Quantum Hall Conductivity in a Landau Type Model with a Realistic Geometry

F. Chandelier , Y. Georgelin , T. Masson (1) , J. -C. Wallet

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

In this paper, we revisit some quantum mechanical aspects related to the Quantum Hall Effect. We consider a Landau type model, paying a special attention to the experimental and geometrical features of Quantum Hall experiments. The resulting formalism is then used to compute explicitely the Hall conductivity from a Kubo formula.

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

F. Chandelier, Y. Georgelin, T. Masson, J. -C. Wallet. Quantum Hall Conductivity in a Landau Type Model with a Realistic Geometry. Annals of Physics, 2003, 305, pp.60. ⟨hal-00013641⟩