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Main Authors: Reitner, Matthias, Crippa, Lorenzo, Fus, Dominik Robert, Budich, Jan Carl, Toschi, Alessandro, Sangiovanni, Giorgio
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.00849
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author Reitner, Matthias
Crippa, Lorenzo
Fus, Dominik Robert
Budich, Jan Carl
Toschi, Alessandro
Sangiovanni, Giorgio
author_facet Reitner, Matthias
Crippa, Lorenzo
Fus, Dominik Robert
Budich, Jan Carl
Toschi, Alessandro
Sangiovanni, Giorgio
contents At thermal equilibrium, we find that generalized susceptibilities encoding the static physical response properties of Hermitian many-electron systems possess inherent non-Hermitian (NH) matrix symmetries. This leads to the generic occurrence of exceptional points (EPs), i.e., NH spectral degeneracies, in the generalized susceptibilities of prototypical Fermi-Hubbard models, as a function of a single parameter such as chemical potential. We demonstrate that these EPs are necessary to promote correlation-induced thermodynamic instabilities, such as phase-separation occurring in the proximity of a Mott transition, to a topologically stable phenomenon.
format Preprint
id arxiv_https___arxiv_org_abs_2307_00849
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
Reitner, Matthias
Crippa, Lorenzo
Fus, Dominik Robert
Budich, Jan Carl
Toschi, Alessandro
Sangiovanni, Giorgio
Strongly Correlated Electrons
At thermal equilibrium, we find that generalized susceptibilities encoding the static physical response properties of Hermitian many-electron systems possess inherent non-Hermitian (NH) matrix symmetries. This leads to the generic occurrence of exceptional points (EPs), i.e., NH spectral degeneracies, in the generalized susceptibilities of prototypical Fermi-Hubbard models, as a function of a single parameter such as chemical potential. We demonstrate that these EPs are necessary to promote correlation-induced thermodynamic instabilities, such as phase-separation occurring in the proximity of a Mott transition, to a topologically stable phenomenon.
title Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2307.00849