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Fabry-Perot interferometry with fractional charges.

D T McClure1, W Chang, C M Marcus

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review Letters
|September 26, 2012
PubMed
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Electronic Fabry-Perot interferometers show Coulomb-dominated resistance oscillations in fractional quantum Hall (FQH) states, with an effective tunneling charge of e/3. This contrasts with integer quantum Hall (IQH) states, offering insights into FQH physics.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Hall Effect
  • Mesoscopic Physics

Background:

  • Quantum Hall (QH) effect exhibits distinct integer (IQH) and fractional (FQH) regimes.
  • Fabry-Perot interferometers are sensitive probes of electronic properties in 2D systems.
  • Understanding charge carriers in FQH states is crucial for topological quantum computing.

Purpose of the Study:

  • To compare resistance oscillations in FQH and IQH states within electronic Fabry-Perot interferometers.
  • To determine the effective tunneling charge in FQH and IQH regimes.
  • To investigate the temperature dependence and energy scales of these oscillations.

Main Methods:

  • Fabrication and measurement of electronic Fabry-Perot interferometers.
  • Characterization of resistance oscillations as a function of gate voltage and magnetic field.
  • Analysis using a charging model and temperature-dependent decay measurements.

Main Results:

  • Resistance oscillations near FQH filling factors (1/3, 2/3, 4/3, 5/3) are Coulomb dominated.
  • Effective tunneling charge e* ≈ e/3 for FQH states and e* ≈ e for IQH states was determined.
  • Oscillation decay is exponential with temperature, consistent with theoretical predictions.

Conclusions:

  • The study confirms Coulomb dominance in FQH oscillations and quantifies the effective charge.
  • The findings provide insights into the nature of charge carriers and edge structure in FQH states.
  • Fabry-Perot interferometry is a valuable tool for probing FQH phenomena.