Attractive Effect of a Strong Electronic Repulsion: The Physics of Vertex Divergences

Physical Review Letters
M ReitnerA Toschi

Abstract

While the breakdown of the perturbation expansion for the many-electron problem has several formal consequences, here we unveil its physical effect: flipping the sign of the effective electronic interaction in specific scattering channels. By decomposing local and uniform susceptibilities of the Hubbard model via their spectral representations, we prove how entering the nonperturbative regime causes an enhancement of the charge response, ultimately responsible for the phase-separation instabilities close to the Mott metal-insulator transition. Our analysis opens a new route for understanding phase transitions in the nonperturbative regime and clarifies why attractive effects emerging from a strong repulsion can induce phase separations but not s-wave pairing or charge-density wave instabilities.

References

Jul 30, 2002·Physical Review Letters·G KotliarM J Rozenberg
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Feb 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ka-Ming TamM Jarrell
Jun 14, 2013·Physical Review Letters·T SchäferA Toschi
Jul 22, 2015·Physical Review Letters·O GunnarssonA Toschi
Sep 28, 2017·Physical Review Letters·O GunnarssonA Toschi
Mar 3, 2018·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Walter TarantinoLucia Reining
Feb 15, 2020·Physical Review Letters·A KauchK Held
Oct 10, 2020·Physical Review Letters·Erik G C P van LoonAndrey A Katanin

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Citations

Mar 3, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Thomas Schäfer, Alessandro Toschi

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