Quantum pump for fractional charge

and

Published 17 June 2008 Europhysics Letters Association
, , Citation S. Das and V. Shpitalnik 2008 EPL 83 17004 DOI 10.1209/0295-5075/83/17004

0295-5075/83/1/17004

Abstract

We propose a theoretical scenario for pumping of fractionally charged quasi-particle in the context of ν=1/3 fractional quantum Hall liquid. We consider quasi-particle pumping across an anti-dot level tuned close to the resonance. Fractional charge pumping is achieved by slow and periodic modulation of coupling of the anti-dot level to left and right moving edges of a Hall bar set-up. This is attained by periodically modulating the gate voltages controlling the couplings. In order to obtain quantization of pumped charge in the unit of the electronic charge fraction (νe) per pumping cycle in the adiabatic limit, we argue that the only possibility is to tune the quasi-particle operator to be irrelevant from being relevant in the renormalization group sense, which can be accomplished by invoking quantum Hall line junctions into the Hall bar geometry. We also comment on the possibility for experimental realization of the above scenario.

Export citation and abstract BibTeX RIS

10.1209/0295-5075/83/17004