Excitonic Bloch equations from first principles

The ultrafast conversion of coherent excitons into incoherent excitons, as well as the subsequent exciton diffusion and thermalization, are central topics in current scientific research due to their relevance in optoelectronics, photovoltaics and photocatalysis. Current approaches to the exciton dyn...

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Main Author: Gianluca Stefanucci, Enrico Perfetto
Format: Article
Language:English
Published: SciPost 2025-01-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.18.1.009
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author Gianluca Stefanucci, Enrico Perfetto
author_facet Gianluca Stefanucci, Enrico Perfetto
author_sort Gianluca Stefanucci, Enrico Perfetto
collection DOAJ
description The ultrafast conversion of coherent excitons into incoherent excitons, as well as the subsequent exciton diffusion and thermalization, are central topics in current scientific research due to their relevance in optoelectronics, photovoltaics and photocatalysis. Current approaches to the exciton dynamics rely on model Hamiltonians that depend on already screened electron-electron and electron-phonon couplings. In this work, we subject the state-of-the-art methods to scrutiny using the ab initio Hamiltonian for electrons and phonons. We offer a rigorous and intuitive proof demonstrating that the exciton dynamics governed by model Hamiltonians is affected by an overscreening of the electron-phonon interaction. The introduction of an auxiliary exciton species, termed the irreducible exciton, enables us to formulate a theory free from overscreening and derive the excitonic Bloch equations. These equations describe the time-evolution of coherent, irreducible, and incoherent excitons during and after the optical excitation. They are applicable beyond the linear regime, and predict that the total number of excitons is preserved when the external fields are switched off.
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spelling doaj-art-983a0a32bc8043dbb327a1389f2b4d0b2025-01-09T13:20:27ZengSciPostSciPost Physics2542-46532025-01-0118100910.21468/SciPostPhys.18.1.009Excitonic Bloch equations from first principlesGianluca Stefanucci, Enrico PerfettoThe ultrafast conversion of coherent excitons into incoherent excitons, as well as the subsequent exciton diffusion and thermalization, are central topics in current scientific research due to their relevance in optoelectronics, photovoltaics and photocatalysis. Current approaches to the exciton dynamics rely on model Hamiltonians that depend on already screened electron-electron and electron-phonon couplings. In this work, we subject the state-of-the-art methods to scrutiny using the ab initio Hamiltonian for electrons and phonons. We offer a rigorous and intuitive proof demonstrating that the exciton dynamics governed by model Hamiltonians is affected by an overscreening of the electron-phonon interaction. The introduction of an auxiliary exciton species, termed the irreducible exciton, enables us to formulate a theory free from overscreening and derive the excitonic Bloch equations. These equations describe the time-evolution of coherent, irreducible, and incoherent excitons during and after the optical excitation. They are applicable beyond the linear regime, and predict that the total number of excitons is preserved when the external fields are switched off.https://scipost.org/SciPostPhys.18.1.009
spellingShingle Gianluca Stefanucci, Enrico Perfetto
Excitonic Bloch equations from first principles
SciPost Physics
title Excitonic Bloch equations from first principles
title_full Excitonic Bloch equations from first principles
title_fullStr Excitonic Bloch equations from first principles
title_full_unstemmed Excitonic Bloch equations from first principles
title_short Excitonic Bloch equations from first principles
title_sort excitonic bloch equations from first principles
url https://scipost.org/SciPostPhys.18.1.009
work_keys_str_mv AT gianlucastefanuccienricoperfetto excitonicblochequationsfromfirstprinciples