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Quasi-particle functional Renormalisation Group calculations in the two-dimensional half-filled Hubbard model at finite temperatures
by D. Rohe, C. Honerkamp
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Daniel Rohe |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2005.00827v2 (pdf) |
| Date accepted: | 2020-11-24 |
| Date submitted: | 2020-10-20 08:16 |
| Submitted by: | Rohe, Daniel |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We present a highly parallelisable scheme for treating functional Renormalisation Group equations which incorporates a quasi-particle-based feedback on the flow and provides direct access to real-frequency self-energy data. This allows to map out the boundaries of Fermi-liquid regimes and to study the effect of quasi-particle degradation near Fermi liquid instabilities. As a first application, selected results for the two-dimensional half-filled perfectly nested Hubbard model are shown.
List of changes
* added content in reply to referee one -> see reply to referee
* added content in reply to referee two -> see reply to referee
* added content in reply to referee three -> see reply to referee
Published as SciPost Phys. 9, 084 (2020)
Reports on this Submission
Report 3 by Walter Metzner on 2020-11-18 (Invited Report)
- Cite as: Walter Metzner, Report on arXiv:2005.00827v2, delivered 2020-11-18, doi: 10.21468/SciPost.Report.2209
Report
The authors have replied satisfactorily to my questions and comments. The provided references on other real frequency fRG calculations are enough. Others can be found in the review by Dupuis et al. which they also cite.
I recommend publication in the present form.
Anonymous Report 2 on 2020-11-12 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2005.00827v2, delivered 2020-11-12, doi: 10.21468/SciPost.Report.2186
Report
The authors have corrected most part of the points which raised the critique of the Referees. I would suggest only technical corrections as mentioned below.
Requested changes
I suggest to replot Fig. 4 where the plot takes only 1/4 of the space of the figure. E.g., the legend can be made two column and/or put to the caption to give more space to the plot.
In Fig. 7 the vertical axis can be restricted by the interval 0.85-0.95 (or similar) to give more space for the plot.
The horizontal axis in Fig. 8 can be restricted by 2.25 giving also more space for the plot.
Anonymous Report 1 on 2020-11-6 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2005.00827v2, delivered 2020-11-06, doi: 10.21468/SciPost.Report.2162
Strengths
This article presents a method that
1. extends the standard one-loop functional renormalization group approach by including quasiparticle-based feedback on the flow, and
2. allows the direct determination of the real frequency dependence of the single-particle self-energy.
3. This work is one of the few examples which presents real frequency behavior obtained with fRG and thus will be of interest to the community.
Report
The authors' response to my previous comments is satisfactory. Publication can now be recommended.
Author: Daniel Rohe on 2020-11-20 [id 1051]
(in reply to Report 2 on 2020-11-12)We thank the referee for these helpful final suggestions which will be implemented.