Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets

Fiete, Gregory A.; Bishara, Waheb; Nayak, Chetan

Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets

Authors

Fiete, Gregory A.

Bishara, Waheb

Nayak, Chetan

Description

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 $ν=5/2$.
4 pages, 1 figure; references updated, version to appear in PRL