Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
arxiv(2023)
摘要
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.
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