The Mott metal-insulator transition in the two-dimensional Hubbard model - a cellular dynamical mean-field study on large clusters

ORAL

Abstract

We study the half-filled two-dimensional Hubbard model on a square lattice in cellular dynamical mean-field theory (CDMFT), a real-space cluster extension [1] of the dynamical mean-field theory. By increasing the number of cluster sites up to 6x6 we observe a progressive reduction of the onset interaction U* of a metal-insulator crossover. In particular, in the case of 4x4 sites, we observe a site-dependent U, which is lower at the center sites is lower than at the corner sites. In addition to this real-space analysis we investigate different periodization schemes for the one-particle spectral function and argue that a center-focused [2] cumulant scheme is well-suited in the intermediate coupling regime of U due to its locality.

Publication: [1] Thomas Maier, Mark Jarrell, Thomas Pruschke, and Matthias H. Hettler, Rev. Mod. Phys. 77, 1027 (2005).
[2] M. Klett, N. Wentzell, T. Schäfer, F. Šimkovic IV, O. Parcollet, S. Andergassen, and P. Hansmann, Phys. Rev. Research 2, 033476 (2020).

Presenters

  • Michael D Meixner

    • Max Planck Research Group "Theory of Strongly Correlated Quantum Matter" (SCQM), Max Planck Institute for Solid State Research, Stuttgart, Germany

Authors

  • Michael D Meixner

    • Max Planck Research Group "Theory of Strongly Correlated Quantum Matter" (SCQM), Max Planck Institute for Solid State Research, Stuttgart, Germany
  • Marcel Klett

    • Max Planck Research Group "Theory of Strongly Correlated Quantum Matter" (SCQM), Max Planck Institute for Solids State Research, Stuttgart, Germany
    • Max Planck Research Group "Theory of Strongly Correlated Quantum Matter" (SCQM), Max Planck Institute for Solid State Research, Stuttgart, Germany
  • Sarah Heinzelmann

    • University of Tuebingen
  • Sabine Andergassen

    • Universität Tübingen
    • University of Tuebingen
  • Philipp Hansmann

    • Universität Erlangen-Nürnberg
    • Friedrich-Alexander-University Erlangen-Nuernberg
    • Friedrich-Alexander-Universität Erlangen-Nuernberg
  • Thomas Schaefer

    • Max Planck Research Group "Theory of Strongly Correlated Quantum Matter" (SCQM), Max Planck Institute for Solids State Research, Stuttgart, Germany
    • Max Planck Research Group
    • Max Planck Research Group "Theory of Strongly Correlated Quantum Matter" (SCQM), Max Planck Institute for Solid State Research, Stuttgart, Germany