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

Title: Phonon Screening of Excitons in Semiconductors: Halide Perovskites and Beyond

Abstract

The ab initio Bethe-Salpeter equation (BSE) approach, an established method for the study of excitons in materials, is typically solved in a limit where only static screening from electrons is captured. Here, we generalize this framework to include dynamical screening from phonons at lowest order in the electron-phonon interaction. We apply this generalized BSE approach to a series of inorganic lead halide perovskites, CsPbX3, with X=Cl, Br, and I. We find that inclusion of screening from phonons significantly reduces the computed exciton binding energies of these systems. By deriving a simple expression for phonon screening effects, we reveal general trends for their importance in semiconductors and insulators, based on a hydrogenic exciton model. We demonstrate that the magnitude of the phonon screening correction in isotropic materials can be reliably predicted using four material specific parameters: the reduced effective mass, static and optical dielectric constants, and frequency of the most strongly coupled longitudinal-optical phonon mode. Finally, this framework helps to elucidate the importance of phonon screening and its relation to excitonic properties in a broad class of semiconductors.

Authors:
 [1];  [2];  [3]
  1. Univ. of Oxford (United Kingdom); Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  2. Univ. of California, Berkeley, CA (United States)
  3. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Kavli Energy NanoScience Institute, Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Engineering and Physical Sciences Research Council (EPSRC)
OSTI Identifier:
1821153
Grant/Contract Number:  
AC02-05CH11231; TG-DMR190070; V010840/1
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 127; Journal Issue: 6; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; dielectric properties; excitons; optical phonons; spin-orbit coupling; semiconductor compounds; ab initio calculations; density functional calculations

Citation Formats

Filip, Marina R., Haber, Jonah B., and Neaton, Jeffrey B. Phonon Screening of Excitons in Semiconductors: Halide Perovskites and Beyond. United States: N. p., 2021. Web. doi:10.1103/physrevlett.127.067401.
Filip, Marina R., Haber, Jonah B., & Neaton, Jeffrey B. Phonon Screening of Excitons in Semiconductors: Halide Perovskites and Beyond. United States. https://doi.org/10.1103/physrevlett.127.067401
Filip, Marina R., Haber, Jonah B., and Neaton, Jeffrey B. Thu . "Phonon Screening of Excitons in Semiconductors: Halide Perovskites and Beyond". United States. https://doi.org/10.1103/physrevlett.127.067401. https://www.osti.gov/servlets/purl/1821153.
@article{osti_1821153,
title = {Phonon Screening of Excitons in Semiconductors: Halide Perovskites and Beyond},
author = {Filip, Marina R. and Haber, Jonah B. and Neaton, Jeffrey B.},
abstractNote = {The ab initio Bethe-Salpeter equation (BSE) approach, an established method for the study of excitons in materials, is typically solved in a limit where only static screening from electrons is captured. Here, we generalize this framework to include dynamical screening from phonons at lowest order in the electron-phonon interaction. We apply this generalized BSE approach to a series of inorganic lead halide perovskites, CsPbX3, with X=Cl, Br, and I. We find that inclusion of screening from phonons significantly reduces the computed exciton binding energies of these systems. By deriving a simple expression for phonon screening effects, we reveal general trends for their importance in semiconductors and insulators, based on a hydrogenic exciton model. We demonstrate that the magnitude of the phonon screening correction in isotropic materials can be reliably predicted using four material specific parameters: the reduced effective mass, static and optical dielectric constants, and frequency of the most strongly coupled longitudinal-optical phonon mode. Finally, this framework helps to elucidate the importance of phonon screening and its relation to excitonic properties in a broad class of semiconductors.},
doi = {10.1103/physrevlett.127.067401},
journal = {Physical Review Letters},
number = 6,
volume = 127,
place = {United States},
year = {Thu Aug 05 00:00:00 EDT 2021},
month = {Thu Aug 05 00:00:00 EDT 2021}
}

Works referenced in this record:

Predictive Determination of Band Gaps of Inorganic Halide Perovskites
journal, October 2017

  • Wiktor, Julia; Rothlisberger, Ursula; Pasquarello, Alfredo
  • The Journal of Physical Chemistry Letters, Vol. 8, Issue 22
  • DOI: 10.1021/acs.jpclett.7b02648

Electrons in lattice fields
journal, July 1954


Optical properties of “pure” CdS and metal-insulator-semiconductor structures on CdS at electrical operation
journal, April 1994


The Structure of Electronic Excitation Levels in Insulating Crystals
journal, August 1937


Efficient O ( N 2 ) approach to solve the Bethe-Salpeter equation for excitonic bound states
journal, August 2008


Many-Body Effects on the Zero-Point Renormalization of the Band Structure
journal, May 2014


Coulomb-hole summations and energies for G W calculations with limited number of empty orbitals: A modified static remainder approach
journal, April 2013


Quantum Theory of the Dielectric Constant in Real Solids
journal, April 1962


How Lattice Dynamics Moderate the Electronic Properties of Metal-Halide Perovskites
journal, November 2018


