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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
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Sabine Andergassen · Michael Meixner · Thomas Schäfer |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2310.17302v2 (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 |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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
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
Report #1 by Pierre-Olivier Downey (Referee 1) on 2024-1-17 (Invited Report)
Report
I believe the paper is ready to be published.