Plasmon signature in Dirac-Weyl liquids

Abstract

We consider theoretically as a function of temperature the plasmon mode arising in three-dimensional Dirac liquids, i.e., systems with linear chiral relativistic single-particle dispersion, within the random phase approximation. We find that whereas no plasmon mode exists in the intrinsic (undoped) system at zero temperature, there is a well-defined finite-temperature plasmon with superlinear temperature dependence, rendering the plasmon dispersion widely tunable with temperature. The plasmon dispersion contains a logarithmic correction due to the ultraviolet-logarithmic renormalization of the electron charge, manifesting a fundamental many-body interaction effect as in quantum electrodynamics. The plasmon dispersion of the extrinsic (doped) system displays a minimum at finite temperature before it crosses over to the superlinear intrinsic behavior at higher temperature, implying that the high-temperature plasmon is a universal feature of Dirac liquids irrespective of doping. This striking characteristic temperature dependence of intrinsic Dirac plasmons along with the logarithmic renormalization is a unique manifestation of the three-dimensional relativistic Dirac nature of quasiparticle excitations and serves as an experimentally observable signature of three-dimensional Dirac materials.

5 pages, 3 figures

References in corpus (4)

• Topological response in Weyl semimetals and the chiral anomaly
• Collective modes of the massless Dirac plasma
• Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
• Density response in Weyl metals

Cited by in corpus (14)

• Detection of sub-MeV Dark Matter with Three-Dimensional Dirac Materials
• Optical properties and electromagnetic modes of Weyl semimetals
• Dynamic current-current susceptibility in 3D Dirac and Weyl semimetals
• Interacting Dirac liquid in three-dimensional semimetals
• Magneto-optical Kerr effect in Weyl semimetals with broken inversion and time-reversal symmetries
• Plasmons in a two-dimensional nonsymmorphic nodal-line semimetal
• Four-wave mixing in Weyl semimetals
• Plasmon Fizeau drag in 3D Dirac and Weyl semimetals
• Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals
• Collective excitations and universal broadening of cyclotron absorption in Dirac semimetals in a quantizing magnetic field
• Collective plasmonic modes in the chiral multifold fermionic material CoSi
• Localized surface plasmons in a Weyl semimetal nanosphere
• Dynamic correlations in the highly dilute 2D electron liquid: loss function, critical wave vector and analytic plasmon dispersion
• Temperature-Dependent Collective Excitations in a Three-Dimensional Dirac System ZrTe${}_5$