarged Galilean symmetry of anyons and the Hall effect

2004-12-08

arxiv.org/abs/hep-th/0412090v3

Phys.Lett. B615 (2005) 87-92

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 7 pages. No figures. One more reference added

Scientific paper

10.1016/j.physletb.2005.04.004

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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