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

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

2007-05-15

arxiv.org/abs/0705.2187v3

Phys. Rev. Lett. 100, 086803 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Published version

Scientific paper

10.1103/PhysRevLett.100.086803

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.

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