Hot electron relaxation in metals within the Götze-Wölfle memory function formalism

Abstract

We consider non-equilibrium relaxation of electrons due to their coupling with phonons in a simple metal. In our model electrons are living at a higher temperature than that of the phonon bath, mimicking a non-equilibrium steady state situation. We study the relaxation of such hot electrons proposing a suitable generalization of the memory function formalism formulated by Götze and Wölfle[Phys. Rev. B 6, 1226 (1972)]. We derive analytical expressions for both dc and optical scattering rates in various temperature and frequency regimes. Limiting cases are in accord with the previous studies. An interesting feature, that the dc scattering rate at high temperatures and optical scattering rate at high frequencies, are independent of the temperature difference between the electrons and the phonons is found in this study. The present formalism forms a basis which can also be extended to study hot-electron relaxation in more complex situations

11 pages, 4 figures, 1 table, Revised Version

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Cited by in corpus (6)

• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Theory of the Dynamical Thermal conductivity of Metals
• Memory Function Approach to Correlated Electron Transport: A Comprehensive Review
• Non-equilibrium electron relaxation in Graphene
• A comparative study of finite frequency scattering rate from Allen, Mitrović-Fiorucci, Shulga-Dolgov-Maksimov, Sharapov-Carbotte and Götze-Wölfle Memory Function formalisms
• Finite frequency Seebeck coefficient of metals: A memory function approach