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The Hall Effect01:30

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Microwave Dynamical Conductivity in the Quantum Hall Regime.

Tomonori Arakawa1, Takashi Oka2, Seitaro Kon1

  • 1National Institute of Advanced Industrial Science and Technology (AIST), National Metrology Institute of Japan (NMIJ), Tsukuba, Ibaraki 305-8563, Japan.

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We developed a noncontact method to measure dynamical conductivity in the quantum Hall effect. This technique reveals microscopic electron dynamics, offering insights beyond traditional static measurements.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Hall Effect
  • Materials Science

Background:

  • Dynamical conductivity probes dissipative and nondissipative electronic processes under AC electric fields.
  • The integer quantum Hall (QH) effect is characterized by robust, nondissipative Hall currents, attributed to localized states within Landau levels.

Purpose of the Study:

  • To establish a noncontact method for measuring the real and imaginary parts of longitudinal and Hall conductivities.
  • To investigate the microscopic information provided by dynamical conductivity measurements in 2D electron systems.

Main Methods:

  • Utilized a circular cavity resonator to detect dynamical conductivity at microwave frequencies.
  • Applied magnetic fields to induce and study the quantum Hall effect.

Main Results:

  • Observed conventional Shubnikov-de Haas oscillations and QH plateaus in the real parts of conductivities.
  • Detected periodic structures in the imaginary parts of conductivities, scaled by the QH filling factor, originating from intra-Landau level transitions.

Conclusions:

  • Dynamical conductivity measurements offer microscopic insights into electron behavior not accessible via static methods.
  • The developed noncontact technique shows promise for studying electron dynamics in other 2D systems, like twisted bilayer graphene.