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

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.

12 Pages, 5 Figures, Submission to SciPost

References in corpus (16)

• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological response in Weyl semimetals and the chiral anomaly
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Electronic states and Landau levels in graphene stacks
• Anomalous Hall Effect in Weyl Metals
• Photocurrents in Weyl semimetals
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Weyl fermions with arbitrary monopole in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering
• Chiral anomaly induced nonlinear Hall effect in multi-Weyl semimetals
• Electronic structure and unconventional non-linear response in double Weyl semimetal SrSi${}_2$
• Nonreciprocal optics and magnetotransport in Weyl metals as signatures of band topology
• Magneto-optical Kerr effect in Weyl semimetals with broken inversion and time-reversal symmetries
• High-performance broadband Faraday rotation spectroscopy of 2D materials and thin magnetic films
• Free-carrier-induced nonlinear dynamics in hybrid graphene-based photonic waveguides
• Kerr effects in tilted multi-Weyl semimetals

Cited by in corpus (5)

• Charge Conservation Beyond Uniformity: Spatially Inhomogeneous Electromagnetic Response in Periodic Solids
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• Optical reflection signature of an axion dielectric with magnetic current
• Double rotatory power reversal, continuous Kerr angle, and enhanced reflectance in bi-isotropic media with anomalous Hall current
• Ultrafast Magneto-optical Fingerprints of Altermagnetism in MnTe