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Linear Resistivity from Spatially Random Interactions and the Uniqueness of Yukawa Coupling
by Sang-Jin Sin, Yi-Li Wang
Submission summary
| Authors (as registered SciPost users): | Yili Wang |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2507.09442v4 (pdf) |
| Date submitted: | Feb. 3, 2026, 7 a.m. |
| Submitted by: | Yili Wang |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Recent studies have shown that a spatially random Yukawa-type interaction between a Fermi surface and critical bosons can produce linear-in-temperature resistivity, the defining signature of strange metals. In this article, we systematically classify all scalar couplings of the form $(ψ^{\dagger}ψ)^nφ^m$ in arbitrary dimensions to identify possible candidates for strange-metal behaviour within this disordered framework. We find that only spatially random Yukawa-type interaction in $(2+1)$ dimensions can yield linear resistivity.
Author comments upon resubmission
Dear Editors,
We resubmit our manuscript to SciPost Physics Core following your suggestion and have revised the manuscript accordingly. We have clarified more details of our analysis, expanded the discussion of dimensional analysis versus explicit calculations, and added further explanations where appropriate.
The referees‘ comments have been addressed directly from the submission page. We hope that the revised version is suitable for consideration in SciPost Physics Core.
Thank you for your consideration.
Sincerely,
Yili Wang on behalf of all co-authors
We resubmit our manuscript to SciPost Physics Core following your suggestion and have revised the manuscript accordingly. We have clarified more details of our analysis, expanded the discussion of dimensional analysis versus explicit calculations, and added further explanations where appropriate.
The referees‘ comments have been addressed directly from the submission page. We hope that the revised version is suitable for consideration in SciPost Physics Core.
Thank you for your consideration.
Sincerely,
Yili Wang on behalf of all co-authors
List of changes
- Eqns.(2.31) and (2.32) has been modified from $\Pi(i\Omega)$ to $\Pi(i\Omega)-\Pi(0)$;
- A typo in eqn.(2.34) is fixed, where $\Omega$ has been changed to $\omega$; and discussion is added below on this dimensional estimation.
- More details have been added in eqn.(2.36), and one more equation is used to clarify the computation, which is (2.37) in the latest manuscript.
- Eqn.(2.38) (originally (2.37)) has contained more steps;
- More discussions has been provided below eqn.(2.38) and eqns.(2.39) and (2.40);
- A discussion on the missing logarithmic corrections and potential divergences are added at the end on section 2 (on page 11) and the end of section 3 (pages 14 and 15);
- Original (A.2) has been removed;
- Eqn.(C.3) has been replaced by a more accurate estimation .
Current status:
In refereeing