English

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

Mesoscale and Nanoscale Physics 2009-11-13 v3

Abstract

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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Cite

@article{arxiv.0705.2187,
  title  = {Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states},
  author = {Roni Ilan and Eytan Grosfeld and Ady Stern},
  journal= {arXiv preprint arXiv:0705.2187},
  year   = {2009}
}

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