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  • Letter
  • Open Access

Protection of correlation-induced phase instabilities by exceptional susceptibilities

M. Reitner1, L. Crippa2, D. R. Fus1, J. C. Budich3,4, A. Toschi1, and G. Sangiovanni2,*

  • 1Institute of Solid State Physics, TU Wien, 1040 Vienna, Austria
  • 2Institut für Theoretische Physik und Astrophysik and Würzburg-Dresden Cluster of Excellence ct.qmat, Universität Würzburg, 97074 Würzburg, Germany
  • 3Institute of Theoretical Phyiscs, Technische Universität Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat, 01062 Dresden, Germany
  • 4Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany

  • *giorgio.sangiovanni@uni-wuerzburg.de
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Phys. Rev. Research 6, L022031 – Published 6 May, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L022031

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.

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Phys. Rev. Research 6, L022031– Published 6 May, 2024
  • Received 1 July 2023
  • Revised 22 January 2024
  • Accepted 4 April 2024
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