Facile ab initio approach for self-localized polarons from canonical transformations
Abstract
Electronic states in a crystal can localize due to strong electron-phonon (e-ph) interactions, forming so-called small polarons. Methods to predict the formation and energetics of small polarons are either computationally costly or not geared toward quantitative predictions. Here we show a formalism based on canonical transformations to compute the polaron formation energy and wave function using ab initio e-ph interactions. Comparison of the calculated polaron and band-edge energies allows us to determine whether charge carriers in a material favor a localized small polaron over a delocalized Bloch state. Due to its low computational cost, our approach enables efficient studies of the formation and energetics of small polarons, as we demonstrate by investigating electron and hole polaron formation in alkali halides and metal oxides and peroxides. We outline refinements of our scheme and extensions to compute transport in the polaron hopping regime.
- Authors:
-
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Oakland, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1850882
- Grant/Contract Number:
- SC0004993; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Materials
- Additional Journal Information:
- Journal Volume: 5; Journal Issue: 6; Journal ID: ISSN 2475-9953
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Materials Science; Electron-phonon coupling; Polarons; Insulators; Semiconductor compounds; Density functional calculations; First-principles calculations
Citation Formats
Lee, Nien-En, Chen, Hsiao-Yi, Zhou, Jin-Jian, and Bernardi, Marco. Facile ab initio approach for self-localized polarons from canonical transformations. United States: N. p., 2021.
Web. doi:10.1103/physrevmaterials.5.063805.
Lee, Nien-En, Chen, Hsiao-Yi, Zhou, Jin-Jian, & Bernardi, Marco. Facile ab initio approach for self-localized polarons from canonical transformations. United States. https://doi.org/10.1103/physrevmaterials.5.063805
Lee, Nien-En, Chen, Hsiao-Yi, Zhou, Jin-Jian, and Bernardi, Marco. Thu .
"Facile ab initio approach for self-localized polarons from canonical transformations". United States. https://doi.org/10.1103/physrevmaterials.5.063805. https://www.osti.gov/servlets/purl/1850882.
@article{osti_1850882,
title = {Facile ab initio approach for self-localized polarons from canonical transformations},
author = {Lee, Nien-En and Chen, Hsiao-Yi and Zhou, Jin-Jian and Bernardi, Marco},
abstractNote = {Electronic states in a crystal can localize due to strong electron-phonon (e-ph) interactions, forming so-called small polarons. Methods to predict the formation and energetics of small polarons are either computationally costly or not geared toward quantitative predictions. Here we show a formalism based on canonical transformations to compute the polaron formation energy and wave function using ab initio e-ph interactions. Comparison of the calculated polaron and band-edge energies allows us to determine whether charge carriers in a material favor a localized small polaron over a delocalized Bloch state. Due to its low computational cost, our approach enables efficient studies of the formation and energetics of small polarons, as we demonstrate by investigating electron and hole polaron formation in alkali halides and metal oxides and peroxides. We outline refinements of our scheme and extensions to compute transport in the polaron hopping regime.},
doi = {10.1103/physrevmaterials.5.063805},
journal = {Physical Review Materials},
number = 6,
volume = 5,
place = {United States},
year = {Thu Jun 24 00:00:00 EDT 2021},
month = {Thu Jun 24 00:00:00 EDT 2021}
}
Works referenced in this record:
Semiconducting transition metal oxides
journal, June 2015
- Lany, Stephan
- Journal of Physics: Condensed Matter, Vol. 27, Issue 28
Generalized Gradient Approximation Made Simple
journal, October 1996
- Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
- Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
Ab initio insight into the formation of small polarons: A study across four metal peroxides
journal, November 2019
- Yuan, Shuaishuai; Wang, Zi; Baron, Maximilian L. F.
- Physical Review B, Vol. 100, Issue 20
Maximally localized Wannier functions: Theory and applications
journal, October 2012
- Marzari, Nicola; Mostofi, Arash A.; Yates, Jonathan R.
- Reviews of Modern Physics, Vol. 84, Issue 4
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
Energy Spectrum of an Electron in a Periodic Deformable Lattice
journal, March 1972
- Emin, David
- Physical Review Letters, Vol. 28, Issue 10
Strong energy–momentum dispersion of phonon-dressed carriers in the lightly doped band insulator SrTiO 3
journal, February 2010
- Meevasana, W.; Zhou, X. J.; Moritz, B.
