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

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

2008-03-29

arxiv.org/abs/0803.4205v2

Phys. Rev. Lett. 101, 176801 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure; references updated, version to appear in PRL

Scientific paper

10.1103/PhysRevLett.101.176801

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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