Method for reconstructing the self-energy from the spectral function

Fuente: arXiv
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Autore principale: Shastry, B Sriram
Natura: Preprint
Pubblicazione: 2024
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author Shastry, B Sriram
author_facet Shastry, B Sriram
contents A fundamental question about the nature of quantum materials such as High-T$_c$ systems remain open to date -- it is unclear whether they are (some variety of) Fermi liquids, or (some variety of) non Fermi liquids. A direct avenue to determine their nature is to study the (imaginary part of the) self-energy at low energies. Here we present a novel method to extract this low $ω$ self-energy from experimentally derived spectral functions. The method seems suited for implementation with high quality angle resolved photoemission data. It is based on a helpful Theorem proposed here, which assures us that the method has minimal (or vanishing) error at the lowest energies. We provide numerical examples showing that a few popular model systems yield distinguishably different low energy self-energies.
format Preprint
id arxiv_https___arxiv_org_abs_2408_07682
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Method for reconstructing the self-energy from the spectral function
Shastry, B Sriram
Strongly Correlated Electrons
Superconductivity
A fundamental question about the nature of quantum materials such as High-T$_c$ systems remain open to date -- it is unclear whether they are (some variety of) Fermi liquids, or (some variety of) non Fermi liquids. A direct avenue to determine their nature is to study the (imaginary part of the) self-energy at low energies. Here we present a novel method to extract this low $ω$ self-energy from experimentally derived spectral functions. The method seems suited for implementation with high quality angle resolved photoemission data. It is based on a helpful Theorem proposed here, which assures us that the method has minimal (or vanishing) error at the lowest energies. We provide numerical examples showing that a few popular model systems yield distinguishably different low energy self-energies.
title Method for reconstructing the self-energy from the spectral function
topic Strongly Correlated Electrons
Superconductivity
url https://arxiv.org/abs/2408.07682