Phonon-Assisted Optical Absorption in Silicon from First Principles
journal, April 2012


Electron-Phonon Renormalization of the Direct Band Gap of Diamond
journal, December 2010


Photoluminescence of highly excited AlN: Biexcitons and exciton-exciton scattering
journal, July 2009

  • Leute, R. A. R.; Feneberg, M.; Sauer, R.
  • Applied Physics Letters, Vol. 95, Issue 3
  • DOI: 10.1063/1.3186044

Influence of screening dynamics on excitons in Ga 2 O 3 polymorphs
journal, March 2019

  • Bechstedt, Friedhelm; Furthmüller, Jürgen
  • Applied Physics Letters, Vol. 114, Issue 12
  • DOI: 10.1063/1.5084324

BerkeleyGW: A massively parallel computer package for the calculation of the quasiparticle and optical properties of materials and nanostructures
journal, June 2012

  • Deslippe, Jack; Samsonidze, Georgy; Strubbe, David A.
  • Computer Physics Communications, Vol. 183, Issue 6
  • DOI: 10.1016/j.cpc.2011.12.006

Ab Initio Calculation of Excitonic Effects in the Optical Spectra of Semiconductors
journal, May 1998


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

Direct measurement of the exciton binding energy and effective masses for charge carriers in organic–inorganic tri-halide perovskites
journal, June 2015

  • Miyata, Atsuhiko; Mitioglu, Anatolie; Plochocka, Paulina
  • Nature Physics, Vol. 11, Issue 7
  • DOI: 10.1038/nphys3357

Bimolecular recombination in methylammonium lead triiodide perovskite is an inverse absorption process
journal, January 2018


Defect-Induced Modification of Low-Lying Excitons and Valley Selectivity in Monolayer Transition Metal Dichalcogenides
journal, October 2018


Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies
journal, October 1986


Ab Initio Finite-Temperature Excitons
journal, September 2008


Band parameters of CdS and CdSe single crystals determined from optical exciton spectra
journal, January 1979


Role of Polar Phonons in the Photo Excited State of Metal Halide Perovskites
journal, June 2016

  • Bokdam, Menno; Sander, Tobias; Stroppa, Alessandro
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep28618

Optimized norm-conserving Vanderbilt pseudopotentials
journal, August 2013


Optical Spectrum of MoS 2 : Many-Body Effects and Diversity of Exciton States
journal, November 2013


GW Band Structures and Carrier Effective Masses of CH 3 NH 3 PbI 3 and Hypothetical Perovskites of the Type APbI 3 : A = NH 4 , PH 4 , AsH 4 , and SbH 4
journal, October 2015

  • Filip, Marina R.; Verdi, Carla; Giustino, Feliciano
  • The Journal of Physical Chemistry C, Vol. 119, Issue 45
  • DOI: 10.1021/acs.jpcc.5b07891

Carrier Lifetimes and Polaronic Mass Enhancement in the Hybrid Halide Perovskite CH 3 NH 3 PbI 3 from Multiphonon Fröhlich Coupling
journal, August 2018


Absorption coefficient, energy gap, exciton binding energy, and recombination lifetime of GaN obtained from transmission measurements
journal, November 1997

  • Muth, J. F.; Lee, J. H.; Shmagin, I. K.
  • Applied Physics Letters, Vol. 71, Issue 18
  • DOI: 10.1063/1.120191

Fröhlich Electron-Phonon Vertex from First Principles
journal, October 2015


Cubic or Orthorhombic? Revealing the Crystal Structure of Metastable Black-Phase CsPbI 3 by Theory and Experiment
journal, June 2018


Crystal Structure and Photoconductivity of Cæsium Plumbohalides
journal, November 1958


Metal-insulator transition in Kohn-Sham theory and quasiparticle theory
journal, March 1989


Relativistic quasiparticle self-consistent electronic structure of hybrid halide perovskite photovoltaic absorbers
journal, April 2014


Enhanced interionic forces above Tc in ABX3-type superionic conductors
journal, November 2001


Cs 1– x Rb x PbCl 3 and Cs 1– x Rb x PbBr 3 Solid Solutions: Understanding Octahedral Tilting in Lead Halide Perovskites
journal, April 2017


Electron-phonon interactions from first principles
journal, February 2017


Band structure and fundamental optical transitions in wurtzite AlN
journal, December 2003

  • Li, J.; Nam, K. B.; Nakarmi, M. L.
  • Applied Physics Letters, Vol. 83, Issue 25
  • DOI: 10.1063/1.1633965

Towards predictive band gaps for halide perovskites: Lessons from one-shot and eigenvalue self-consistent G W
journal, October 2019


High-Quality Whispering-Gallery-Mode Lasing from Cesium Lead Halide Perovskite Nanoplatelets
journal, July 2016

