DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Efficient ab initio calculations of electron-defect scattering and defect-limited carrier mobility

Abstract

Electron-defect ($$e - \mathrm{d}$$) interactions govern charge carrier dynamics at low temperature, where they limit the carrier mobility and give rise to phenomena of broad relevance in condensed matter physics. Ab initio calculations of $$e - \mathrm{d}$$ interactions are still in their infancy, mainly because they require large supercells and computationally expensive workflows. Here we develop an efficient ab initio approach for computing elastic $$e - \mathrm{d}$$ interactions, their associated $$e - \mathrm{d}$$ relaxation times (RTs), and the low-temperature defect-limited carrier mobility. The method is applied to silicon with simple neutral defects, such as vacancies and interstitials. Contrary to conventional wisdom, the computed $$e - \mathrm{d}$$ RTs depend strongly on carrier energy and defect type, and the defect-limited mobility is temperature dependent. These results highlight the shortcomings of widely employed heuristic models of $$e - \mathrm{d}$$ interactions in materials. Finally, our method opens avenues for studying $$e - \mathrm{d}$$ scattering and low-temperature charge transport from first principles.

Authors:
 [1];  [1];  [1]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Dept. of Applied Physics and Materials Science
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE
OSTI Identifier:
1529975
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Materials
Additional Journal Information:
Journal Volume: 3; Journal Issue: 3; Journal ID: ISSN 2475-9953
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Lu, I-Te, Zhou, Jin-Jian, and Bernardi, Marco. Efficient ab initio calculations of electron-defect scattering and defect-limited carrier mobility. United States: N. p., 2019. Web. doi:10.1103/PhysRevMaterials.3.033804.
Lu, I-Te, Zhou, Jin-Jian, & Bernardi, Marco. Efficient ab initio calculations of electron-defect scattering and defect-limited carrier mobility. United States. https://doi.org/10.1103/PhysRevMaterials.3.033804
Lu, I-Te, Zhou, Jin-Jian, and Bernardi, Marco. Thu . "Efficient ab initio calculations of electron-defect scattering and defect-limited carrier mobility". United States. https://doi.org/10.1103/PhysRevMaterials.3.033804. https://www.osti.gov/servlets/purl/1529975.
@article{osti_1529975,
title = {Efficient ab initio calculations of electron-defect scattering and defect-limited carrier mobility},
author = {Lu, I-Te and Zhou, Jin-Jian and Bernardi, Marco},
abstractNote = {Electron-defect ($e - \mathrm{d}$) interactions govern charge carrier dynamics at low temperature, where they limit the carrier mobility and give rise to phenomena of broad relevance in condensed matter physics. Ab initio calculations of $e - \mathrm{d}$ interactions are still in their infancy, mainly because they require large supercells and computationally expensive workflows. Here we develop an efficient ab initio approach for computing elastic $e - \mathrm{d}$ interactions, their associated $e - \mathrm{d}$ relaxation times (RTs), and the low-temperature defect-limited carrier mobility. The method is applied to silicon with simple neutral defects, such as vacancies and interstitials. Contrary to conventional wisdom, the computed $e - \mathrm{d}$ RTs depend strongly on carrier energy and defect type, and the defect-limited mobility is temperature dependent. These results highlight the shortcomings of widely employed heuristic models of $e - \mathrm{d}$ interactions in materials. Finally, our method opens avenues for studying $e - \mathrm{d}$ scattering and low-temperature charge transport from first principles.},
doi = {10.1103/PhysRevMaterials.3.033804},
journal = {Physical Review Materials},
number = 3,
volume = 3,
place = {United States},
year = {Thu Mar 28 00:00:00 EDT 2019},
month = {Thu Mar 28 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 26 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Manipulation of ionized impurity scattering for achieving high thermoelectric performance in n-type Mg 3 Sb 2 -based materials
journal, September 2017

  • Mao, Jun; Shuai, Jing; Song, Shaowei
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 40
  • DOI: 10.1073/pnas.1711725114

