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Resonant Tunneling Between Quantum Hall Edge States

K. Moon·H. Yi·C. L. Kane·S. M. Girvin·Matthew P. A. Fisher
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Abstract

Resonant tunneling between fractional quantum Hall edge states is studied in the Luttinger liquid picture. For the Laughlin parent states, the resonance line shape is a universal function whose width scales to zero at zero temperature. Extensive quantum Monte Carlo simulations are presented for $ν= 1/3$ which confirm this picture and provide a parameter-free prediction for the line shape.

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K. Moon, H. Yi, C. L. Kane, S. M. Girvin, Matthew P. A. Fisher. 1993-04-07. Resonant Tunneling Between Quantum Hall Edge States. https://doi.org/10.1103/physrevlett.71.4381

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