Fiete Gregory A, Bishara Waheb, Nayak Chetan
Department of Physics, California Institute of Technology, Pasadena, CA 91125, USA.
Phys Rev Lett. 2008 Oct 24;101(17):176801. doi: 10.1103/PhysRevLett.101.176801. Epub 2008 Oct 20.
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.
我们研究了一个量子点与一个非阿贝尔分数量子霍尔态的边缘之间的耦合，该非阿贝尔分数量子霍尔态与量子点在空间上被一个整数量子霍尔态隔开。在共振附近，当量子霍尔态是填充因子为ν = 2 + k /(k + 2)的Read-Rezayi态或其在ν = 2 + 2 /(k + 2)的粒子-空穴共轭态时，在低于量子点边缘态能级间距的能量尺度下的物理现象由一个k通道近藤模型描述。在前一种状态下，即使没有精细调节，k通道近藤模型也是通道各向同性的；在后一种状态下，它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背景下实现的新途径，以区分填充因子为ν = 5/2时的Pfaffian态和反Pfaffian态。
