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Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots

Fiete, Gregory A. and Bishara, Waheb and Nayak, Chetan (2010) Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots. Physical Review B, 82 (3). Art. No. 035301 . ISSN 0163-1829.

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In this paper, we study the coupling between a quantum dot and the edge of a non-Abelian fractional quantum Hall state. We assume the dot is small enough that its level spacing is large compared to both the temperature and the coupling to the spatially proximate bulk non-Abelian fractional quantum Hall state. We focus on the physics of level degeneracy with electron number on the dot. The physics of such a resonant level 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 symmetric even without fine tuning any couplings in the former state; in the latter, it is generically channel asymmetric. The two limits exhibit non-Fermi-liquid and Fermi-liquid properties, respectively, and therefore may be distinguished. By exploiting the mapping between the resonant level model and the multichannel Kondo model, we discuss the thermodynamic and transport properties of the system. In the special case of k=2, our results provide a distinct venue to distinguish between the Pfaffian and anti-Pfaffian states at filling fraction ν=5/2. We present numerical estimates for realizing this scenario in experiment.

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Additional Information:© 2010 The American Physical Society. Received 14 November 2009; revised manuscript received 25 May 2010; published 1 July 2010. 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 and ARO under Grant No. W911NF-09-1-0527.
Funding AgencyGrant Number
Lee A. DuBridge FoundationUNSPECIFIED
Army Research Office (ARO)W911NF-09-1-0527
Issue or Number:3
Classification Code:PACS: 73.43.-f, 71.10.Pm
Record Number:CaltechAUTHORS:20100719-153455294
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19112
Deposited By: Tony Diaz
Deposited On:04 Aug 2010 18:41
Last Modified:03 Oct 2019 01:52

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