An analytic evaluation of Kane fermion magneto-optics in two and three dimensions

Abstract

We calculate and present an analytic form of the magneto-optical conductivity for the gapped low-energy Kane model in two and three dimensions separately. The two-dimensional case maps onto the $\alpha$-${\mathcal{T}}_3$ model at a particular value of $\alpha =1/\sqrt{3}$. In two dimensions, two chiral sectors exist, between which there are no optically activated transitions. In three dimensions, the extra dimension of dispersion mixes the two sectors so that intra- and inter-sector transitions can occur. The latter type of transition can be separated out via circular polarizations of light and shows a distinct signature in the transverse conductivity.

arXiv comment11 pages, 13 figures; Accepted for publication in Physical Review B

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Cited by in corpus (5)

• Optical properties of a semi-Dirac material
• Landau level spectrum and magneto-optical conductivity in tilted Weyl semimetal
• Magneto-optical Conductance of Kane Fermion Gas in Low Frequencies
• Anomalous magnetic transport and extra quantum oscillation in semi-metallic photon-like fermion gas
• Transport properties of the pseudospin-3/2 Dirac-Weyl fermions in the double-barrier-modulated two-dimensional system