SciPost Submission Page
Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
by Matteo Acciai, Gu Zhang, Christian Spånslätt
Submission summary
| Authors (as registered SciPost users): | Matteo Acciai |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202408_00011v2 (pdf) |
| Date submitted: | 2024-11-21 15:26 |
| Submitted by: | Acciai, Matteo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Continued improvement of heat control in mesoscopic conductors brings novel tools for probing strongly correlated electron phenomena. Motivated by these advances, we comprehensively study transport due to a temperature bias in a quantum point contact device in the fractional quantum Hall regime. We compute the charge-current noise (so-called delta-$T$ noise), heat-current noise, and mixed noise and elucidate how these observables can be used to infer strongly correlated properties of the device. Our main focus is the extraction of so-called scaling dimensions of the tunneling anyonic quasiparticles, of critical importance to correctly infer their anyonic exchange statistics.
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
We provide a detailed response to their criticism in the replies below the reports.
All major modifications in the resubmitted manuscript are marked in red.
We are confident that our revised work meets the expectations for publication.
List of changes
- An extensive part of the introduction has been rewritten, presenting a compact summary of the main results, with references to key equations.
- The outlook section has been rewritten, better emphasizing directions for future research and discussing advantages and disadvantages of the observables we studied.
- A reference to Fig. 2a has been added in the discussion below Equation (28).
- Equation (67) has been corrected.
- A sentence has been added below Equation (70).
- A sentence has been added below Equation (77) .
- Some typos have been corrected.
- A couple of references have been added.
Current status:
Reports on this Submission
Report #1 by Kyrylo Snizhko (Referee 2) on 2024-12-5 (Invited Report)
Strengths
1- Detailed and comprehensive consideration
Weaknesses
1- Lack of definite focus point
2- For the purpose of experimental follow-up, selecting a specific observable and regime to focus on would be hard.
Report
I thank the authors for addressing my comments and for the effort put in rewriting the Introduction and the conclusions.
Nevertheless, I still find that the paper does not meet SciPost acceptance criteria. Referring to the criteria discussed previously and addressed in the response by the authors.
$\textit{(i) Present a breakthrough on a previously-identified and long-standing research stumbling block.}$
Discrepancies between the predicted and the observed scaling dimensions in fractional quantum Hall edges is indeed a long-standing problem. And the authors do fulfil an important mission of providing various results for its determination in one place. Nevertheless, this is not a breakthrough, only a list of possibilities. An important list. Yet, it does not provide a way for quick significant steps in resolving the problem.
$\textit{(ii) Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work.}$
Indeed, there are many possible experiments that can be performed to measure the predictions of this work. Nevertheless, it is not clear that any of such future experiments would provide a qualitatively better determination of the scaling dimension than is currently available.
While the authors propose an extended and rather comprehensive list of results, there is no clear observable or regime that promises to provide more information.
Therefore, the paper can be a basis for systematic explorative investigation (which is an important part of science!). Nevertheless, it is only likely to stimulate specialists with a focused interest. In its present form, the paper appeals principally to the readers possessing high motivation.
Therefore, my recommendation is to publish the paper in SciPost Physics Core, for which the paper meets all acceptance criteria.
Requested changes
1- In the phrase "By using this symmetry, we further express the tunneling charge noise (68)..." before Eq. (70), it is worth stating that the relation $f(-E)=1-f(E)$ has been used.
Recommendation
Accept in alternative Journal (see Report)