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Mott transition and pseudogap of the square-lattice Hubbard model: results from center-focused cellular dynamical mean-field theory

by Michael Meixner, Henri Menke, Marcel Klett, Sarah Heinzelmann, Sabine Andergassen, Philipp Hansmann, Thomas Schäfer

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Submission summary

Authors (as registered SciPost users): Michael Meixner · Thomas Schäfer
Submission information
Preprint Link:  (pdf)
Date accepted: 2024-02-05
Date submitted: 2024-01-17 10:44
Submitted by: Schäfer, Thomas
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational


The recently proposed center-focused post-processing procedure [Phys. Rev. Research 2, 033476 (2020)] of cellular dynamical mean-field theory suggests that central sites of large impurity clusters are closer to the exact solution of the Hubbard model than the edge sites. In this paper, we systematically investigate results in the spirit of this center-focused scheme for several cluster sizes up to $8\times 8$ in and out of particle-hole symmetry. First we analyze the metal-insulator crossovers and transitions of the half-filled Hubbard model on a simple square lattice. We find that the critical interaction of the crossover is reduced with increasing cluster sizes and the critical temperature abruptly drops for the $4\times 4$ cluster. Second, for this cluster size, we apply the center-focused scheme to a system with more realistic tight-binding parameters, investigating its pseudogap regime as a function of temperature and doping, where we find doping dependent metal-insulator crossovers, Lifshitz transitions and a strongly renormalized Fermi-liquid regime. Additionally to diagnosing the real space origin of the suppressed antinodal spectral weight in the pseudogap regime, we can infer hints towards underlying charge ordering tendencies.

Author comments upon resubmission

We thank all three Reviewers for their thorough reading of our manuscript and for very useful comments. Given the positive remarks of the Reviewers and the addressing of all their comments and remarks in the new version of our manuscript and the replies, we feel that our paper is now ready for publication in SciPost Physics.

List of changes

On request of Referee 1:
-) Correction of a typo on page 3.
-) Style change in Figure 1.
-) A footnote on page 9 discussing pseudogap physics in the particle-hole symmetric, half-filled case and referring to the following amendment.
-) Amendment of a new Appendix (C), discussing the pseudogap in the particle hole symmetric case at U=5t, including a new figure, Fig. 14, on page 22f.
-) A footnote on page 16, discussing the absence of a pseudogap for the half-filled and electron doped case. Also, citations were added.
-) Amendment of the caption of Fig. 10.

On the request of Referee 3:
-) A footnote on page 4 specifying some numeric cost.
-) A short comment, mentioning the suggested literature by [Chatzieleftheriou et al.] at the end of section 3.1 (page 7).
-) Rementioning the definition of 2nn as second-nearest neighbor at the beginning of section 5, page 12, for readability.
-) A more detailed description of the MaxEnt-procedure used in the calculations, including a link to the used package on page 5.
-) An amendment of the caption of Fig. 10 to detail the rounding of the given numbers to 0.1%.
-) Amendment of the reference given by the Referee.

Published as SciPost Phys. 16, 059 (2024)

Reports on this Submission

Anonymous Report 3 on 2024-1-25 (Invited Report)


The Authors reply to all my comments.
I recommend this paper for publication.

  • validity: high
  • significance: high
  • originality: high
  • clarity: top
  • formatting: excellent
  • grammar: excellent

Anonymous Report 2 on 2024-1-20 (Invited Report)


The article is ready for publication

Requested changes

No additional changes request

  • validity: top
  • significance: top
  • originality: top
  • clarity: high
  • formatting: excellent
  • grammar: excellent

Report 1 by Pierre-Olivier Downey on 2024-1-17 (Invited Report)


I believe the paper is ready to be published.

  • validity: top
  • significance: top
  • originality: top
  • clarity: top
  • formatting: perfect
  • grammar: perfect

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