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_00011v1 (pdf) |
| Date submitted: | 2024-08-12 12:29 |
| 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
Current status:
Reports on this Submission
Strengths
1- treats an important and current subject of research in the physics of nano electronic devices
2- develops an approach to quantum charge and heat transport in fractional quantum Hall quantum point contacts using the standard approach of chiral Luttinger liquids
3- provides a comprehensive overview of noise characteristics of heat and charge transport
4- develops a picture based on an effective density of states and noninteracting tunneling to explain the physics
Weaknesses
1- contains a huge amount of results and it is not clear what is the main focus
2- many results are presented as lengthy formulas and they are not interpreted
3- results are mainly of theoretical interest since quantities like the mixed noise are not measurable currently
4- only results in the perturbative regime of weak backscattering or weak tunneling are presented
Report
The authors study the charge and heat transport in a quantum point contact formed between two edge channels in the fractional quantum Hall regime. They focus on noise correlations in the transport, which should provide additional insight into the average currents. To this end, they present a comprehensive overview of the auto- and cross-correlations of charge and energy currents in a wide range of scaling parameters. The main goal is to show how the different quantities reflect the scaling dimensions and how they could be extracted experimentally.
In my opinion, the authors present a solid work that deserves to be published more or less in its present form. Regarding the acceptance criteria highlighted by the author, I find it less clear that they are all fulfilled: the manuscript does not really open a new path or research direction, but rather further develops a well-defined and established theoretical approach to study the various noise quantities. It is certainly a contribution to the field of fractional quantum Hall physics, but will most likely not lead to follow-up work outside this field. I'm also not convinced that it represents an important breakthrough of a research stumbling block. The way to relate the rather complicated results of the fully interacting theory to the effective non-interacting picture might have an impact on future research, but is somewhat hidden in the vast amount of results.
Given the strict criteria for acceptance in SciPost Physics, I would recommend that the authors make a substantial revision and highlight the main results in a compact form at the beginning. It is important that this summary be comprehensible to readers who are not specialists in chiral Luttinger liquids. Otherwise, the manuscript in its current form is acceptable for SciPost Physics Core, where it could be published without further review.
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