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Related Experiment Videos

Double point contact in quantum Hall line junctions.

Eun-Ah Kim1, Eduardo Fradkin

  • 1Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green Street, Urbana, Illinois 61801-3080, USA.

Physical Review Letters
|November 13, 2003
PubMed
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Multiple point contacts on quantum Hall fluids create Aharonov-Bohm oscillations, offering new evidence for Luttinger liquid behavior in edge states. Coherent and incoherent regimes were identified, impacting tunneling conductance oscillations.

Area of Science:

  • Condensed Matter Physics
  • Quantum Phenomena
  • Mesoscopic Physics

Background:

  • Quantum Hall fluids exhibit unique edge states.
  • Luttinger liquid theory describes interacting one-dimensional systems.
  • Aharonov-Bohm (AB) effect demonstrates quantum interference.

Purpose of the Study:

  • Investigate Aharonov-Bohm oscillations in tunneling conductance.
  • Provide evidence for Luttinger liquid behavior in quantum Hall edge states.
  • Analyze coherent and incoherent regimes based on contact separation and temperature.

Main Methods:

  • Theoretical analysis of tunneling conductance.
  • Modeling of multiple point contacts on quantum Hall fluids.
  • Examination of strong and weak tunneling amplitude limits.

Related Experiment Videos

  • Temperature dependence analysis.

    • Main Results:

    • Multiple point contacts induce Aharonov-Bohm oscillations in tunneling conductance.
    • Coherent and incoherent regimes identified for two-point contacts.
    • AB oscillations observed in both strong and weak tunneling limits within the coherent regime.
    • Functional form of oscillations differs between tunneling limits.

    Conclusions:

    • Quantum coherence effects in tunneling conductance support Luttinger liquid behavior.
    • Contact separation and temperature are critical in determining coherent/incoherent regimes.
    • Aharonov-Bohm oscillations provide a sensitive probe of edge state properties.