Electron–Phonon Interactions and the Intrinsic Electrical Resistivity of Graphene
journal, February 2014

  • Park, Cheol-Hwan; Bonini, Nicola; Sohier, Thibault
  • Nano Letters, Vol. 14, Issue 3
  • DOI: 10.1021/nl402696q

Theory of inelastic multiphonon scattering and carrier capture by defects in semiconductors: Application to capture cross sections
journal, December 2015

  • Barmparis, Georgios D.; Puzyrev, Yevgeniy S.; Zhang, X. -G.
  • Physical Review B, Vol. 92, Issue 21
  • DOI: 10.1103/PhysRevB.92.214111

Charge-Carrier Mobilities in Metal Halide Perovskites: Fundamental Mechanisms and Limits
journal, June 2017


An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions
journal, August 2014

  • Mostofi, Arash A.; Yates, Jonathan R.; Pizzi, Giovanni
  • Computer Physics Communications, Vol. 185, Issue 8
  • DOI: 10.1016/j.cpc.2014.05.003

Impurity and Lattice Scattering Parameters as Determined from Hall and Mobility Analysis in n -Type Silicon
journal, December 1973


QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
journal, September 2009

  • Giannozzi, Paolo; Baroni, Stefano; Bonini, Nicola
  • Journal of Physics: Condensed Matter, Vol. 21, Issue 39, Article No. 395502
  • DOI: 10.1088/0953-8984/21/39/395502

First-principles dynamics of electrons and phonons*
journal, November 2016


Maximally localized generalized Wannier functions for composite energy bands
journal, November 1997


Electronic transport in polycrystalline graphene
journal, August 2010

  • Yazyev, Oleg V.; Louie, Steven G.
  • Nature Materials, Vol. 9, Issue 10, p. 806-809
  • DOI: 10.1038/nmat2830

Spectral and Fermi surface properties from Wannier interpolation
journal, May 2007


Disorder enabled band structure engineering of a topological insulator surface
journal, February 2017

  • Xu, Yishuai; Chiu, Janet; Miao, Lin
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms14081

Efficacious Form for Model Pseudopotentials
journal, May 1982


Ultrafast Hot Carrier Dynamics in GaN and Its Impact on the Efficiency Droop
journal, July 2017


First-Principles Mobility Calculations and Atomic-Scale Interface Roughness in Nanoscale Structures
journal, September 2005


Assessment of correction methods for the band-gap problem and for finite-size effects in supercell defect calculations: Case studies for ZnO and GaAs
journal, December 2008


Mobility engineering and a metal–insulator transition in monolayer MoS2
journal, June 2013

  • Radisavljevic, Branimir; Kis, Andras
  • Nature Materials, Vol. 12, Issue 9
  • DOI: 10.1038/nmat3687

Electronic Structure
book, January 2004


First-principles calculations of electron mobilities in silicon: Phonon and Coulomb scattering
journal, May 2009

  • Restrepo, O. D.; Varga, K.; Pantelides, S. T.
  • Applied Physics Letters, Vol. 94, Issue 21
  • DOI: 10.1063/1.3147189

First-principles investigation of the alloy scattering potential in dilute Si 1 x C x
journal, April 2012


Ab initio electron mobility and polar phonon scattering in GaAs
journal, November 2016


Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965


Single dopants in semiconductors
journal, January 2011

  • Koenraad, Paul M.; Flatté, Michael E.
  • Nature Materials, Vol. 10, Issue 2
  • DOI: 10.1038/nmat2940

Magnetoresistance and Hall effect in a disordered two-dimensional electron gas
journal, December 1980


Large Seebeck effect by charge-mobility engineering
journal, June 2015

  • Sun, Peijie; Wei, Beipei; Zhang, Jiahao
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8475

