Theory of Thermal Relaxation of Electrons in Semiconductors

Abstract

We compute the transient dynamics of phonons in contact with high energy "hot" charge carriers in 12 polar and non-polar semiconductors, using a first-principles Boltzmann transport framework. For most materials, we find that the decay in electronic temperature departs significantly from a single-exponential model at times ranging from 1 ps to 15 ps after electronic excitation, a phenomenon concomitant with the appearance of non-thermal vibrational modes. We demonstrate that these effects result from the slow thermalization within the phonon subsystem, caused by the large heterogeneity in the timescales of electron-phonon and phonon-phonon interactions in these materials. We propose a generalized 2-temperature model accounting for the phonon thermalization as a limiting step of electron-phonon thermalization, which captures the full thermal relaxation of hot electrons and holes in semiconductors. A direct consequence of our findings is that, for semiconductors, information about the spectral distribution of electron-phonon and phonon-phonon coupling can be extracted from the multi-exponential behavior of the electronic temperature.

References in corpus (10)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Distribution of phonon lifetime in Brillouin zone
• Significant reduction of lattice thermal conductivity by electron-phonon interaction in silicon with high carrier concentrations: a first-principles study
• Phonon-assisted optical absorption in silicon from first principles
• Electron-Phonon Interactions and the Intrinsic Electrical Resistivity of Graphene
• Gallium Arsenide Thermal Conductivity and Optical Phonon Relaxation Times from First-Principles Calculations
• Optical generation and detection of local non-equilibrium phonons in suspended graphene
• Temperature effects in the band structure of topological insulators
• Temperature-induced topological phase transitions: promoted vs. suppressed non-trivial topology
• Novel Electron-Phonon Relaxation Pathway in Graphite Revealed by Time-Resolved Raman Scattering and Angle-Resolved Photoemission Spectroscopy

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