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Multichannel Kondo Models in Non-Abelian Quantum Hall Droplets

Fiete, Gregory A. and Bishara, Waheb and Nayak, Chetan (2008) Multichannel Kondo Models in Non-Abelian Quantum Hall Droplets. Physical Review Letters, 101 (17). Art. No. 176801. ISSN 0031-9007. doi:10.1103/PhysRevLett.101.176801.

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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 nu=2+k/(k+2) or its particle-hole conjugate at nu=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 nu=5/2.

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Additional Information:© 2008 The American Physical Society. (Received 5 April 2008; published 20 October 2008) We acknowledge helpful discussions with E. Ardonne, J. Eisenstein, L. Fidkowski, A. Ludwig, and G. Refael. G.A.F. was supported by the Lee A. DuBridge Foundation.
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Lee A. DuBridge FoundationUNSPECIFIED
Issue or Number:17
Record Number:CaltechAUTHORS:FIEprl08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12131
Deposited By: Archive Administrator
Deposited On:24 Oct 2008 21:33
Last Modified:08 Nov 2021 22:25

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