Magneto-optical Kramers-Kronig analysis

Abstract

We describe a simple magneto-optical experiment and introduce a magneto-optical Kramers-Kronig analysis (MOKKA) that together allow extracting the complex dielectric function for left- and right-handed circular polarizations in a broad range of frequencies without actually generating circularly polarized light. The experiment consists of measuring reflectivity and Kerr rotation, or alternatively transmission and Faraday rotation, at normal incidence using only standard broadband polarizers without retarders or quarter-wave plates. In a common case, where the magneto-optical rotation is small (below $\sim$ 0.2 rad), a fast measurement protocol can be realized, where the polarizers are fixed at 45${}^{\circ }$ with respect to each other. Apart from the time-effectiveness, the advantage of this protocol is that it can be implemented at ultra-high magnetic fields and in other situations, where an \emph{in-situ} polarizer rotation is difficult. Overall, the proposed technique can be regarded as a magneto-optical generalization of the conventional Kramers-Kronig analysis of reflectivity on bulk samples and the Kramers-Kronig constrained variational analysis of more complex types of spectral data. We demonstrate the application of this method to the textbook semimetals bismuth and graphite and also use it to obtain handedness-resolved magneto-absorption spectra of graphene on SiC.

11 pages, 4 figurs

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• Magnetoplasmonic Enhancement of Faraday Rotation in Patterned Graphene Metasurfaces
• Non-uniform carrier density in Cd${}_3$As${}_2$ evidenced by optical spectroscopy
• Faraday rotation due to surface states in the topological insulator (Bi${}_{1-x}$Sb${}_x$)${}_2$Te${}_3$
• Optical evidence of the chiral magnetic anomaly in Weyl semimetal TaAs
• Suppressed magnetic circular dichroism and valley-selective magneto-absorption due to the effective mass anisotropy in bismuth
• Fano q-reversal in topological insulator Bi2Se3
• Modified Martin-Puplett interferometer for magneto-optical Kerr effect measurements at sub-THz frequencies
• Pump-driven opto-magnetic properties in semiconducting transition-metal dichalcogenides: an analytical model
• Coupling of magnetic and lattice collective excitations in the 2D van der Waals antiferromagnet FePS${}_3$
• Stress-induced Martensitic transformation in epitaxial Ni-Mn-Ga thin films and its correlation to optical and magneto-optical properties
• Landau level spectroscopy in current solid state physics