Temperature-dependent Electronic Spectral Functions from Band-Structure Unfolding

Fuente: arXiv
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Auteurs principaux: Quan, Jingkai, Zhang, Min-Ye, Rybin, Nikita, Zacharias, Marios, Ren, Xinguo, Jiang, Hong, Scheffler, Matthias, Carbogno, Christian
Format: Preprint
Publié: 2024
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author Quan, Jingkai
Zhang, Min-Ye
Rybin, Nikita
Zacharias, Marios
Ren, Xinguo
Jiang, Hong
Scheffler, Matthias
Carbogno, Christian
author_facet Quan, Jingkai
Zhang, Min-Ye
Rybin, Nikita
Zacharias, Marios
Ren, Xinguo
Jiang, Hong
Scheffler, Matthias
Carbogno, Christian
contents The electronic band structure, describing the periodic dependence of electronic quantum states on lattice momentum in reciprocal space, is a fundamental concept in solid-state physics. However, it's only well-defined for static nuclei. To account for thermodynamic effects, this concept must be generalized by introducing the temperature-dependent spectral function, which characterizes the finite-width distributions of electronic quantum states at each reciprocal vector. Many-body perturbation theory can compute spectral functions and associated observables, but it approximates the dynamics of nuclei and its coupling to the electrons using the harmonic approximation and linear-order electron-phonon coupling elements, respectively. These approximations may fail at elevated temperatures or for mobile atoms. To avoid inaccuracies, the electronic spectral function can be obtained non-perturbatively, capturing higher-order couplings between electrons and vibrational degrees of freedom. This process involves recovering the representation of supercell bands in the first Brillouin zone of the primitive cell, a process known as unfolding. In this contribution, we describe the implementation of the band-structure unfolding technique in the electronic-structure theory package FHI-aims and the updates made since its original development.
format Preprint
id arxiv_https___arxiv_org_abs_2411_04951
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Temperature-dependent Electronic Spectral Functions from Band-Structure Unfolding
Quan, Jingkai
Zhang, Min-Ye
Rybin, Nikita
Zacharias, Marios
Ren, Xinguo
Jiang, Hong
Scheffler, Matthias
Carbogno, Christian
Materials Science
The electronic band structure, describing the periodic dependence of electronic quantum states on lattice momentum in reciprocal space, is a fundamental concept in solid-state physics. However, it's only well-defined for static nuclei. To account for thermodynamic effects, this concept must be generalized by introducing the temperature-dependent spectral function, which characterizes the finite-width distributions of electronic quantum states at each reciprocal vector. Many-body perturbation theory can compute spectral functions and associated observables, but it approximates the dynamics of nuclei and its coupling to the electrons using the harmonic approximation and linear-order electron-phonon coupling elements, respectively. These approximations may fail at elevated temperatures or for mobile atoms. To avoid inaccuracies, the electronic spectral function can be obtained non-perturbatively, capturing higher-order couplings between electrons and vibrational degrees of freedom. This process involves recovering the representation of supercell bands in the first Brillouin zone of the primitive cell, a process known as unfolding. In this contribution, we describe the implementation of the band-structure unfolding technique in the electronic-structure theory package FHI-aims and the updates made since its original development.
title Temperature-dependent Electronic Spectral Functions from Band-Structure Unfolding
topic Materials Science
url https://arxiv.org/abs/2411.04951