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We present a general coupled electron-phonon Boltzmann transport equations (BTEs) scheme designed to capture the mutual drag of the two interacting systems. By combining density functional theory based first principles calculations of…

Materials Science · Physics 2020-02-19 Nakib H. Protik , David A. Broido

Over the last two decades a plethora of new thermoelectric materials, their alloys, and their nanostructures were synthesized. The ZT figure of merit, which quantifies the thermoelectric efficiency of these materials increased from values…

Materials Science · Physics 2023-07-27 Neophytos Neophytou , Pankaj Priyadarshi , Zhen Li , Patrizio Graziosi

One of the fundamental properties of semiconductors is their ability to support highly tunable electric currents in the presence of electric fields or carrier concentration gradients. These properties are described by transport coefficients…

Materials Science · Physics 2020-02-19 Samuel Poncé , Wenbin Li , Sven Reichardt , Feliciano Giustino

We have combined the Boltzmann transport equation with an {\it ab initio} approach to compute the thermoelectric coefficients of semiconductors. Electron-phonon, ionized impurity, and electron-plasmon scattering rates have been taken into…

Materials Science · Physics 2018-10-26 Z. Wang , S. Wang , S. Obukhov , N. Vast , J. Sjakste , V. Tyuterev , N. Mingo

Carrier mobility in bulk semiconductors is typically governed by electron-phonon (e-ph) scattering. In nanostructures, spatial confinement can lead to significant surface scattering, lowering mobility and breaking the spatial homogeneity…

Materials Science · Physics 2025-12-25 Zirui He , Shang-Peng Gao , Meng Chen

In this paper the Boltzmann equation describing the carrier transport in a semiconductor is considered. A modified Chapman-Enskog method is used, in order to find approximate solutions in the weakly non-homogeneous case. These solutions…

Statistical Mechanics · Physics 2007-05-23 S. F. Liotta , A. Majorana

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

We probe the accuracy limit of {\it ab initio} calculations of carrier mobilities in semiconductors, within the framework of the Boltzmann transport equation. By focusing on the paradigmatic case of silicon, we show that fully predictive…

Materials Science · Physics 2018-03-28 Samuel Ponce , Elena R. Margine , Feliciano Giustino

This paper introduces ElecTra, an open-source code which solves the linearized Boltzmann transport equation in the relaxation time approximation for charge carriers in a full-band electronic structure of arbitrary complexity, including…

Materials Science · Physics 2023-08-24 Patrizio Graziosi , Zhen Li , Neophytos Neophytou

Electron dynamics in external electric fields governs the behavior of solid-state electronic devices. First-principles calculations enable precise predictions of charge transport in low electric fields. However, studies of high-field…

Materials Science · Physics 2021-09-29 Ivan Maliyov , Jinsoo Park , Marco Bernardi

Electrical transport in semiconductor superlattices is studied within a fully self-consistent quantum transport model based on nonequilibrium Green functions, including phonon and impurity scattering. We compute both the drift…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Wacker , A. -P. Jauho , S. Rott , A. Markus , P. Binder , G. H. D"ohler

Bi$_2$O$_2$Se is an emerging high-performance layered semiconductor with excellent stability. While experimental studies have explored carrier transport across various doping levels for both $n$-type and $p$-type conduction, a comprehensive…

Materials Science · Physics 2026-01-15 Yubo Yuan , Ziye Zhu , Jiaming Hu , Wenbin Li

We demonstrate a first-principles method to study magnetotransport in materials by solving the Boltzmann transport equation (BTE) in the presence of an external magnetic field. Our approach employs ab initio electron-phonon interactions and…

Materials Science · Physics 2021-04-14 Dhruv C. Desai , Bahdan Zviazhynski , Jin-Jian Zhou , Marco Bernardi

We study heat transport in semiconductor nanostructures by solving the Boltzmann Transport Equation (BTE) by means of the Discrete Ordinate Method (DOM). Relaxation time and phase and group velocitiy spectral dependencies are taken into…

Classical Physics · Physics 2009-11-13 Damian Terris , Karl Joulain , David Lacroix , Denis Lemonnier

The paper considers a coupled system of linear Boltzmann transport equations (BTE), and its Continuous Slowing Down Approximation (CSDA). This system can be used to model the relevant transport of particles used e.g. in dose calculation in…

Optimization and Control · Mathematics 2018-04-06 J. Tervo , P. Kokkonen , M. Frank , M. Herty

Electric, thermal and thermoelectric transport in correlated electron systems probe different aspects of the many-body dynamics, and thus provide complementary information. These are well studied in the low- and high-temperature limits,…

Strongly Correlated Electrons · Physics 2020-02-19 Woo-Ram Lee , Alexander M. Finkel'stein , Karen Michaeli , Georg Schwiete

Developing simplified, but accurate, theoretical approaches to treat heat transport on all length and time scales is needed to further enable scientific insight and technology innovation. Using a simplified form of the Boltzmann transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Jesse Maassen , Mark Lundstrom

We perform first-principles electron-phonon interaction (EPI) calculations based on many-body perturbation theory to study the temperature-dependent band-gap and charge-carrier transport properties for Mg$_{2}$Si and Ca$_{2}$Si using the…

Materials Science · Physics 2026-04-07 Vinod Kumar Solet , Sudhir K. Pandey

Linking the fundamental physics of band structure and scattering theory with macroscopic features such as measurable bulk thermoelectric transport properties is indispensable to a thorough understanding of transport phenomena and ensures…

Data Analysis, Statistics and Probability · Physics 2025-01-15 Michael Parzer , Alexander Riss , Fabian Garmroudi , Johannes de Boor , Takao Mori , Ernst Bauer

We devise a methodology for charge, heat, and entropy transport driven by carriers with finite lifetimes. Combining numerical simulations with analytical expressions for low temperatures, we establish a comprehensive and thermodynamically…

Strongly Correlated Electrons · Physics 2022-03-14 Matthias Pickem , Emanuele Maggio , Jan M. Tomczak
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