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TT: Fachverband Tiefe Temperaturen
TT 16: Correlated Electrons: Low-dimensional Systems - Models 2
TT 16.8: Talk
Tuesday, March 27, 2012, 11:30–11:45, H 0104
Charge Fractionalization on Quantum Hall Edges — •Mats Horsdal1, Marianne Rypestøl2, Hans Hansson3, and Jon Magne Leinaas2 — 1Institute for Theoretical Physics, University of Leipzig, D-04009 Leipzig, Germany — 2Department of Physics, University of Oslo, N-0316 Oslo, Norway — 3Department of Physics, Stockholm University, AlbaNova University Center, SE-106 91 Stockholm, Sweden
I will discuss the propagation and fractionalization of localized charges on the edges of quantum Hall bars of variable widths, where interactions between the edges give rise to Luttinger liquid behavior with a non-trivial interaction parameter g. I will focus in particular on the separation of an initial charge pulse into a sharply defined front charge and a broader tail. The front pulse describes an adiabatically dressed electron which carries a non-integer charge, which is √g times the electron charge. I will discuss how the presence of this fractional charge can, in principle, be detected through measurements of the noise in the current created by tunneling of electrons into the system. The results are illustrated by numerical simulations of a simplified model of the Hall bar.