Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase

Abstract

HgCdTe at a critical cadmium doping has a bulk dispersion which includes two linear cones meeting at a single point at zero energy, intersecting a nearly flat band, similar to the pseudospin-1 Dirac-Weyl system. In the presence of a finite magnetic field, these bands condense into highly degenerate Landau levels. We have numerically calculated the frequency-dependent magneto-optical and zero-field conductivity of this material using the Kane model. The calculations show good agreement with recent experimental measurements. We discuss the signature of the flat band and the split peaks of the magneto-optics in terms of general pseudospin-s models and propose that the system exhibits a non-π-quantized Berry phase, found in recent theoretical work.

arXiv comment5 pages, 4 figures

References in corpus (11)

• The electronic properties of graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Flat bands in topological media
• 3D massless Kane fermions observed in a zinc-blende crystal
• From dia- to paramagnetic orbital susceptibility of Dirac cones
• Three-dimensional Dirac fermions in quasicrystals as seen via optical conductivity
• Lattice generalization of the Dirac equation to general spin and the role of the flat band
• Magneto-optical conductivity of Weyl semimetals
• Magneto-optics of general pseudospin-s two-dimensional Dirac-Weyl fermions

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