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Two $T$-linear scattering-rate regimes in the triangular lattice Hubbard model
by Jérôme Fournier, Pierre-Olivier Downey, Charles-David Hébert, Maxime Charlebois, André-Marie Tremblay
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Submission summary
| Authors (as registered SciPost users): | Pierre-Olivier Downey · Jérôme Fournier · André-Marie Tremblay |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202312_00037v2 (pdf) |
| Date accepted: | 2024-08-20 |
| Date submitted: | 2024-07-08 17:54 |
| Submitted by: | Fournier, Jérôme |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Computational |
Abstract
In recent years, the $T$-linear scattering rate found at low temperatures, defining the strange metal phase of cuprates, has been a subject of interest. Since a wide range of materials have a scattering rate that obeys the equation $ \hbar / \tau \approx k_B T$, the idea of Planckian scattering rate has been proposed. However, there is no consensus on proposed theories yet. In this work, we present our results for the $T$-linear scattering rate in the triangular lattice Hubbard model obtained using the dynamical cluster approximation. In the temperature-doping phase diagram, we find two regions of $T$-linear scattering rate that are driven by different physics : one emerges at low doping from the pseudogap to correlated Fermi liquid phase transition, whereas the other at larger doping is solely caused by large interaction strength. We show that Planckian dissipation and $\omega/T$ scaling pertain to different regimes, unlike what is seen in cuprates.
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Author comments upon resubmission
We are grateful for the thorough and very insightful review of our manuscript. We have carefully considered every comment when making changes to the paper, and we now believe this current version is satisfactory regarding your previous suggestions. A PDF was included for response to each referee.
List of changes
We clarified how our choice of $t$ and $t'$ led to an effective triangular lattice, and the non-interacting dispersion relation for our model was added.
We specified how hole and electron doping were obtained.
We explained how the results on the different patches $\mathbf{K_i}$ were obtained by averaging the results on the different $\Tilde{\mathbf{k}}_j$ within the patch.
A new subsection was added to describe all the limiting factors associated with our chosen method.
A figure of the quasiparticle scattering rate as a function of temperature at doping $p=0.06$ was added in Appendix B. A comment on the value of $\alpha$ at $p=00.6$ was also added in section III.A.
A figure of scattering rate as a function of temperature at $p=0.25$ and $p=0.17$ for different cluster sizes is added in Appendix A. Those results changed our interpretation of the $T^2$ scattering rate at $p\sim 0.17$, which was found on the first paragraph of section III.B. From these results, a paragraph about the importance of superexchange in the interaction-driven regime was added to section IV.A.
Another version of the phase diagram on Fig. 2a, displaying the Sordi transition and the Widom line at $U=8.4$, is added to Appendix C.
A figure of the scattering rate as a function of temperature for the square lattice ($t'=0$) and the triangular lattice $t'=1$, is added to the discussion. The results from this figure are used to justify our comparison with the square lattice in section IV.B.
A figure of the scattering rate as a function of temperature for $p=0.04$, $p=0.06$ and $p=0.08$ at $U=8.4$, and $p=0.25$ at $U=8.5$, is added to appendix E. This allows to distinguish better the different regimes of the scattering rate.
A figure of the scattering rate as a function of doping at $\beta=20$ and $U=8.4$ is added to appendix E.
A figure of the spectral weight as a function of temperature for $p=0.023$, $p=0.04$ and $p=0.06$ at $U=8.4$, and $p=0.25$ at $U=8.5$, is added to appendix F. This allows to demonstrate the existence of the pseudogap.
The spectral weight at $p=0.25$ and $T=1/40$, $1/30$ and $1/20$, for both $U=8.5$ and $U=6.0$, is added to appendix F. The spectral weights are accompanied by a figure of the quasiparticle weight $Z$ as a function of temperature, for $U=6.0$ and $U=8.5$, at $p=0.25$.
Published as SciPost Phys. 17, 072 (2024)
Reports on this Submission
Report #1 by Thomas Schäfer (Referee 3) on 2024-7-15 (Invited Report)
Report
This is a joint report with Mr. Michael Meixner.
The authors answered to all our concerns and suggestions in a very detailed and satisfying manner and adjusted their manuscript accordingly.
We hence recommend the updated version of the manuscript for publication in SciPost Physics.
Recommendation
Publish (surpasses expectations and criteria for this Journal; among top 10%)