Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States

TL;DR

This paper explores how electron tunneling between multiple quantum dots and non-Abelian quantum Hall edges leads to diverse low-energy fixed points, including non-Fermi liquid states, expanding understanding of quantum impurity physics.

Contribution

It generalizes previous single-dot studies to multiple dots, revealing a variety of new low-energy fixed points with potential non-Fermi liquid behavior.

Findings

Multiple fixed points with non-Fermi liquid properties identified

Spatial arrangement of dots affects the fixed point structure

New research directions in multi-impurity quantum systems

Abstract

We study the physics of electron tunneling between multiple quantum dots and the edge of a quantum Hall state. Our results generalize earlier work [G. A. Fiete, W. Bishara, C. Nayak, Phys. Rev. Lett. 101, 176801 (2008)] in which it was shown that a single quantum dot tunnel coupled to a non-Abelian quantum Hall state can realize a stable multi-channel Kondo fixed point at low-energy. In this work, we investigate the physics of multiple dots and find that a rich set of possible low-energy fixed points arises, including those with non-Fermi liquid properties. Previously unidentified fixed points may also be among the possibilities. We examine both the situation where the dots are spatially separated and where they are in close proximity. We discuss the relation to previous work on two-impurity Kondo models in Fermi liquids and highlight new research directions in multiple quantum impurity problems.