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

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 $\mu$m for the phase coherence length and directly confirm the extended phase coherence of quantum Hall edge states.

4 pages, 3 figures, 1 table

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Cited by in corpus (14)

• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Inter-edge interactions and novel fixed points at a junction of quantum Hall line junctions
• Andreev reflection of fractional quantum Hall quasiparticles
• Line junction in a quantum Hall system with two filling fractions
• Edge State Tunneling in a Split Hall Bar Model
• Edge Magnetoplasmons in Quantum Hall Line Junction Systems
• Tunneling in Fractional Quantum Hall line junctions
• Calculation and spectroscopy of the Landau band structure at a thin and atomically precise tunneling barrier
• Quantum Pump for Fractional Charge
• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Frequency-Temperature Crossover in the Conductivity of Disordered Luttinger Liquids
• AC conductivity of a quantum Hall line junction
• Disorder-induced magnetooscillations in bilayer graphene at high bias
• Laterally coupled and field-induced quantum Hall systems