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Quantum Hall line junction with impurities as a multi-slit Luttinger liquid interferometer

I. Yang·W. Kang·L. N. Pfeiffer·K. W. Baldwin·K. W. West·Eun-Ah Kim·E. Fradkin
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Abstract

We report on quantum interference between a pair of counterpropagating quantum Hall edge states that are separated by a high quality tunnel barrier. Observed Aharonov-Bohm oscillations are analyzed in terms of resonant tunneling between coupled Luttinger liquids that creates bound electronic states between pairs of tunnel centers that act like interference slits. We place a lower bound in the range of 20-40 $μ$m for the phase coherence length and directly confirm the extended phase coherence of quantum Hall edge states.

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I. Yang, W. Kang, L. N. Pfeiffer, K. W. Baldwin, K. W. West, Eun-Ah Kim, E. Fradkin. 2005-01-28. Quantum Hall line junction with impurities as a multi-slit Luttinger liquid interferometer. https://doi.org/10.1103/physrevb.71.113312

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