Influence of the Effective Mass on ab initio Phonon-limited Electron Mobility of GaAs

Fuente: arXiv
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Autori principali: Dehghani, Mohammad, Waldhoer, Dominic, Gentles, Angus, Khakbaz, Pedram, Minixhofer, Rainer, Waltl, Michael
Natura: Preprint
Pubblicazione: 2025
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author Dehghani, Mohammad
Waldhoer, Dominic
Gentles, Angus
Khakbaz, Pedram
Minixhofer, Rainer
Waltl, Michael
author_facet Dehghani, Mohammad
Waldhoer, Dominic
Gentles, Angus
Khakbaz, Pedram
Minixhofer, Rainer
Waltl, Michael
contents We present a comprehensive ab initio study of the influence of band structure corrections, particularly the electron effective mass, on the phonon-limited electron drift and Hall mobilities of GaAs. Our approach is based on the DFT+$U$ method, combined with an iterative solution of the linearized Boltzmann transport equation using the Wannier interpolation technique. We show how this framework allows for accurate refinements of the electronic band structure and phonon dispersion, leading to improved predictions for transport properties. In particular, by varying the Hubbard parameters to purposefully tune the conduction band features, allowing us to reproduce bands with different electron effective mass, we systematically investigate the relationship between mobility and effective mass. In this context, our results show close agreement with semi-empirical relations that follow a power-law dependence. Moreover, this approach can be used to indirectly incorporate temperature effects into the band structure, enabling efficient evaluation of temperature-dependent electron mobilities. Our mobility results exhibit good agreement with experimental data and are comparable to previously reported values obtained using the computationally expensive GW method.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16977
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Influence of the Effective Mass on ab initio Phonon-limited Electron Mobility of GaAs
Dehghani, Mohammad
Waldhoer, Dominic
Gentles, Angus
Khakbaz, Pedram
Minixhofer, Rainer
Waltl, Michael
Materials Science
We present a comprehensive ab initio study of the influence of band structure corrections, particularly the electron effective mass, on the phonon-limited electron drift and Hall mobilities of GaAs. Our approach is based on the DFT+$U$ method, combined with an iterative solution of the linearized Boltzmann transport equation using the Wannier interpolation technique. We show how this framework allows for accurate refinements of the electronic band structure and phonon dispersion, leading to improved predictions for transport properties. In particular, by varying the Hubbard parameters to purposefully tune the conduction band features, allowing us to reproduce bands with different electron effective mass, we systematically investigate the relationship between mobility and effective mass. In this context, our results show close agreement with semi-empirical relations that follow a power-law dependence. Moreover, this approach can be used to indirectly incorporate temperature effects into the band structure, enabling efficient evaluation of temperature-dependent electron mobilities. Our mobility results exhibit good agreement with experimental data and are comparable to previously reported values obtained using the computationally expensive GW method.
title Influence of the Effective Mass on ab initio Phonon-limited Electron Mobility of GaAs
topic Materials Science
url https://arxiv.org/abs/2506.16977