Robust Marginal Fermi Liquid In Birefringent Semimetals

Abstract

We investigate the interplay of Coulomb interactions and correlated disorder in pseudospin-3/2 semimetals, which exhibit birefringent spectra in the absence of interactions. Coulomb interactions drive the system to a marginal Fermi liquid, both for the two-dimensional (2d) and three-dimensional (3d) cases. Short-ranged correlated disorder in 2d, or a power-law correlated disorder 3d, has the same engineering dimension as the Coulomb term, in a renormalization group (RG) sense. In order to analyze the combined effects of these two kinds of interactions, we apply a dimensional regularization scheme and derive the RG flow equations. The results show that the marginal Fermi liquid phase is robust against disorder.

arXiv commentminor typos fixed

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• Magnus Hall effect in three-dimensional topological semimetals
• Transmission and conductance across junctions of isotropic and anisotropic three-dimensional semimetals
• Thermoelectric response in nodal-point semimetals
• Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Signatures of two- and three-dimensional semimetals from circular dichroism
• Floquet transmission in Weyl/multi-Weyl and nodal-line semimetals through a time-periodic potential well
• Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals
• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Zero sound and plasmon modes for non-Fermi liquids
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
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• Induction of non-Fermi liquids by critical cavity photons at the onset of superradiance
• Linear response of tilted anisotropic two-dimensional Dirac cones