Abstract

We address the emergent quantum critical phenomena for (pseudo)spin-3/2 birefringent fermions, featuring two effective Fermi velocities, when they reside close to itinerant Mott transitions realized through spontaneous symmetry breaking and triggered by strong local or Hubbardlike repulsive interactions. Irrespective of the nature of the mass orderings that produce fully gapped quasiparticle spectra in the ordered phase, which otherwise can be grouped into three classes, the system always possesses a \emph{unique} terminal velocity near the corresponding quantum critical point. The associated critical regime accommodates a relativistic non-Fermi liquid of strongly coupled collective bosonic and spin-1/2 Dirac excitations with vanishing weight of the quasiparticle pole. These conclusions are also operative near superconducting critical points. Therefore, relativistic non-Fermi liquid possibly constitutes a robust superuniversal description for the entire family of strongly correlated arbitrary half-integer spin Dirac materials.

Highlights

  • The notion of universality commonly incurs in the close proximity to classical and quantum continuous phase transitions, manifesting in power-law scaling of physical observables that only depends on the symmetry and dimensionality of the system [1,2,3]

  • Massless Dirac fermions constitute a superuniversal description of quantum phase transitions (QPTs) between any two topologically distinct insulators belonging to any tenfold symmetry class [10,11,12,13]

  • 1 2 fermion-boson coupled relativistic quantum critical state possibly constitutes a superuniversal description for the entire family of strongly interacting multifringent Dirac fermions, which can manifest in the universal suppression of the optical conductivity [14], for example

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Summary

Rapid Communications

Relativistic non-Fermi liquid from interacting birefringent fermions: A robust superuniversality. 3 2 birefringent fermions, featuring two effective Fermi velocities, when they reside close to itinerant Mott transitions realized through spontaneous symmetry breaking and triggered by strong local or Hubbard-like repulsive interactions. Irrespective of the nature of the mass orderings that produce fully gapped quasiparticle spectra in the ordered phase, which otherwise can be grouped into three classes, the system always possesses a unique terminal velocity near the corresponding quantum critical point. The associated critical regime accommodates a relativistic non-Fermi liquid of strongly coupled collective bosonic and spin-. Dirac excitations with vanishing weight of the quasiparticle pole. These conclusions are operative near superconducting critical points. Relativistic non-Fermi liquid possibly constitutes a robust superuniversal description for the entire family of strongly correlated arbitrary half-integer spin Dirac materials

Introduction
BITAN ROY AND VLADIMIR JURIC IC
Vector Vector
The order parameter from class CIII fully commutes with
The imaginary hopping between the NN sites is proportional to
Nf is the flavor number for
Discussion
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