SciPost Submission Page
Unambiguous Simulation of Diffusive Charge Transport in Disordered Nanoribbons
by Henrique Pina Veiga, Simão Meneses João, João Manuel Alendouro Pinho, João Pedro Santos Pires, João Manuel Viana Parente Lopes
Submission summary
| Authors (as registered SciPost users): | Henrique Veiga |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202407_00027v2 (pdf) |
| Date submitted: | 2024-09-18 12:42 |
| Submitted by: | Veiga, Henrique |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic propagation to Anderson localization, contingent on the system's effective coherence length. Between the extended and localized phases lies a diffusive crossover in which the charge conductivity is properly defined. The numerical observation of this regime has remained elusive because it requires fully coherent transport to be simulated in systems whose dimensions are sufficiently large to meaningfully split the mean-free path and localization length scales. To address this challenge, we employed a novel linear scaling time-resolved approach that enabled us to derive the dc-transport characteristics and observe the three expected 2D transport regimes — ballistic, diffusive, and localized.
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
List of changes
(1) The last paragraph of Section 2.2 was updated, so that it includes more information about the adiabatic switching;
(2) A sentence was added to the captions of figures 5 and 6, to clarify that the normalization was computed using a recursive Green’s function algorithm;
(3) Reformulation of the last three paragraphs of Section 4, regarding the comparison with the Kubo-Greenwood formula;
(4) An example of a direct extension of the presented work was added to the last paragraph of the Conclusion;
Current status:
Reports on this Submission
Strengths
A nice detailed and accessible presentation of the formalisms and results
Weaknesses
I am still troubled with the message of Fig.9. It is difficult to compare the respective lengths, therefore the similarity of the graphs may well be just occasional.
Report
In this second version the manuscript has improved quite a bit. After having read the Authors responses and the modified manuscript, the key ideas of this nice work became clearer to me.
The manuscript has been thoroughly modified. As I pointed out in my first report, the very detailed presentation of the main formalism and results make it very accessible to an interested reader.
Although I still find some of the passages in the text vague, I think that I can consider the paper as am important mark stone the authors reached and certainly worth of being accepted by SciPost.
It is left to the authors to resolve the nuances in the subsequent work.
Requested changes
Publish as is.
Recommendation
Publish (meets expectations and criteria for this Journal)