Relativistic non-Fermi liquid from interacting birefringent fermions: A robust superuniversality
arXiv:1912.08196 · doi:10.1103/PhysRevResearch.2.012047
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.
arXiv comment6 Pages, 3 Figures and 1 Table: Published Version
References in corpus (27)
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
- Theory of interacting electrons on the honeycomb lattice
- Density waves and Cooper pairing on the honeycomb lattice
- Fermionic quantum criticality in honeycomb and -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
- Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
- Topological Crystalline Insulators and Dirac Octets in Anti-perovskites
- Lattice generalization of the Dirac equation to general spin and the role of the flat band
- Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
- Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
- Localization in disordered superconducting wires with broken spin-rotation symmetry
- Hybrid Dirac Semimetal in CaAgBi Materials Family
- Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone
- Modular Invariance, Self-Duality and The Phase Transition Between Quantum Hall Plateaus
- Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
- Emergent Lorentz symmetry near fermionic quantum critical points in two and three dimensions
- Strain-induced time-reversal odd superconductivity in graphene
- Birefringent break up of Dirac fermions in a square optical lattice
- From Birefringent Electrons to a Marginal or Non-Fermi Liquid of Relativistic Spin-1/2 Fermions: An Emergent Superuniversality
- Asymmetric spatial structure of zero modes for birefringent Dirac fermions
- Itinerant quantum multi-criticality of two dimensional Dirac fermions
- Tunable multiple layered Dirac cones in optical lattices
- Manipulation of the Dirac cones and the anomaly in the graphene related quantum Hall effect
- Instabilities of a birefringent semi-metal
- Quantum phase transitions of multi-species Dirac fermions
- Collisionless Transport Close to a Fermionic Quantum Critical Point in Dirac Materials
- Emergence of asymmetric fermionic order in interacting birefringent fermions
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- Robust Marginal Fermi Liquid In Birefringent Semimetals
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- Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions
- Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
- Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
- Emergent Anti-ferromagnetism in a Y -Shaped Kekulé Graphene