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.

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

References in corpus (4)

• Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase
• Topological Weyl Semi-metal from a Lattice Model
• Magneto-optics of general pseudospin-s two-dimensional Dirac-Weyl fermions
• Tunable orbital susceptibility in $\alpha$-${\mathcal{T}}_3$ tight-binding models

Cited by in corpus (4)

• Optical properties of a semi-Dirac material
• Landau level spectrum and magneto-optical conductivity in tilted Weyl semimetal
• 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