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Relationship between the noise-induced persistent current and the dephasing rate

Kravtsov1, Altshuler

  • 1The Abdus Salam International Centre for Theoretical Physics, P.O.B. 586, 34100 Trieste, Italy and Landau Institute for Theoretical Physics, 2 Kosygina Street, 117940 Moscow, Russia and and Centre for Advanced Study, Drammensveien 78, N-0271 Oslo,

Physical Review Letters
|October 6, 2000
PubMed
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AC noise in disordered conductors causes electron dephasing and DC current in mesoscopic rings. A simple relationship, tau(φ) = C(β)e, connects dephasing rate and current, suggesting a common solution to persistent current and dephasing puzzles.

Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Mesoscopic systems

Background:

  • AC noise in disordered conductors leads to electron dephasing and DC current in mesoscopic rings.
  • Understanding the interplay between noise-induced dephasing and persistent currents is crucial for mesoscopic physics.

Purpose of the Study:

  • To demonstrate a simple relationship between the dephasing rate and the DC current induced by AC noise in disordered conductors.
  • To investigate the connection between electron dephasing and persistent currents in mesoscopic rings.

Main Methods:

  • Theoretical analysis of AC noise effects in disordered conductors.
  • Ensemble averaging over small rings to determine the DC current.
  • Connecting dephasing rate in long wires with DC current in mesoscopic rings.

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Main Results:

  • A simple relationship, τ(φ) = C(β)e, was found to connect the dephasing rate (τ⁻¹(φ)) and the ensemble-averaged DC current ().
  • The constant C(β) depends on the Dyson symmetry class and is approximately 1.
  • The theoretical relationship shows good agreement with experimental observations.

Conclusions:

  • The study reveals a fundamental connection between electron dephasing and DC current generation in disordered conductors.
  • This finding suggests a unified explanation for the persistent current anomaly and low-temperature dephasing saturation.
  • The established relationship provides a new avenue for understanding quantum transport phenomena in mesoscopic systems.