Weak localization in thin films
journal, May 1984


Universal Conductance Fluctuations in Metals
journal, October 1985


Electron drift velocity in silicon
journal, September 1975


Neutral Impurity Scattering in Semiconductors
journal, December 1956


Special points for Brillouin-zone integrations
journal, June 1976

  • Monkhorst, Hendrik J.; Pack, James D.
  • Physical Review B, Vol. 13, Issue 12, p. 5188-5192
  • DOI: 10.1103/PhysRevB.13.5188

Electron-Phonon Scattering in the Presence of Soft Modes and Electron Mobility in SrTiO 3 Perovskite from First Principles
journal, November 2018


Electronics and optoelectronics of two-dimensional transition metal dichalcogenides
journal, November 2012

  • Wang, Qing Hua; Kalantar-Zadeh, Kourosh; Kis, Andras
  • Nature Nanotechnology, Vol. 7, Issue 11, p. 699-712
  • DOI: 10.1038/nnano.2012.193

Cluster scattering effects on phonon conduction in graphene
journal, January 2010


Ab Initio Study of Hot Carriers in the First Picosecond after Sunlight Absorption in Silicon
journal, June 2014


Electron scattering by ionized impurities in semiconductors
journal, October 1981


Exceptionally Strong Phonon Scattering by B Substitution in Cubic SiC
journal, August 2017


Theory and computation of hot carriers generated by surface plasmon polaritons in noble metals
journal, June 2015

  • Bernardi, Marco; Mustafa, Jamal; Neaton, Jeffrey B.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8044

Neutral impurity scattering in mercury-doped germanium
journal, July 1980


Electrostatics-based finite-size corrections for first-principles point defect calculations
journal, May 2014


Charge transport and mobility engineering in two-dimensional transition metal chalcogenide semiconductors
journal, January 2016

  • Li, Song-Lin; Tsukagoshi, Kazuhito; Orgiu, Emanuele
  • Chemical Society Reviews, Vol. 45, Issue 1
  • DOI: 10.1039/C5CS00517E

Ab initio electron-phonon interactions using atomic orbital wave functions
journal, June 2018


Charge carrier scattering by defects in semiconductors
journal, June 2010


Many-Particle Physics
book, January 2000


Ab initio electronic relaxation times and transport in noble metals
journal, October 2016


Ab initio study of hot electrons in GaAs
journal, April 2015

  • Bernardi, Marco; Vigil-Fowler, Derek; Ong, Chin Shen
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 17
  • DOI: 10.1073/pnas.1419446112

Neutral Impurity Scattering in Semiconductors
journal, September 1950


Neutral impurity scattering in semiconductors
journal, July 1996


Many-Particle Physics
journal, March 1982


Single dopants in semiconductors
journal, March 2015


Green’s Functions in Quantum Physics
book, January 2006


Electronic Structure
book, September 2020


Electronic transport in polycrystalline graphene
text, January 2010


Mobility engineering and metal-insulator transition in monolayer MoS2
text, January 2013


Large Seebeck Effect by Charge-Mobility Engineering
text, January 2015


Exceptionally strong phonon scattering by B substitution in cubic SiC
text, January 2017


Ab Initio Electron-Phonon Interactions Using Atomic Orbital Wavefunctions
text, January 2018


Spectral and Fermi surface properties from Wannier interpolation
text, January 2007


Works referencing / citing this record:

Resolving different scattering effects on the thermal and electrical transport in doped SnSe
journal, July 2019

  • Li, Shouhang; Tong, Zhen; Bao, Hua
  • Journal of Applied Physics, Vol. 126, Issue 2
  • DOI: 10.1063/1.5098340

First-principles calculations of charge carrier mobility and conductivity in bulk semiconductors and two-dimensional materials
journal, February 2020

  • Poncé, Samuel; Li, Wenbin; Reichardt, Sven
  • Reports on Progress in Physics, Vol. 83, Issue 3
  • DOI: 10.1088/1361-6633/ab6a43

Signatures of adatom effects in the quasiparticle spectrum of Li-doped graphene
journal, December 2019