Plasmon scattering approach to energy exchange and high frequency noise in nu=2 quantum Hall edge channels

Pascal Degiovanni (1) , Charles Grenier (1) , Gwendal Fève (2) , Carles Altimiras (3) , Hélène Le Sueur (3) , Frédéric Pierre (3)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
2 LPA - Laboratoire Pierre Aigrain
3 LPN - Laboratoire de photonique et de nanostructures

Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency noise, which are shown to fully characterize the low energy plasmon scattering. In the strong interaction limit, the predictions for energy redistribution are compared with recent experimental data and found to reproduce most of the observed features. Quantitative agreement can be achieved by assuming 25 % of the injected energy is lost towards other degrees of freedom, possibly the additional gapless excitations predicted for smooth edge potentials.

Keywords: Integer Quantum Hall Effect; Quantum Transport; Decoherence; Noise

Domains: Physics [physics]; Condensed Matter [cond-mat]; Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall]

Pascal Degiovanni, Charles Grenier, Gwendal Fève, Carles Altimiras, Hélène Le Sueur, et al.. Plasmon scattering approach to energy exchange and high frequency noise in nu=2 quantum Hall edge channels. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2010, 81 (12), pp.121302(R). ⟨10.1103/PhysRevB.81.121302⟩. ⟨ensl-00424257⟩