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Gate-defined Kondo lattices with valley-helical quantum dot arrays

by Antonio L. R. Manesco

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Submission summary

Authors (as registered SciPost users): Antonio Manesco
Submission information
Preprint Link: https://arxiv.org/abs/2408.07148v4  (pdf)
Code repository: https://doi.org/10.5281/zenodo.14334637
Data repository: https://doi.org/10.5281/zenodo.14334637
Date accepted: June 30, 2025
Date submitted: June 3, 2025, 12:46 p.m.
Submitted by: Manesco, Antonio
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational, Phenomenological

Abstract

Kondo physics and heavy-fermion behavior have been predicted and observed in moiré materials. The electric tunability of moiré materials allows an in-situ study of Kondo lattices' phase diagrams, which is not possible with their intermetallic counterparts. However, moiré platforms rely on twisting, which introduces twisting angle disorder and undesired buckling. Here we propose device layouts for one- and two-dimensional gate-defined superlattices in Bernal bilayer graphene where localized states couple to dispersive valley-helical modes. We show that, under electronic interactions, these superlattices are described by an electrically-tunable Kondo-Heisenberg model.

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

I thank the referees for their feedback. I have replied to the referee reports directly and fixed the issues with the list of references.

The summary of the main revisions is in the list of changes below.

List of changes

  • Added an appendix showing that a split gate setup also works as a valley filter.
  • Estimated the scaling of the low-energy model parameters from changes in the microscopic parameters to address the device tunability.
  • Highlighted that short-range disorder is detrimental to the proposal, and mentioned that electrostatic screening suppresses it.
  • Referred to a previous work where we detail the construction of the tight-binding model and develop and demonstrate the scaling used to simulate devices with hundreds of nanometers.
  • Expanded on the explanation of the minimal model.
  • Added references deriving an effective SU(4) Kondo Hamiltonian in graphene and nanotubes.
  • Fixed typos.

Published as SciPost Phys. 19, 024 (2025)


Reports on this Submission

Report #3 by Anonymous (Referee 3) on 2025-6-17 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:2408.07148v4, delivered 2025-06-17, doi: 10.21468/SciPost.Report.11420

Report

The author has addressed the points raised by the other two reviewers and myself and has made the necessary changes. In particular, the discussion of the effective model and the derivation of the Kondo-Heisenberg model have been expanded and referenced. Although I would have liked to see an explicit estimate of the parameter range in which the effective model is valid and could be realized in experiments, I understand that this would require further (realistic) electrostatic simulations. The decision to add a discussion of the expected scaling and to clearly state the range of validity of the model in section 3 is therefore acceptable.

Recommendation

Publish (easily meets expectations and criteria for this Journal; among top 50%)

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Report #2 by Anonymous (Referee 1) on 2025-6-12 (Invited Report)

Report

I believe the author has addressed all the points raised by the referees in the previous version. The discussion has been improved, and typos removed. The simulations presented here make a strong case for experimental verification.

Recommendation

Publish (easily meets expectations and criteria for this Journal; among top 50%)

  • validity: high
  • significance: high
  • originality: high
  • clarity: high
  • formatting: excellent
  • grammar: excellent

Report #1 by Anonymous (Referee 2) on 2025-6-6 (Invited Report)

Report

I am satisfied with the changes made by the author. I support publication in Scipost Physics.

Recommendation

Publish (meets expectations and criteria for this Journal)

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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