Bethe-Salpeter Equation at the Critical End Point of the Mott Transition

Erik G. C. P. van Loon, Friedrich Krien, and Andrey A. Katanin
Phys. Rev. Lett. 125, 136402 – Published 23 September 2020
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Abstract

Strong repulsive interactions between electrons can lead to a Mott metal-insulator transition. The dynamical mean-field theory (DMFT) explains the critical end point and the hysteresis region usually in terms of single-particle concepts, such as the spectral function and the quasiparticle weight. In this Letter, we reconsider the critical end point of the metal-insulator transition on the DMFT’s two-particle level. We show that the relevant eigenvalue and eigenvector of the nonlocal Bethe-Salpeter kernel in the charge channel provide a unified picture of the hysteresis region and of the critical end point of the Mott transition. In particular, they simultaneously explain the thermodynamics of the hysteresis region and the iterative stability of the DMFT equations. This analysis paves the way for a deeper understanding of phase transitions in correlated materials.

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  • Received 27 March 2020
  • Revised 17 August 2020
  • Accepted 21 August 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.136402

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Erik G. C. P. van Loon1,2,*, Friedrich Krien3, and Andrey A. Katanin4,5

  • 1Institut für Theoretische Physik, Universität Bremen, Otto-Hahn-Allee 1, 28359 Bremen, Germany
  • 2Bremen Center for Computational Materials Science, Universität Bremen, Am Fallturm 1a, 28359 Bremen, Germany
  • 3Jožef Stefan Institute, Jamova 39, SI-1000, Ljubljana, Slovenia
  • 4Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia
  • 5M. N. Mikheev Institute of Metal Physics, Russian Academy of Sciences, 620108 Yekaterinburg, Russia

  • *evloon@itp.uni-bremen.de

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Issue

Vol. 125, Iss. 13 — 25 September 2020

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