Scattering induced current in a tight-binding band

Laurent Bruneau (1) , Stephan de Bievre (2, 3) , Claude-Alain Pillet (4, 5)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation
2 LPP - Laboratoire Paul Painlevé - UMR 8524
3 SIMPAF - SImulations and Modeling for PArticles and Fluids
4 CPT - Centre de Physique Théorique - UMR 6207
5 CPT - Centre de Physique Théorique - UMR 7332

In the single band tight-binding approximation, we consider the transport properties of an electron in a homogeneous static electric field. We show that repeated interactions of the electron with two-level systems in thermal equilibrium suppress the Bloch oscillations and induce a steady current, the statistical properties of which we study.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Laurent Bruneau, Stephan de Bievre, Claude-Alain Pillet. Scattering induced current in a tight-binding band. Journal of Mathematical Physics, 2011, 52, pp.022109. ⟨10.1063/1.3555432⟩. ⟨hal-00545246⟩