Importance of nonlinear long-range electron-phonon interaction on the carrier mobility of anharmonic halide perovskites

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Main Authors: Houtput, Matthew, Zappacosta, Ingvar, Klimin, Serghei, Poncé, Samuel, Tempere, Jacques, Franchini, Cesare
Format: Preprint
Published: 2026
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_version_ 1866912961902149632
author Houtput, Matthew
Zappacosta, Ingvar
Klimin, Serghei
Poncé, Samuel
Tempere, Jacques
Franchini, Cesare
author_facet Houtput, Matthew
Zappacosta, Ingvar
Klimin, Serghei
Poncé, Samuel
Tempere, Jacques
Franchini, Cesare
contents The interaction between the electrons and the lattice vibrations in a solid is responsible for various important effects, such as formation of polarons, temperature dependent bandgaps, phonon-limited carrier transport, and conventional superconductivity. Most works assume a linear electron-phonon interaction, where the electron only interacts with one phonon at a time. However, the validity of this assumption has not been verified in polar anharmonic materials, where large ionic displacements may invalidate the assumption of linear interaction. Here, we show that nonlinear electron-phonon interactions contribute significantly to the finite-temperature electron mobility of the inorganic lead halide perovskite CsPbI$_3$. We calculate the electron mobility from first principles using the self-energy relaxation time approximation and the long-range approximation. The effect of nonlinear interaction is taken into account using the recently derived expression for the long-range part of the one-electron-two-phonon matrix element. We show that due to the low phonon frequencies of CsPbI$_3$, the one-electron-two-phonon interaction changes the temperature scaling of the mobility and contributes about 10\% to the mobility at room temperature. The results underscore the importance of including nonlinear electron-phonon interaction in anharmonic halide perovskites.
format Preprint
id arxiv_https___arxiv_org_abs_2603_10954
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Importance of nonlinear long-range electron-phonon interaction on the carrier mobility of anharmonic halide perovskites
Houtput, Matthew
Zappacosta, Ingvar
Klimin, Serghei
Poncé, Samuel
Tempere, Jacques
Franchini, Cesare
Materials Science
The interaction between the electrons and the lattice vibrations in a solid is responsible for various important effects, such as formation of polarons, temperature dependent bandgaps, phonon-limited carrier transport, and conventional superconductivity. Most works assume a linear electron-phonon interaction, where the electron only interacts with one phonon at a time. However, the validity of this assumption has not been verified in polar anharmonic materials, where large ionic displacements may invalidate the assumption of linear interaction. Here, we show that nonlinear electron-phonon interactions contribute significantly to the finite-temperature electron mobility of the inorganic lead halide perovskite CsPbI$_3$. We calculate the electron mobility from first principles using the self-energy relaxation time approximation and the long-range approximation. The effect of nonlinear interaction is taken into account using the recently derived expression for the long-range part of the one-electron-two-phonon matrix element. We show that due to the low phonon frequencies of CsPbI$_3$, the one-electron-two-phonon interaction changes the temperature scaling of the mobility and contributes about 10\% to the mobility at room temperature. The results underscore the importance of including nonlinear electron-phonon interaction in anharmonic halide perovskites.
title Importance of nonlinear long-range electron-phonon interaction on the carrier mobility of anharmonic halide perovskites
topic Materials Science
url https://arxiv.org/abs/2603.10954