Interacting Dirac liquid in three-dimensional semimetals

Abstract

We study theoretically the properties of the interacting Dirac liquid, a novel three-dimensional many-body system which was recently experimentally realized and in which the electrons have a chiral linear relativistic dispersion and a mutual Coulomb interaction. We find that the "intrinsic" Dirac liquid, where the Fermi energy lies exactly at the nodes of the band dispersion, displays unusual Fermi liquid properties similar to graphene, whereas the "extrinsic" system with finite detuning or doping behaves as a standard Landau Fermi liquid. We present analytical and numerical results for the self-energy and spectral function based on both Hartree-Fock and the random phase approximation (RPA) theories and compute the quasiparticle lifetime, residue, and renormalized Fermi velocity of the extrinsic Dirac liquid. A full numerical calculation of the extrinsic RPA spectral function indicates that the Fermi liquid description breaks down for large-energy excitations. Furthermore, we find an additional plasmaron quasiparticle sideband in the spectral function which is discontinuous around the Fermi energy. Our predictions should be observable in ARPES and STM measurements.

9 pages, 4 figures

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Cited by in corpus (24)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• 3D Dirac cone carrier dynamics in Na3Bi and Cd3As2
• Many-body effects and ultraviolet renormalization in three-dimensional Dirac materials
• Phase diagram of the Quantum Electrodynamics of 2D and 3D Dirac semimetals
• Collective modes in multi-Weyl semimetals
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Optical evidence of the chiral magnetic anomaly in Weyl semimetal TaAs
• Breakdown of universality in three-dimensional Dirac semimetals with random impurities
• Strongly Interacting Weyl Semimetals: Stability of the Semimetallic Phase and Emergence of Almost Free Fermions
• Dielectric and electronic properties of three-dimensional Luttinger semimetals with a quadratic band touching
• Unconventional electromagnetic mode in neutral Weyl Semimetals
• Broadband strong optical dichroism in topological Dirac semimetals with Fermi velocity anisotropy
• Orbital magnetization and anomalous Hall effect in interacting Weyl semimetals
• Thermal plasmon resonantly enhances electron scattering in Dirac/Weyl semimetals
• Identification of strongly interacting organic semimetals
• Temperature-dependent many-body effects in Dirac-Weyl materials: Interacting compressibility and quasiparticle velocity
• Acoustic plasmons in type-I Weyl semimetals
• Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals
• Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
• Functional renormalization group approach to interacting three-dimensional Weyl semimetals
• Many-body fermionic excitations in Weyl semimetals due to elastic gauge fields
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Dielectric properties of graphene on transition metal dichalcogenide substrate
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder