Dielectric function and plasmons of doped three-dimensional Luttinger semimetals

Abstract

Luttinger semimetals are three-dimensional electron systems with a parabolic band touching and an effective total spin $J=3/2$. In this paper, we present an analytical theory of dielectric screening of inversion-symmetric Luttinger semimetals with an arbitrary carrier density and conduction-valence effective mass asymmetry. Assuming a spherical approximation for the single-particle Luttinger Hamiltonian, we determine analytically the dielectric screening function in the random phase approximation for arbitrary values of the wave vector and frequency, the latter in the complex plane. We use this analytical expression to calculate the dispersion relation and Landau damping of the collective modes in the charge sector (i.e., plasmons).

arXiv comment17 pages, 5 figures, published version

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Cited by in corpus (12)

• d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
• Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
• Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals
• Zero sound and plasmon modes for non-Fermi liquids
• Superconductivity from Coulomb repulsion in three-dimensional quadratic band touching Luttinger semimetals
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Anatomy of plasmons in generic Luttinger semimetals
• Hybrid Dispersion Dirac semimetal and Hybrid Weyl phases in Luttinger Semimetals: A dynamical approach
• Weyl-Luttinger phase transition in pyrochlore iridates revealed by Raman scattering
• Suppression of Peierls-like, nesting-based instabilities in solids
• Infrared fixed points of higher-spin fermions in topological semimetals
• Impurities in 3D quadratic band-touching Luttinger semimetals : Friedel and RKKY oscillations