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

M. Reitner, P. Chalupa, L. Del Re, D. Springer, S. Ciuchi, G. Sangiovanni, and A. Toschi
Phys. Rev. Lett. 125, 196403 – Published 5 November 2020
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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.

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  • Received 27 March 2020
  • Accepted 5 October 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.196403

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Reitner1,†, P. Chalupa1,†, L. Del Re2,3, D. Springer1,4, S. Ciuchi5, G. Sangiovanni6, and A. Toschi1,*

  • 1Institute of Solid State Physics, TU Wien, 1040 Vienna, Austria
  • 2Department of Physics, Georgetown University, 37th and O Streets, NW, Washington, D.C. 20057, USA
  • 3Erwin Schrödinger International Insitute for Mathematics and Physics, Boltzmanngasse 9 1090 Vienna, Austria
  • 4Institute of Advanced Research in Artificial Intelligence, IARAI, A-1030 Vienna, Austria
  • 5Dipartimento di Scienze Fisiche e Chimiche, Università dell’Aquila, and Istituto dei Sistemi Complessi,CNR, Coppito-L’Aquila, Italy
  • 6Institut für Theoretische Physik und Astrophysik and Würzburg-Dresden Cluster of Excellence ct.qmat, Universität Würzburg, 97074, Germany

  • *Corresponding author. toschi@ifp.tuwien.ac.at
  • These authors contributed equally to this work.

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Issue

Vol. 125, Iss. 19 — 6 November 2020

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