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We develop a theoretical and computational framework to study polarons in semiconductors and insulators from first principles. Our approach provides the formation energy, excitation energy, and wavefunction of both electron and hole…

材料科学 · 物理学 2019-06-21 Weng Hong Sio , Carla Verdi , Samuel Ponce , Feliciano Giustino

Ab initio calculations of the phonon-induced band structure renormalization are currently based on the perturbative Allen-Heine theory and its many-body generalizations. These approaches are unsuitable to describe materials where electrons…

Starting from recent advances in the first-principles modeling of polarons, variational polaron equations in the strong-coupling adiabatic approximation are formulated in Bloch space. In this framework, polaron formation energy as well as…

材料科学 · 物理学 2022-06-09 Vasilii Vasilchenko , Andriy Zhugayevych , Xavier Gonze

In compound semiconductors and insulators, the polar electron-phonon coupling diverges at long range, known as the Fr\"ohlich interaction. Modern first-principles electron-phonon calculations treat the Fr\"ohlich interaction in a…

Polarons are composite quasiparticles formed by excess charges and the accompanying lattice distortions in solids, and play a critical role in transport, optical, and catalytic properties of semiconductors and insulators. The standard…

材料科学 · 物理学 2026-03-25 Zhenbang Dai , Donghwan Kim , Jon Lafuente-Bartolome , Feliciano Giustino

In polar semiconductors and insulators, the Fr\"ohlich interaction between electrons and long-wavelength longitudinal optical phonons induces a many-body renormalization of the carrier effective masses and the appearence of characteristic…

材料科学 · 物理学 2022-03-10 Nikolaus Kandolf , Carla Verdi , Feliciano Giustino

The energetic stability of positron di-anion systems [A$^-;e^+;$A$^-$] is studied via many-body theory, where $A^-$ includes H$^{-}$, F$^{-}$, Cl$^{-}$ and the molecular anions (CN)$^{-}$ and (NCO)$^{-}$. Specifically, the energy of the…

化学物理 · 物理学 2024-03-01 J. P. Cassidy , J. Hofierka , B. Cunningham , D. G. Green

This article presents a systematic theoretical enquiry concerning the conceptual foundations and the nature of phonon-mediated electron-electron interactions. Starting from the fundamental many-body Hamiltonian, we propose a simple scheme…

材料科学 · 物理学 2020-09-08 R. Starke , G. A. H. Schober

The behavior of charge carriers in polar materials is governed by electron-phonon interactions, which affect their mobilities via phonon scattering and may localize carriers into self-induced deformation fields, forming self-trapped…

材料科学 · 物理学 2025-07-08 Vasilii Vasilchenko , Matteo Giantomassi , Samuel Poncé , Xavier Gonze

In this paper we investigate from first principles the effect of the electron-phonon interaction in two paradigmatic nanostructures: trans-polyacetylene and polyethylene. We found that the strong electron-phonon interaction leads to the…

材料科学 · 物理学 2013-04-02 Elena Cannuccia , Andrea Marini

In materials with strong electron-phonon (e-ph) interactions, charge carriers can distort the surrounding lattice and become trapped, forming self-localized (small) polarons. We recently developed an ab initio approach based on canonical…

材料科学 · 物理学 2022-05-04 Yao Luo , Benjamin K. Chang , Marco Bernardi

The calculation of electron-phonon (e-ph) coupling from first principles is a topic of great interest in materials science, offering a robust, non-empirical framework to understand and predict a wide range of physical phenomena. While…

材料科学 · 物理学 2025-03-17 Savio Laricchia , Casey Eichstaedt , Dimitar Pashov , Mark van Schilfgaarde

We lay down the {\em ab initio} many-body quantum theory of electrons and phonons in- and out-of-equilibrium at any temperature. We begin by addressing a fundamental issue concerning the {\em ab initio} Hamiltonian in the harmonic…

材料科学 · 物理学 2024-02-19 Gianluca Stefanucci , Robert van Leeuwen , Enrico Perfetto

The main quasi-particle characteristics of the one-dimensional polaron are estimated within and beyond the most general Gaussian approximation at arbitrary electron-phonon coupling. We have derived explicitly the ground-state energy and the…

凝聚态物理 · 物理学 2007-05-23 G. Ganbold

The electron-phonon interaction plays a crucial role in many fields of physics and chemistry. Nevertheless, its actual calculation by means of modern many-body perturbation theory is weakened by the use of model Hamiltonians that are based…

材料科学 · 物理学 2015-05-15 Andrea Marini , Samuel Poncé , Xavier Gonze

Describing electron-phonon interactions in a solid requires knowledge of the electron-phonon matrix elements in the Hamiltonian. State-of-the-art first-principles calculations for the electron-phonon interaction are limited to the…

First-principles calculations combining density functional theory and many-body perturbation theory can provide microscopic insight into the dynamics of electrons and phonons in materials. We review this theoretical and computational…

材料科学 · 物理学 2016-11-23 Marco Bernardi

This article reviews the theory of electron-phonon interactions in solids from the point of view of ab-initio calculations. While the electron-phonon interaction has been studied for almost a century, predictive non-empirical calculations…

材料科学 · 物理学 2017-03-08 Feliciano Giustino

This article reviews recent theoretical developments in the ab initio study of polarons in materials. The polaron is an emergent quasiparticle that arises from the interaction between electrons and phonons in solids, and consists of an…

材料科学 · 物理学 2025-12-09 Zhenbang Dai , Jon Lafuente-Bartolome , Feliciano Giustino

We study ground-state properties of a two-site, two-electron Holstein model describing two molecules coupled indirectly via electron-phonon interaction by using both exact diagonalization and self-consistent diagrammatic many-body…

强关联电子 · 物理学 2016-01-20 N. Säkkinen , Y. Peng , H. Appel , R. van Leeuwen
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