- New Journal of Physics, Vol. 12, Issue 2
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
Ab initio theory of polarons: Formalism and applications
journal, June 2019
- Sio, Weng Hong; Verdi, Carla; Poncé, Samuel
- Physical Review B, Vol. 99, Issue 23
Stabilization of small polarons in by local distortions
journal, November 2019
- Tsunoda, Naoki; Kumagai, Yu; Oba, Fumiyasu
- Physical Review Materials, Vol. 3, Issue 11
Atomic insight to lattice distortions caused by carrier self-trapping in oxide materials
journal, November 2016
- Freytag, Felix; Corradi, Gábor; Imlau, Mirco
- Scientific Reports, Vol. 6, Issue 1
Implications of the formation of small polarons in Li O for Li-air batteries
journal, January 2012
- Kang, Joongoo; Jung, Yoon Seok; Wei, Su-Huai
- Physical Review B, Vol. 85, Issue 3
Drift mobility measurements of small-polaron transport in SrTiO 3
journal, February 1984
- Keroack, D.; Lepine, Y.; Brebner, J. L.
- Journal of Physics C: Solid State Physics, Vol. 17, Issue 5
Observation of the Band-Hopping Transition for Electrons in Naphthalene
journal, January 1978
- Schein, L. B.; Duke, C. B.; McGhie, A. R.
- Physical Review Letters, Vol. 40, Issue 3
Ab initio electron-two-phonon scattering in GaAs from next-to-leading order perturbation theory
journal, March 2020
- Lee, Nien-En; Zhou, Jin-Jian; Chen, Hsiao-Yi
- Nature Communications, Vol. 11, Issue 1
First-principles study of electron-phonon interactions and transport in anatase
journal, September 2019
- Kang, Youngho; Peelaers, Hartwin; Van de Walle, Chris G.
- Physical Review B, Vol. 100, Issue 12
First-principles supercell calculations of small polarons with proper account for long-range polarization effects
journal, March 2018
- Kokott, Sebastian; Levchenko, Sergey V.; Rinke, Patrick
- New Journal of Physics, Vol. 20, Issue 3
In situ observation of picosecond polaron self-localisation in α-Fe2O3 photoelectrochemical cells
journal, September 2019
- Pastor, Ernest; Park, Ji-Sang; Steier, Ludmilla
- Nature Communications, Vol. 10, Issue 1
Evidence for photogenerated intermediate hole polarons in ZnO
journal, April 2015
- Sezen, Hikmet; Shang, Honghui; Bebensee, Fabian
- Nature Communications, Vol. 6, Issue 1
Perturbo: A software package for ab initio electron–phonon interactions, charge transport and ultrafast dynamics
journal, July 2021
- Zhou, Jin-Jian; Park, Jinsoo; Lu, I-Te
- Computer Physics Communications, Vol. 264
Ab initio electron mobility and polar phonon scattering in GaAs
journal, November 2016
- Zhou, Jin-Jian; Bernardi, Marco
- Physical Review B, Vol. 94, Issue 20
Charge transport in organic molecular semiconductors from first principles: The bandlike hole mobility in a naphthalene crystal
journal, March 2018
- Lee, Nien-En; Zhou, Jin-Jian; Agapito, Luis A.
- Physical Review B, Vol. 97, Issue 11
Efficient pseudopotentials for plane-wave calculations
journal, January 1991
- Troullier, N.; Martins, José Luriaas
- Physical Review B, Vol. 43, Issue 3
The roots of polaron theory
journal, April 2015
- Dykman, Mark I.; Rashba, Emmanuel I.
- Physics Today, Vol. 68, Issue 4
The PseudoDojo: Training and grading a 85 element optimized norm-conserving pseudopotential table
journal, May 2018
- van Setten, M. J.; Giantomassi, M.; Bousquet, E.
- Computer Physics Communications, Vol. 226
Phonons and related crystal properties from density-functional perturbation theory
journal, July 2001
- Baroni, Stefano; de Gironcoli, Stefano; Dal Corso, Andrea
- Reviews of Modern Physics, Vol. 73, Issue 2
An Experimental Search for Self-Trapped Electrons in the Alkali Halides
journal, May 1952
- Duerig, William H.
