# Enlarged Galilean symmetry of anyons and the Hall effect

@article{Horvthy2005EnlargedGS, title={Enlarged Galilean symmetry of anyons and the Hall effect}, author={Peter A. Horv{\'a}thy and Luigi Martina and Peter C. Stichel}, journal={Physics Letters B}, year={2005}, volume={615}, pages={87-92} }

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… Expand

#### 25 Citations

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Semiclassical wave packets for electrons in crystals, subject to an external electromagnetic field, satisfy Hamiltonian equations. In (2+1)-dimensions and in the limit of uniform fields, the symmetry… Expand

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