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Dephasing of mesoscopic interferences from electron fractionalization.

Karyn Le Hur1

  • 1Département de Physique, Université de Sherbrooke, Québec, Canada.

Physical Review Letters
|October 4, 2005
PubMed
Summary

Electron-electron interactions in one-dimensional Luttinger liquids cause dephasing, weakening Aharonov-Bohm oscillations. This dephasing time is determined by electron fractionalization time.

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Area of Science:

  • Condensed matter physics
  • Mesoscopic physics
  • Quantum transport

Background:

  • Mesoscopic interferences are sensitive to environmental decoherence.
  • Electron-electron interactions play a crucial role in quantum transport phenomena.
  • Luttinger liquid theory describes one-dimensional interacting electron systems.

Purpose of the Study:

  • To investigate the effect of electron-electron interactions on the dephasing of mesoscopic interferences.
  • To analyze the attenuation of Aharonov-Bohm oscillations in one-dimensional Luttinger liquids.

Main Methods:

  • Theoretical investigation of two weakly coupled, clean, and very long Luttinger liquids.
  • Utilizing a Nyquist-noise-type description for electron-electron interactions.
  • Performing an exact calculation based on Luttinger theory.

Main Results:

  • Electron-electron interactions lead to a measurable attenuation of Aharonov-Bohm oscillations.
  • The dephasing time is found to be directly related to the electron fractionalization time.

Conclusions:

  • Electron-electron interactions are a significant source of dephasing in one-dimensional systems.
  • Electron fractionalization governs the decoherence process in these mesoscopic interferences.

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