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Spin-Hall conductivity in electron-phonon coupled systems.

C Grimaldi1, E Cappelluti, F Marsiglio

  • 1LPM, Ecole Polytechnique Fédérale de Lausanne, Station 17, CH-1015 Lausanne, Switzerland.

Physical Review Letters
|October 10, 2006
PubMed
Summary

Electron-phonon interactions impact spin-Hall conductivity in 2D systems. Phonons break universality in Rashba models via spin-vertex corrections, but not when these corrections are absent.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Spin-orbit coupling is crucial for spintronic devices.
  • Electron-phonon interactions can significantly alter electronic properties.
  • The spin-Hall conductivity (sigma_SH) is a key spintronic phenomenon.

Purpose of the Study:

  • To investigate the role of electron-phonon interactions on the ac spin-Hall conductivity (sigma_SH(omega)).
  • To analyze how these interactions affect universal low-frequency behavior and interband resonances.
  • To compare the effects in linear and generalized Rashba models.

Main Methods:

  • Derivation of the ac spin-Hall conductivity formula.
  • Analysis of spin-vertex corrections and self-energy contributions.
  • Theoretical modeling of two-dimensional spin-orbit coupled systems interacting with phonons.

Main Results:

  • In the linear Rashba model, electron-phonon interactions via spin-vertex corrections disrupt the universality of sigma_SH(omega) at low frequencies.
  • These interactions also cause non-trivial renormalization of interband resonances.
  • In a generalized Rashba model without spin-vertex contributions, phonons only affect the self-energy, leaving low-frequency sigma_SH(omega) unchanged.

Conclusions:

  • The impact of electron-phonon interactions on spin-Hall conductivity is model-dependent.
  • Spin-vertex corrections play a critical role in mediating the influence of phonons on sigma_SH(omega).
  • Understanding these interactions is essential for designing advanced spintronic materials and devices.