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

Ghosh, Supriyo; Sahoo, Ambaresh; Nandy, Snehasish

doi:10.21468/SciPostPhys.15.4.133

SciPost Physics

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

Supriyo Ghosh, Ambaresh Sahoo, Snehasish Nandy

SciPost Phys. 15, 133 (2023) · published 4 October 2023

doi: 10.21468/SciPostPhys.15.4.133
pdf
Submissions/Reports

Abstract

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.4.133
TI  - Theoretical investigations on Kerr and Faraday rotations in topological multi-Weyl Semimetals
PY  - 2023/10/04
UR  - https://www.scipost.org/SciPostPhys.15.4.133
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 4
SP  - 133
A1  - Ghosh, Supriyo
AU  - Sahoo, Ambaresh
AU  - Nandy, Snehasish
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.15.4.133,
	title={{Theoretical investigations on Kerr and Faraday rotations in topological multi-Weyl Semimetals}},
	author={Supriyo Ghosh and Ambaresh Sahoo and Snehasish Nandy},
	journal={SciPost Phys.},
	volume={15},
	pages={133},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.4.133},
	url={https://scipost.org/10.21468/SciPostPhys.15.4.133},
}

Cited by 4

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.

¹ Supriyo Ghosh,
² Ambaresh Sahoo,
¹ ³ Snehasish Nandy

Funders for the research work leading to this publication