- Physical Review, Vol. 86, Issue 4
Trap States in Lead Iodide Perovskites
journal, January 2015
- Wu, Xiaoxi; Trinh, M. Tuan; Niesner, Daniel
- Journal of the American Chemical Society, Vol. 137, Issue 5
Hopping conductivity in ordered and disordered solids (II)
journal, December 1976
- Böttger, H.; Bryksin, V. V.
- physica status solidi (b), Vol. 78, Issue 2
Polaron self-localization in white-light emitting hybrid perovskites
journal, January 2017
- Cortecchia, Daniele; Yin, Jun; Bruno, Annalisa
- Journal of Materials Chemistry C, Vol. 5, Issue 11
Theory of polaron bandwidth narrowing in organic molecular crystals
journal, February 2004
- Hannewald, K.; Stojanović, V. M.; Schellekens, J. M. T.
- Physical Review B, Vol. 69, Issue 7
Low hole polaron migration barrier in lithium peroxide
journal, February 2012
- Ong, Shyue Ping; Mo, Yifei; Ceder, Gerbrand
- Physical Review B, Vol. 85, Issue 8
Electron-Phonon Scattering in the Presence of Soft Modes and Electron Mobility in Perovskite from First Principles
journal, November 2018
- Zhou, Jin-Jian; Hellman, Olle; Bernardi, Marco
- Physical Review Letters, Vol. 121, Issue 22
Vacancies and small polarons in
journal, August 2014
- Janotti, Anderson; Varley, Joel B.; Choi, Minseok
- Physical Review B, Vol. 90, Issue 8
The electronic structure of V-centers
journal, January 1957
- Castner, Theodore G.; Känzig, Werner
- Journal of Physics and Chemistry of Solids, Vol. 3, Issue 3-4
Piezoelectric Electron-Phonon Interaction from Ab Initio Dynamical Quadrupoles: Impact on Charge Transport in Wurtzite GaN
journal, September 2020
- Jhalani, Vatsal A.; Zhou, Jin-Jian; Park, Jinsoo
- Physical Review Letters, Vol. 125, Issue 13
Small polaron electron transport in reduced CeO2 single crystals
journal, January 1977
- Tuller, H. L.; Nowick, A. S.
- Journal of Physics and Chemistry of Solids, Vol. 38, Issue 8
Predicting charge transport in the presence of polarons: The beyond-quasiparticle regime in
journal, December 2019
- Zhou, Jin-Jian; Bernardi, Marco
- Physical Review Research, Vol. 1, Issue 3
The physics of manganites: Structure and transport
journal, August 2001
- Salamon, Myron B.; Jaime, Marcelo
- Reviews of Modern Physics, Vol. 73, Issue 3
A Unification of the Holstein Polaron and Dynamic Disorder Pictures of Charge Transport in Organic Crystals
journal, June 2020
- Fetherolf, Jonathan H.; Golež, Denis; Berkelbach, Timothy C.
- Physical Review X, Vol. 10, Issue 2
General theory of electronic transport in molecular crystals. I. Local linear electron–phonon coupling
journal, February 1980
- Silbey, R.; Munn, R. W.
- The Journal of Chemical Physics, Vol. 72, Issue 4
Direct View at Excess Electrons in Rutile and Anatase
journal, August 2014
- Setvin, Martin; Franchini, Cesare; Hao, Xianfeng
- Physical Review Letters, Vol. 113, Issue 8
Theory of electronic transport in molecular crystals. II. Zeroth order states incorporating nonlocal linear electron–phonon coupling
journal, August 1985
- Munn, R. W.; Silbey, R.
- The Journal of Chemical Physics, Vol. 83, Issue 4
Isolated oxygen vacancies in strontium titanate shine red: Optical identification of Ti3+ polarons
journal, September 2018
- Crespillo, M. L.; Graham, J. T.; Agulló-López, F.
- Applied Materials Today, Vol. 12
Polarons from First Principles, without Supercells
journal, June 2019
- Sio, Weng Hong; Verdi, Carla; Poncé, Samuel
- Physical Review Letters, Vol. 122, Issue 24
Peierls versus Holstein models for describing electron-phonon coupling in perovskites
journal, December 2020
- Yam, Yau-Chuen; Moeller, Mirko M.; Sawatzky, George A.
- Physical Review B, Vol. 102, Issue 23