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.

minor typos fixed

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• Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals
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• 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
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• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Chiral anomaly and internode scatterings in multifold semimetals
• Generic deformation channels for critical Fermi surfaces in the collisionless regime
• Stable non-Fermi liquid fixed point at the onset of incommensurate $2k_F$ charge density wave order
• Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Induction of non-Fermi liquids by critical cavity photons at the onset of superradiance
• Linear response of tilted anisotropic two-dimensional Dirac cones