Layered Kondo lattice model for quantum critical beta-YbAlB4

Abstract

We analyze the magnetic and electronic properties of the quantum critical heavy fermion superconductor beta-YbAlB4, calculating the Fermi surface and the angular dependence of the extremal orbits relevant to the de Haas--van Alphen measurements. Using a combination of the realistic materials modeling and single-ion crystal field analysis, we are led to propose a layered Kondo lattice model for this system, in which two dimensional boron layers are Kondo coupled via interlayer Yb moments in a $J_z=\pm 5/2$ state. This model fits the measured single ion magnetic susceptibility and predicts a substantial change in the electronic anisotropy as the system is pressure-tuned through the quantum critical point.

Fig.3 and 4 have been updated, typos corrected in v2. Published at http://link.aps.org/doi/10.1103/PhysRevLett.102.077202

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Cited by in corpus (39)

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• Evidence for a Non-Fermi-Liquid Phase in Ge-Substituted YbRh2Si2
• Strong valence fluctuation in the quantum critical heavy fermion superconductor beta-YbAlB4: A hard x-ray photoemission study
• Strange metal without magnetic criticality
• β-YbAlB4: a critical nodal metal
• Model for Ferromagnetic Quantum Critical Point in a 1D Kondo Lattice
• Anisotropic heavy Fermi-liquid formation in the valence fluctuating $\alpha$-YbAlB${}_4$
• Determining the in-plane orientation of the ground-state orbital of CeCu2Si2
• muSR and inelastic neutron scattering investigations of the caged type Kondo semimetals: CeT2Al10 (T=Fe, Ru and Os)
• Another dimension: investigations of molecular magnetism using muon-spin relaxation
• Hysteretic magnetoresistance and unconventional anomalous Hall effect in the frustrated magnet TmB_4
• The role of f -electrons in the Fermi surface of the heavy fermion superconductor beta-YbAlB4
• T/B Scaling in beta-YbAlB4
• Magnetic order induced by Fe substitution of Al site in the heavy fermion systems alpha-YbAlB4 and beta-YbAlB4
• Theory of the Electron Spin Resonance in the Heavy Fermion Metal β-YbAlB4
• Contiguous 3d and 4f magnetism: towards strongly correlated 3d electrons in YbFe2Al10
• Kondo-Ising and Tight-Binding Models for TmB4
• The Role of Crystal Symmetry in the Magnetic Instabilities of $\beta$-YbAlB${}_4$ and $\alpha$-YbAlB${}_4$
• Kondo hybridization and quantum criticality in $\beta$-YbAlB${}_4$ by laser-ARPES
• The Kondo effect in the presence of Van Hove singularities: A numerical renormalization group study
• Topological basis for understanding the behavior of the heavy-fermion metal $\beta -\mathrm{YbAl}{\mathrm{B}}_4$ under application of magnetic field and pressure
• 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
• Charge Transfer Effect under Odd-Parity Crystalline Electric Field: Divergence of Magnetic Toroidal Fluctuation in $\beta$-YbAlB${}_4$
• The Kondo-lattice state and non-Fermi-liquid behavior in the presence of Van Hove singularities
• Intact Quasiparticles at an Unconventional Quantum Critical Point
• High temperature antiferromagnetism in Yb based heavy fermion systems proximate to a Kondo insulator
• Low temperature magnetization of the quantum critical heavy fermion superconductor $\beta$-YbAlB${}_4$
• Quantum critical behaviour and Lifshitz transition in intermediate valence $\alpha$-YbAlB${}_4$
• Ultrasound Response in Quantum Critical $\beta$-YbAlB${}_4$ and $\alpha$-YbAl${}_{0.986}$Fe${}_{0.014}$B${}_4$
• 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${}_4$
• Charge Transfer Effect under Odd-Parity Crystalline Electric Field
• Quantum Valence Criticality in Heavy Fermions on Periodic and Aperiodic Crystals