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This paper describes a simple and general method for deriving the inelastic collision term in the electron Boltzmann equation for scattering from a coupled electron-phonon system, and applies the method to the case of doped polar…

Condensed Matter · Physics 2016-08-31 B. A. Sanborn

The theory of Raman scattering by the electron--phonon coupled system in metals and heavily doped semiconductors is developed taking into account the Coulomb screening and the electron--phonon deformation interaction. The Boltzmann equation…

Materials Science · Physics 2009-11-10 L. Falkovsky

The inelastic light scattering in a 2-d electron gas is studied theoretically using the Boltzmann equation techniques. Electron-hole excitations produce the Raman spectrum essentially different from the one predicted for the 3-d case. In…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko

This paper investigates the mobility of electrons scattering from the coupled system of electrons and longitudinal optical (LO) phonons in n-type GaAs. The Boltzmann equation is solved exactly for low electric fields by an iterative method,…

Condensed Matter · Physics 2016-08-31 B. A. Sanborn

We study the interplay between long-range electron-phonon and electron-electron interactions in electrostatically doped two-dimensional semiconductors, including interlayer couplings in van der Waals heterostructures. We evaluate the…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Francesco Macheda , Thibault Sohier

The present work is motivated by the development of a fast DG based deterministic solver for the extension of the BTE to a system of transport Boltzmann equations for full electronic multi-band transport with intra-band scattering…

Numerical Analysis · Mathematics 2014-11-26 Irene M. Gamba , Armando Majorana , Jose A. Morales , Chi-Wang Shu

We explore the inelastic electron scattering in SrTiO3, PbTiO3, and SiC in their phonon energy range, challenging the assumption that phonon polaritons are excluded at large angles in high-resolution transmission electron energy-loss…

We present a rigorous solution of the Boltzmann equation for the electron-phonon scattering problem in three spatial dimensions in the limit of low temperatures. The different temperature scaling of the various scattering rates turns the…

Mathematical Physics · Physics 2021-03-17 J. Amarel , D. Belitz , T. R. Kirkpatrick

The Hall scattering factor is formulated using Rode's iterative approach to solving the Boltzmann transport equation in such a way that it may be easily computed within the scope of ab-inito calculations. Using this method in conjunction…

We present a combined treatment of the non-equilibrium dynamics and transport of electrons and phonons by carrying out \textit{ab initio} calculations of the fully coupled electron and phonon Boltzmann transport equations. We find that the…

Materials Science · Physics 2020-12-30 Nakib H. Protik , Boris Kozinsky

We study uncertainty quantification for a Boltzmann-Poisson system that models electron transport in semiconductors and the physical collision mechanisms over the charges. We use the stochastic Galerkin method in order to handle the…

Numerical Analysis · Mathematics 2021-07-20 Jose A. Morales Escalante , Clemens Heitzinger

We report on the novel mechanism of electron scattering in hybrid Bose-Fermi systems consisting of a two-dimensional electron gas in the vicinity of an exciton condensate: We show that a pair-of-bogolons--mediated scattering proves to be…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Kristian Hauser A. Villegas , Meng Sun , Vadim M. Kovalev , Ivan G. Savenko

We study the electron and phonon spectral functions as well as superconductivity for a two dimensional electron gas couped to dipolar phonons via small-momentum transfer scattering. The results reported here are obtained through…

Strongly Correlated Electrons · Physics 2019-12-11 Zi-Xiang Li , T. P. Devereaux , Dung-Hai Lee

Electron-phonon scatterings in solid-state systems are pivotal processes in determining many key physical quantities such as charge carrier mobilities and thermal conductivities. Here, we report on the direct probing of phonon mode specific…

Mesoscale and Nanoscale Physics · Physics 2022-03-24 Duk Hyun Lee , Sang-Jun Choi , Hakseong Kim , Yong-Sung Kim , Suyong Jung

We present systematic theoretical results on thermoelectric effects in semimetals based on the variational method of the linearized Boltzmann equation. Inelastic electron-hole scattering is known to play an important role in the unusual…

Strongly Correlated Electrons · Physics 2023-03-31 Keigo Takahashi , Hiroyasu Matsuura , Hideaki Maebashi , Masao Ogata

Electron-phonon interaction and phonon frequencies of doped polar semiconductors are sensitive to long-range Coulomb forces and can be strongly affected by screening effects of free carriers, the latter changing significantly when…

Materials Science · Physics 2025-06-10 Francesco Macheda , Thibault Sohier , Paolo Barone , Francesco Mauri

We describe a method for numerically incorporating electron--electron scattering in quantum wells for small deviations of the distribution function from equilibrium, within the framework of the Boltzmann equation. For a given temperature…

Condensed Matter · Physics 2009-10-28 Ben Yu-Kuang Hu , Karsten Flensberg

We study the thermoelectric effect of two-dimensional metals on a square lattice within semiclassical Boltzmann transport theory with particular focus on electron-electron scattering. We compute the electrical conductivity and the Seebeck…

Strongly Correlated Electrons · Physics 2013-09-17 Jonathan M. Buhmann , Manfred Sigrist

The transport of excess electrons in liquid argon driven out of equilibrium by an applied electric field is revisited using a multi-term solution of Boltzmann's equation together with ab initio liquid phase cross-sections calculated using…

Chemical Physics · Physics 2015-05-04 G. J. Boyle , R. P. McEachran , D. G. Cocks , R. D. White

We calculate the inelastic scattering rates and the hot electron inelastic mean free paths for both monolayer and bilayer graphene on a polar substrate. We study the quasiparticle self-energy by taking into account both electron-electron…

Mesoscale and Nanoscale Physics · Physics 2015-01-05 Seongjin Ahn , E. H. Hwang , Hongki Min
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