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 -channel Kondo model when the quantum Hall state is a Read-Rezayi state at filling fraction or its particle-hole conjugate at . The -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 , our results provide a new venue, realized in a mesoscopic context, to distinguish between the Pfaffian and anti-Pfaffian states at filling fraction .
- Received 5 April 2008
DOI:https://doi.org/10.1103/PhysRevLett.101.176801
©2008 American Physical Society