Optical conductivity of semi-Dirac and pseudospin-1 models: Zitterbewegung approach

Abstract

We present a method to calculate the optical conductivity of semi-Dirac and pseudospin models based on the evaluation of quasiparticle velocity correlators which also describe the phenomenon of zitterbewegung. Applying this method to the semi-Dirac model with merging Dirac cones and gapped dice and Lieb lattice models we find exact analytical expressions for optical longitudinal and Hall conductivities. For the semi-Dirac model the obtained expressions allow us to analyze the role of spectrum anisotropy, van Hove singularities and Dirac cones in longitudinal conductivity. In addition, we predict signatures of topological phase transition with changing gap parameter in such a system that are manifested in dc transport at low temperatures. For the dice and Lieb lattices we emphasize the role of spectral gap, which defines frequency thresholds related to transitions to and from flat band.

19 pages, 5 figures

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Cited by in corpus (8)

• Dynamical optical conductivity for gapped $\alpha -{\mathcal{T}}_3$ materials with a curved "flat" band
• Optical conductivity of bilayer dice lattices
• Highly anisotropic optical conductivities in two-dimensional tilted semi-Dirac bands
• Nonlinear magnetotransport in a two-dimensional system with merging Dirac points
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• An experimental scheme for determining the Berry phase in two-dimensional quantum materials with a flat band
• Probing imbalanced Weyl nodes in two-dimensional anisotropic Weyl semimetal via optical conductivity
• Interacting type-II semi-Dirac quasiparticles