β-YbAlB4: a critical nodal metal

Abstract

We propose a model for the intrinsic quantum criticality of β-YbAlB4, in which a vortex in momentum space gives rise to a new type of Fermi surface singularity. The unquenched angular momentum of the |J = 7/2,m_J = \pm5/2> Yb 4f-states generates a momentum-space line defect in the hybridization between 4f and conduction electrons, leading to a quasi-two dimensional Fermi surface with a k\perp4 dispersion and a singular density of states proportional to E^{-1/2}. We discuss the implications of this line-node in momentum space for our current understanding of quantum criticality and its interplay with topology.

References in corpus (10)

• Quantum Criticality in Heavy Fermion Metals
• Topological Kondo Insulators
• Heavy Fermions and Quantum Phase Transitions
• Quantum Criticality without Tuning in the Mixed Valence Compound beta-YbAlB4
• A Theory of Anisotropic Semiconductor of Heavy Fermions
• Strong valence fluctuation in the quantum critical heavy fermion superconductor beta-YbAlB4: A hard x-ray photoemission study
• Zeeman-driven Lifshitz transition: A scenario for the Fermi-surface reconstruction in YbRh2Si2
• Layered Kondo lattice model for quantum critical beta-YbAlB4
• Anisotropic heavy Fermi-liquid formation in the valence fluctuating $\alpha$-YbAlB${}_4$
• Evolution of c-f hybridization and two component Hall effect in β-YbAlB_4

Cited by in corpus (36)

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• Two scenarios for superconductivity in CeRh${}_2$As${}_2$
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• Crucial role of out-of-plane Sb-$p$ orbitals in Van Hove singularity formation and electronic correlation for superconducting Kagome metal CsV${}_3$Sb${}_5$
• Orbital susceptibility of T-graphene: Interplay of high-order van Hove singularities and Dirac cones
• Quantum Tricriticality in Antiferromagnetic Ising Model with Transverse Field: A Quantum Monte-Carlo Study
• T/B Scaling in beta-YbAlB4
• Theory of the Electron Spin Resonance in the Heavy Fermion Metal β-YbAlB4
• Hybridization fluctuations in the half-filled periodic Anderson model
• Kondo hybridization and quantum criticality in $\beta$-YbAlB${}_4$ by laser-ARPES
• Topological basis for understanding the behavior of the heavy-fermion metal $\beta -\mathrm{YbAl}{\mathrm{B}}_4$ under application of magnetic field and pressure
• Mechanism for enhancement of superconductivity in multi-band systems with odd parity hybridization
• Enhanced nematicity emerging from higher-order van Hove singularities
• Effect of Anisotropic Hybridization in YbAlB${}_4$ Probed by Linear Dichroism in Core-Level Hard X-ray Photoemission Spectroscopy
• Observation of a Critical Charge Mode in a Strange Metal
• Field evolution of quantum critical and heavy Fermi-liquid components in the magnetization of the mixed valence compound beta-YbAlB4
• The breaking of continuous scale invariance to discrete scale invariance: a universal quantum phase transition
• Giant isotropic Nernst effect in an anisotropic Kondo semimetal
• High temperature antiferromagnetism in Yb based heavy fermion systems proximate to a Kondo insulator
• Intact Quasiparticles at an Unconventional Quantum Critical Point
• Unveiling the Physics of the Mutual Interactions in Paramagnets
• The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
• On the landscape of scale invariance in quantum mechanics
• Differential entropy per particle as a probe of van Hove singularities and flat bands
• Quantum critical behaviour and Lifshitz transition in intermediate valence $\alpha$-YbAlB${}_4$
• Reply to Comment by S. Friedemann et al. on "Zeeman-Driven Lifshitz Transition: A Model for the Experimentally Observed Fermi-Surface Reconstruction in YbRh2Si2"
• Terahertz Electrodynamics of Mixed-Valent YbAl${}_3$ and LuAl${}_3$ Thin Films
• Visualizing near-coexistence of massless Dirac electrons and ultra-massive saddle point electrons
• Anisotropic hybridization in a new Kondo lattice compound CeCoInGa${}_3$
• Anisotropic transverse magnetoresistivity in alpha-YbAlB4
• Multiband electronic transport in $\alpha$-Yb${}_{1-x}$Sr${}_x$AlB${}_4$ [x = 0, 0.19(3)] single crystals
• Strong in-plane anisotropy in the electronic structure of fixed-valence $\beta$-LuAlB${}_4$