Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-01-06
Phys. Rev. B 84, 035101 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 2 figures
Scientific paper
10.1103/PhysRevB.84.035101
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.
Fiete Gregory A.
Sevier Stuart A.
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