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Plasmons in Holographic Graphene
by Ulf Gran, Marcus Tornsö, Tobias Zingg
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Submission summary
| Authors (as registered SciPost users): | Ulf Gran · Marcus Tornsö · Tobias Zingg |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/1804.02284v5 (pdf) |
| Date accepted: | 2020-06-11 |
| Date submitted: | 2020-05-27 02:00 |
| Submitted by: | Gran, Ulf |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We demonstrate how self-sourced collective modes - of which the plasmon is a prominent example due to its relevance in modern technological applications - are identified in strongly correlated systems described by holographic Maxwell theories. The characteristic $\omega \propto \sqrt{k}$ plasmon dispersion for 2D materials, such as graphene, naturally emerges from this formalism. We also demonstrate this by constructing the first holographic model containing this feature. This provides new insight into modeling such systems from a holographic point of view, bottom-up and top-down alike. Beyond that, this method provides a general framework to compute the dynamical charge response of strange metals, which has recently become experimentally accessible due to the novel technique of momentum-resolved electron energy-loss spectroscopy (M-EELS). This framework therefore opens up the exciting possibility of testing holographic models for strange metals against actual experimental data.
Author comments upon resubmission
To address the lack of clarity regarding technical details, we have extended appendix A by adding technical details regarding how we perform the linear response analysis, and in the new appendix B we have listed the equations of motion for the perturbations that we solve. We considered this linear response analysis to be part of the standard lore, but adding the details clearly makes the paper more self-contained.
We have also added a discussion regarding holographic renormalization in the beginning of appendix A, where the action is introduced, and added the two standard counterterms explicitly in the action (they were of course used in the previous computations). Note that no counterterm is necessary for the Maxwell part of the action.
We hope that after these additions, addressing the concerns of the referee, the paper will be judged ready for publication.
List of changes
Appendix A: Extended to include technical details regarding how we perform the linear response analysis.
Appendix A: Discussion regarding holographic renormalisation added after eq (24), where the action is introduced, and the two standard counterterms have been written out explicitly in the action.
New appendix B added containing all the equations of motion for the perturbations that we solve.
Published as SciPost Phys. 8, 093 (2020)