Multichannel Kondo Models in Non-Abelian Quantum Hall Droplets

Gregory A. Fiete, Waheb Bishara, and Chetan Nayak
Phys. Rev. Lett. 101, 176801 – Published 20 October 2008

Abstract

We study the coupling between a quantum dot and the edge of a non-Abelian fractional quantum Hall state which is spatially separated from it by an integer quantum Hall state. Near a resonance, the physics at energy scales below the level spacing of the edge states of the dot is governed by a k-channel Kondo model when the quantum Hall state is a Read-Rezayi state at filling fraction ν=2+k/(k+2) or its particle-hole conjugate at ν=2+2/(k+2). The k-channel Kondo model is channel isotropic even without fine-tuning in the former state; in the latter, it is generically channel anisotropic. In the special case of k=2, our results provide a new venue, realized in a mesoscopic context, to distinguish between the Pfaffian and anti-Pfaffian states at filling fraction ν=5/2.

  • Figure
  • Received 5 April 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.176801

©2008 American Physical Society

Authors & Affiliations

Gregory A. Fiete1, Waheb Bishara1, and Chetan Nayak2,3

  • 1Department of Physics, California Institute of Technology, MC 114-36, Pasadena, California 91125, USA
  • 2Microsoft Research, Station Q, CNSI Building, University of California, Santa Barbara, California 93106, USA
  • 3Department of Physics, University of California, Santa Barbara, California, 93106, USA

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Issue

Vol. 101, Iss. 17 — 24 October 2008

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