We study the coupling between a quantum dot and the edge of a non-Abelianfractional quantum Hall state which is spatially separated from it by aninteger quantum Hall state. Near a resonance, the physics at energy scalesbelow 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 atfilling 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 withoutfine tuning in the former state; in the latter, it is generically channelanisotropic. In the special case of $k=2$, our results provide a new venue,realized in a mesoscopic context, to distinguish between the Pfaffian andanti-Pfaffian states at filling fraction $\nu=5/2$.
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机译：我们研究了量子点与非阿贝尔分数阶量子霍尔态的边缘之间的耦合，该非阿贝尔分数阶量子霍尔态在空间上被整数量子霍尔态与其隔开。接近共振时，当量子霍尔态为Read-Rezayi态且填充分数为\\ nu = 2 + k时，点边缘状态能级以下的能量物理受$ k $通道Kondo模型控制。 /（k + 2）$或它的粒子-空穴共轭物在nu = 2 + 2 /（k + 2） $ k $通道的Kondo模型即使在以前的状态下也没有微调，也具有各向同性。在后者中，通常是通道各向异性的。在$ k = 2 $的特殊情况下，我们的结果提供了一个在介观环境中实现的新场所，以区分填充分数$ \ nu = 5/2 $时的Pfaffian状态和反Pfaffian状态。
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