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Theoretical investigations on Kerr and Faraday rotations in topological multi-Weyl Semimetals

by Supriyo Ghosh, Ambaresh Sahoo, Snehasish Nandy

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Submission summary

Authors (as registered SciPost users): Snehasish Nandy
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-08-17
Date submitted: 2023-07-21 03:42
Submitted by: Nandy, Snehasish
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical


Motivated by the recent proposal of giant Kerr rotation in WSMs, we investigate the Kerr and Faraday rotations in time-reversal broken multi-Weyl semimetals (mWSMs) in the absence of an external magnetic field. Using the framework of Kubo response theory, we find that both the longitudinal and transverse components of the optical conductivity in mWSMs are modified by the topological charge ($n$). Engendered by the optical Hall conductivity, we show in the thin film limit that, while the giant Kerr rotation and corresponding ellipticity are independent of $n$, the Faraday rotation and its ellipticity angle scale as $n$ and $n^2$, respectively. In contrast, the polarization rotation in semi-infinite mWSMs is dominated by the axion field showing $n$ dependence. In particular, the magnitude of Kerr (Faraday) angle decreases (increases) with increasing $n$ in Faraday geometry, whereas in Voigt geometry, it depicts different $n$-dependencies in different frequency regimes. The obtained results on the behavior of polarization rotations in mWSMs could be used in experiments as a probe to distinguish single, double, and triple WSMs, as well as discriminate the surfaces of mWSMs with and without hosting Fermi arcs.

Published as SciPost Phys. 15, 133 (2023)

Author comments upon resubmission

We are grateful to the Referee for the careful reading as well as for taking his/her time to write a report on our paper. We thank the referee for recommending our paper for publication. We have uploaded our response to the referee comments in separate file.

List of changes

Summary of changes in response to referee report

1) In response to referee comment 1, we have added a relevant comment on qualitative differences between a conventional WSM and mWSM in the revised manuscript. (First and second paragraph of the discussion and conclusion section, Right column, Page 10)

2) In response to referee comment 2, we have added a relevant comment on trivial band contribution to polarization rotation in the third paragraph of the discussion and conclusion section of the revised manuscript. (Left column, Page 11)

Submission & Refereeing History

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Resubmission 2209.11217v5 on 21 July 2023

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