Plasmon modes of a massive Dirac plasma, and their superlattices

Abstract

We explore the collective density oscillations of a collection of charged massive Dirac particles, in one, two and three dimensions and their one dimensional superlattice. We calculate the long wavelength limit of the dynamical polarization function analytically, and use the random phase approximation to obtain the plasmon dispersion. The density dependence of the long wavelength plasmon frequency in massive Dirac systems is found to be different compared to systems with parabolic, and gapless Dirac dispersion. We also calculate the long wavelength plasmon dispersion of a 1d metamaterial made from 1d and 2d massive Dirac plasma. Our analytical results will be useful for exploring the use of massive Dirac materials as electrostatically tunable plasmonic metamaterials and can be experimentally verified by infrared spectroscopy as in the case of graphene [L. Ju. et. al., Nat. Nanotechnol. 6, 630 (2011)].

7 pages, 1 figure; typos corrected; Final updated version

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• Intrinsic nonreciprocal bulk plasmons in noncentrosymmetric magnetic systems
• Dynamical polarization, optical conductivity and plasmon mode of a linear triple component fermionic system
• Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma, Part II: Dispersion dependencies
• Dispersive interactions between standard and Dirac materials and the role of dimensionality
• Screening and plasma oscillations in an electron gas in the hydrodynamic approximation
• Large quantum nonreciprocity in plasmons dragged by drifting electrons
• Collective plasmonic modes in the chiral multifold fermionic material CoSi
• Temperature-Dependent Collective Excitations in a Three-Dimensional Dirac System ZrTe${}_5$