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Potential and Current Distributions Calculated Across a Quantum Hall Effect Sample at Low and High Currents.

M E Cage1, C F Lavine1

  • 1National Institute of Standards and Technology, Gaithersburg, MD 20899-0001.

Journal of Research of the National Institute of Standards and Technology
|November 21, 2017
PubMed
Summary
This summary is machine-generated.

This study models quantum Hall effect potentials using unique confining and charge-redistribution potentials. Results show realistic current distributions across the sample width, validated by experimental measurements.

Keywords:
breakdown of dissipationless statecharge distributionscurrent distributionslogarithmic charge-redistribution potentialparabolic confining potentialpotential distributionsquantum Hall effecttwo-dimensional electron gas

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics

Background:

  • The quantum Hall effect (QHE) is a phenomenon observed in two-dimensional electron systems subjected to strong magnetic fields.
  • Understanding potential and current distributions is crucial for characterizing QHE devices.

Purpose of the Study:

  • To calculate potential and current distributions across a QHE sample width for varying applied currents.
  • To incorporate both confining and current-induced charge-redistribution potentials for a more accurate model.

Main Methods:

  • Developed a model using parabolic confining potential and logarithmic charge-redistribution potential.
  • Determined potential parameters from existing experimental data (localization and breakdown experiments).
  • Calculated unique potential distributions for currents from 0 μA to 225 μA.

Main Results:

  • The combined potential model yields unique solutions for each current.
  • Demonstrated realistic spatial extent of the conducting two-dimensional electron gas.
  • Observed current cut-off at sample edges, e.g., no flow within 55 magnetic lengths for currents < 215 μA.
  • Achieved excellent agreement between calculated and contactless electro-optic measurements.

Conclusions:

  • The novel potential model accurately describes current flow in QHE samples.
  • The findings provide a more refined understanding of charge distribution and transport phenomena in QHE systems.
  • Experimental validation confirms the model's predictive power for quantum Hall effect devices.