Double point contact in Quantum Hall Line Junctions

Abstract

We show that multiple point contacts on a barrier separating two laterally coupled quantum Hall fluids induce Aharonov-Bohm (AB) oscillations in the tunneling conductance. These quantum coherence effects provide new evidence for the Luttinger liquid behavior of the edge states of quantum Hall fluids. For a two point contact, we identify coherent and incoherent regimes determined by the relative magnitude of their separation and the temperature. We analyze both regimes in the strong and weak tunneling amplitude limits as well as their temperature dependence. We find that the tunneling conductance should exhibit AB oscillations in the coherent regime, both at strong and weak tunneling amplitude with the same period but with different functional form.

4 pages, 3 figures; new version, edited text, 2 new references; figure 2 has been edited; new paragraph in page 1 and minor typos have been corrected

References in corpus (1)

• Kondo Effect in a Quantum Antidot

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• Non-perturbative approach to backscattering off a dynamical impurity in 1D Fermi systems
• FQHE interferometers in strong tunneling regime. The role of compactness of edge fields
• Bound states induced giant oscillations of the conductance in the quantum Hall regime