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Related Experiment Videos

Electromechanical noise in a diffusive conductor.

A V Shytov1, L S Levitov, C W J Beenakker

  • 1Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA.

Physical Review Letters
|June 13, 2002
PubMed
Summary
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Electrons in conductors transfer momentum to the lattice, creating fluctuating stress. This momentum transfer is reduced in disordered metals, potentially detectable in nanomechanical oscillators.

Area of Science:

  • Condensed matter physics
  • Solid-state physics
  • Nanomechanics

Background:

  • Electrons in conductors interact with the lattice through scattering events with impurities and boundaries.
  • These interactions lead to momentum transfer, generating fluctuating mechanical stress within the material.
  • Understanding these phenomena is crucial for developing advanced electronic and mechanical devices.

Purpose of the Study:

  • To quantify the momentum transfer from electrons to the lattice in disordered metals.
  • To investigate the impact of material dimensions and electron scattering on momentum transfer.
  • To assess the feasibility of detecting these effects in nanomechanical systems.

Main Methods:

  • Theoretical analysis of electron-lattice momentum transfer in disordered conductors.

Related Experiment Videos

  • Derivation of momentum transfer reduction factors for shear and pressure fluctuations.
  • Estimation of the excitation of elastic bending modes in nanomechanical oscillators.
  • Main Results:

    • Momentum transfer per scattering event is reduced by factors of order l/L for shear and (xi/L)^2 for pressure fluctuations in disordered metals (L >> l, xi).
    • The root-mean-squared momentum transfer is significantly lower than the Fermi momentum.
    • Shear fluctuations can excite elastic bending modes in nanomechanical oscillators.

    Conclusions:

    • Electron-lattice momentum transfer in disordered metals exhibits reduced fluctuations compared to simpler models.
    • The calculated reduction factors provide a quantitative understanding of these effects.
    • The predicted excitation of nanomechanical oscillators is within the range of current experimental capabilities, opening avenues for future research.