SciPost Submission Page
Refined cyclic renormalization group in Russian Doll model
by Vedant Motamarri, Ivan M. Khaymovich, Alexander Gorsky
Submission summary
| Authors (as registered SciPost users): | Ivan Khaymovich |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202410_00045v1 (pdf) |
| Date submitted: | 2024-10-19 12:21 |
| Submitted by: | Khaymovich, Ivan |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We discuss the Russian Doll Model (RDM) of superconductivity for finite energy levels. Previously, cyclic renormalization group (RG) and Efimov scaling were found in RDM for part of the equidistant spectrum and we generalize this observation in a few directions. We find that when the whole spectrum is considered, equidistancy condition is removed or diagonal disorder is added, the cyclicity of RG survives but the period of RG becomes energy dependent. The analytic analysis is supported with exact diagonalization.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
Thank you for providing with the Referee reports on our manuscript entitled "Refined cyclic renormalization group in Russian Doll model."
After carefully reading the Referee reports, we see that both of them a quite positive and we agree with all the points, raised by both Referees.
Therefore, we have thoroughly addressed them, and we would like to resubmit the article for further consideration for SciPost Physics (please see the attached version of the revised manuscript with main changes highlighted by blue).
Thank you for your attention to our work.
We look forward to hearing from you.
Sincerely yours,
Vedant Motamarri, Alexander S. Gorsky, and Ivan M. Khaymovich
List of changes
Please see the list of the main changes below:
- Following the recommendation of the Referee 2, we have entirely rewritten the abstract, the introduction, and added some physical and/or clarifying comments throughout the text.
-We have emphasized the main goals of the paper and added the summary to some sections.
- We have also added the more physical outlook to the conclusion section and the examples, suggested by the Referee 2.
- We have added the references [13] and [22], where the Hamiltonians, similar to the one considered here, were used for the description of more physical papers. We don't see the reason to include other references, suggested by the Referee 2, as they just refer to the above two ones and don't add more relevance to the considered Hamiltonians.
- Following the recommendations of the Referee 1, we have added the discussion of the generalized Efimov scaling of [21] (former [20]) in the end of Sec. 3.
- We have also renamed Sec. 3 by adding the names of the paper [20], according to the Referee's suggestion.
- We have made our presentation more accessible to a broader audience.