Magneto-optics of general pseudospin-s two-dimensional Dirac-Weyl fermions

Abstract

The popularity of graphene--a pseudospin-1/2 two-dimensional Dirac-Weyl material--has prompted the search for related materials and the characterization of their properties. In this work, the magneto-optical conductivity is calculated for systems that obey the general pseudospin-s two-dimensional Dirac-Weyl Hamiltonian, with particular focus on s = {1/2, 1, 3/2, 2}. This generalizes calculations that have been made for s = 1/2 and follows previous work on the optical response of these systems in zero field. In the presence of a magnetic field, Landau levels condense out of the 2s+1 energy bands. As the chemical potential in a system is shifted, patterns arise in the appearance and disappearance of certain peaks within the optical spectra. These patterns are markedly different for each case considered, creating unique signatures in the magneto-optics. The general structure of each spectrum and how they compare is discussed.

Accepted for publication in Physical Review B; 15 pages, 16 figures

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• Magneto-optical conductivity of anisotropic two-dimensional Dirac-Weyl materials
• Three-dimensional higher-spin Dirac and Weyl dispersions in the strongly isotropic $K_4$ crystal
• Electronic states of pseudospin-1 fermions in $\alpha -{\mathcal{T}}_3$ lattice ribbons in a magnetic field
• An analytic evaluation of Kane fermion magneto-optics in two and three dimensions
• Optical conductivity of bilayer dice lattices
• Optical conductivity of tilted higher pseudospin Dirac-Weyl cones
• Unconventional transport properties in systems with triply degenerate quadratic band crossings
• Transport properties of the pseudospin-3/2 Dirac-Weyl fermions in the double-barrier-modulated two-dimensional system