Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities

Abstract

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.

7 pages, 4 figures, suppl. mat

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• Two-particle calculations with quantics tensor trains: Solving the parquet equations
• General Shiba mapping for on-site four-point correlation functions
• Compressing the two-particle Green's function using wavelets: Theory and application to the Hubbard atom
• Effective enhancement of the electron-phonon coupling driven by nonperturbative electronic density fluctuations
• Non-Perturbative Feats in the Physics of Correlated Antiferromagnets
• Non-perturbative effects of short-range spatial correlations at the two-particle level