Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states

Roni Ilan, Eytan Grosfeld, Ady Stern

Published 2007-05-15, updated 2008-05-27Version 3

We consider a quantum dot in the regime of the quantum Hall effect, particularly in Laughlin states and non-Abelian Read-Rezayi states. We find the location of the Coulomb blockade peaks in the conductance as a function of the area of the dot and the magnetic field. When the magnetic field is fixed and the area of the dot is varied, the peaks are equally spaced for the Laughlin states. In contrast, non-Abelian statistics is reflected in modulations of the spacing which depend on the magnetic field.