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Measurement of interaction-dressed Berry curvature and quantum metric in solids by optical absorption
by Wei Chen, Gero von Gersdorff
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Wei Chen |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2202.03494v3 (pdf) |
| Date accepted: | 2022-07-21 |
| Date submitted: | 2022-05-24 18:14 |
| Submitted by: | Chen, Wei |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
The quantum geometric properties of a Bloch state in momentum space are usually described by the Berry curvature and quantum metric. In realistic gapped materials where interactions and disorder render the Bloch state not a viable starting point, we generalize these concepts by introducing dressed Berry curvature and quantum metric at finite temperature, in which the effect of many-body interactions can be included perturbatively. These quantities are extracted from the charge polarization susceptibility caused by linearly or circularly polarized electric fields, whose spectral functions can be measured from momentum-resolved exciton or infrared absorption rate. As a concrete example, we investigate Chern insulators in the presence of impurity scattering, whose results suggest that the quantum geometric properties are protected by the energy gap against many-body interactions.
Author comments upon resubmission
Our manuscript, with a new title "Measurement of interaction-dressed Berry curvature and quantum metric in solids by optical absorption" has been critically reviewed by a referee from SciPost Physics. While the referee praised the potentially broad applications of our theory, he/she also raised concerns about the novelty of our linear response formalism in contrast to existing approaches in the literature. In this revised version, we have incorporated these concerns and rewritten several parts to emphasize the significance of our formalism, especially the connection to experimental measurable. With these changes, we are confident that the revised manuscript properly replied to the referee's concerns, and hereby resubmit it to SciPost Physics for your consideration.
With best regards,
Wei Chen and Gero von Gersdorff
List of changes
(1)We have used a single column template in this new submission. This is merely for the sake of organizing the long equations to be in the single column format of SciPost Physics.
(2)We have changed the title of the paper.
(3)We have added the second paragraph to Sec 2.1 to comment on previous linear response theories.
(4)The last sentence of Conclusion is added to mention first principle calculations.
(5)The first paragraph of Sec 2.5 is rewritten to justify the use of disordered Chern insulator as an example.
Published as SciPost Phys. Core 5, 040 (2022)
Reports on this Submission
Report #1 by Anonymous (Referee 1) on 2022-6-7 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2202.03494v3, delivered 2022-06-07, doi: 10.21468/SciPost.Report.5196
Report
Dear editor,
In this revised version the authors have considered my comments from the previous report. I believe that in this newer version the authors have clearly stated the novelty of their work (in face of the already known linear response theories links to Berry curvature), and indeed the title (that was now changed) is more appropriate to the subject that they are discussing. Despite the fact that my suggestion to demonstrate a "more complex and detailed" example were not considered, I believe that the argument used by the authors ("a very involved subject that will be detailed in a forthcoming study") is fine and certainly the readers will be willing to see those results.
In summary, after the improvements done by the authors in this newer version, I would suggest the manuscript for publication in SciPost.