  • Zhang, Qing; Su, Rui; Liu, Xinfeng
  • Advanced Functional Materials, Vol. 26, Issue 34
  • DOI: 10.1002/adfm.201601690

Exciton thermoreflectance of MgO and CaO
journal, December 1973


The PseudoDojo: Training and grading a 85 element optimized norm-conserving pseudopotential table
journal, May 2018


Optical properties and electronic structure of CsPbCl3 and CsPbBr3
journal, March 1978


Spatially Resolved Photogenerated Exciton and Charge Transport in Emerging Semiconductors
journal, April 2020


Dielectric Constant with Local Field Effects Included
journal, January 1963


Stochastic Approach to Phonon-Assisted Optical Absorption
journal, October 2015


Quasiparticle bands and optical spectra of highly ionic crystals: AlN and NaCl
journal, December 2005


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
  • DOI: 10.1103/RevModPhys.73.515

Effective Electron-Hole Interactions in Polar Semiconductors
journal, September 1972


Photocatalytic Water Splitting: Quantitative Approaches toward Photocatalyst by Design
journal, October 2017


Optical properties of excitons in polar semiconductors: Energies, oscillator strengths, and phonon side bands
journal, January 1980


Infrared Dielectric Screening Determines the Low Exciton Binding Energy of Metal-Halide Perovskites
journal, January 2018

  • Umari, Paolo; Mosconi, Edoardo; De Angelis, Filippo
  • The Journal of Physical Chemistry Letters, Vol. 9, Issue 3
  • DOI: 10.1021/acs.jpclett.7b03286

Phonon-Induced Splitting of Exciton Lines in MgO and BeO
journal, April 1968


Inhomogeneous Electron Gas
journal, November 1964


Efficient radical-based light-emitting diodes with doublet emission
journal, November 2018


Energy levels of a neutral hydrogen-like system in a constant magnetic field of arbitrary strength
journal, February 1986


Excitons in Metal‐Halide Perovskites
journal, February 2020

  • Baranowski, Michal; Plochocka, Paulina
  • Advanced Energy Materials, Vol. 10, Issue 26
  • DOI: 10.1002/aenm.201903659

Electron-phonon coupling in C 60 using hybrid functionals
journal, February 2010

  • Laflamme Janssen, Jonathan; Côté, Michel; Louie, Steven G.
  • Physical Review B, Vol. 81, Issue 7
  • DOI: 10.1103/PhysRevB.81.073106

Electron-Hole Excitations in Semiconductors and Insulators
journal, September 1998


Strong Carrier–Phonon Coupling in Lead Halide Perovskite Nanocrystals
journal, September 2017


Quasiparticle semiconductor band structures including spin–orbit interactions
journal, February 2013


Raman scattering investigation of cesium plumbochloride, CsPbCl 3 , phase transitions: Investigation of CsPbCl 3 , phase transitions
journal, May 2003

  • Carabatos-Nédelec, C.; Oussaïd, M.; Nitsch, K.
  • Journal of Raman Spectroscopy, Vol. 34, Issue 5
  • DOI: 10.1002/jrs.1005

Comparison Studies of the Linear and Nonlinear Optical Properties of CsPbBr x I 3– x Nanocrystals: The Influence of Dimensionality and Composition
journal, March 2019

  • Zhao, Fuli; Li, Junzi; Gao, Xian
  • The Journal of Physical Chemistry C, Vol. 123, Issue 14
  • DOI: 10.1021/acs.jpcc.8b12477

Self-interaction correction to density-functional approximations for many-electron systems
journal, May 1981


Optical properties of In 2 O 3 from experiment and first-principles theory: influence of lattice screening
journal, May 2018

  • Schleife, André; Neumann, Maciej D.; Esser, Norbert
  • New Journal of Physics, Vol. 20, Issue 5
  • DOI: 10.1088/1367-2630/aabeb0

Implementation and Validation of Fully Relativistic GW Calculations: Spin–Orbit Coupling in Molecules, Nanocrystals, and Solids
journal, July 2016

  • Scherpelz, Peter; Govoni, Marco; Hamada, Ikutaro
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 8
  • DOI: 10.1021/acs.jctc.6b00114

Pollmann-Büttner variational method for excitonic polarons
journal, December 1978


Impact of the Halide Cage on the Electronic Properties of Fully Inorganic Cesium Lead Halide Perovskites
journal, June 2017


Intensity of Optical Absorption by Excitons
journal, December 1957


Effective Electron and Hole Interactions in a Polarizable Field;
journal, October 1970


Electron-hole excitations and optical spectra from first principles
journal, August 2000


Semiconductors: Data Handbook
book, January 2004


Application of the Green’s functions method to the study of the optical properties of semiconductors
journal, December 1988


Exciton binding energy and effective mass of CsPbCl 3 : a magneto-optical study
journal, January 2020

  • Baranowski, Michal; Plochocka, Paulina; Su, Rui
  • Photonics Research, Vol. 8, Issue 10
  • DOI: 10.1364/PRJ.401872