FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 7, PAGES 129-139

**Hamiltonian theory of anyons in crystals**

L. Martina

Abstract

View as HTML
View as gif image

Semiclassical wave packets for electrons in crystals, subject to
external electromagnetic field, satisfy Hamiltonian equations.
In $(2+1)$-dimensions and in the
limit of uniform fields, the symmetry group results a two-folded
Galilei algebra, incorporating an "exotic" central charge.
It has the physical meaning of the Berry-phase curvature.
In the Hamiltonian scheme, we discuss possible deformations of that
algebra and the physical meaning.

Location: http://mech.math.msu.su/~fpm/eng/k06/k067/k06709h.htm

Last modified: February 13, 2007