Quantum Criticality without Tuning in the Mixed Valence Compound beta-YbAlB4

Abstract

Fermi liquid theory, the standard theory of metals, has been challenged by a number of observations of anomalous metallic behavior found in the vicinity of a quantum phase transition. The breakdown of the Fermi liquid is accomplished by fine-tuning the material to a quantum critical point using a control parameter such as the magnetic field, pressure, or chemical composition. Our high precision magnetization measurements of the ultrapure f-electron based superconductor β-YbAlB4 demonstrate a scaling of its free energy indicative of zero-field quantum criticality without tuning in a metal. The breakdown of Fermi-liquid behavior takes place in a mixed-valence state, in sharp contrast with other known examples of quantum critical f-electron systems that are magnetic Kondo lattice systems with integral valence.

26 pages, 7 figures including supporting online matelials

References in corpus (8)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Fractionalized Fermi liquids
• Critical fermi surfaces and non-fermi liquid metals
• Kondo resonance narrowing in d- and f-electron systems
• Relevance of ferromagnetic correlations for the Electron Spin Resonance in Kondo lattice systems
• Layered Kondo lattice model for quantum critical beta-YbAlB4
• Evidence for the existence of Kondo coupled resonant modes in heavy fermions

Cited by in corpus (110)

• Unconventional Fermi surface in an insulating state
• Quantum phases driven by strong correlations
• Strongly Correlated Materials
• Flat bands, strange metals, and the Kondo effect
• Frustration and quantum criticality
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• Tomonaga-Luttinger Liquid Behavior and Spinon Confinement in YbAlO${}_3$
• Monte Carlo Studies of Quantum Critical Metals
• Strange metal without magnetic criticality
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Characteristic signatures of quantum criticality driven by geometrical frustration
• Quantum bicriticality in the heavy-fermion metamagnet YbAgGe
• Disorder in a Quantum Critical Superconductor
• Emergent spin-valley-orbital physics by spontaneous parity breaking
• Spontaneous multipole ordering by local parity mixing
• β-YbAlB4: a critical nodal metal
• Anomaly matching and symmetry-protected critical phases in $SU(N)$ spin systems in 1+1 dimensions
• Observing the origin of superconductivity in quantum critical metals
• Robustness of Quantum Criticality of Valence Fluctuations
• Microwave spectroscopy on heavy-fermion systems: probing the dynamics of charges and magnetic moments
• Model for Ferromagnetic Quantum Critical Point in a 1D Kondo Lattice
• Pressure-Induced Valence Crossover and Novel Metamagnetic Behavior near the Antiferromagnetic Quantum Phase Transition of YbNi${}_3$Ga${}_9$
• Anisotropic heavy Fermi-liquid formation in the valence fluctuating $\alpha$-YbAlB${}_4$
• Two scenarios for superconductivity in CeRh${}_2$As${}_2$
• Reentrant valence transition in EuO at high pressures: beyond the bond-valence model
• Unconventional Quantum Criticality due to Critical Valence Transition
• Pronounced - Log T Divergence in Specific Heat of Nonmetallic CeOBiS${}_2$: A Mother Phase of BiS${}_2$-Based Superconductor
• Kondo destruction and valence fluctuations in an Anderson model
• Valence Change Driven by Constituent Element Substitution in the Mixed-Valence Quasicrystal and Approximant Au-Al-Yb
• Anomalous superfluid density in quantum critical superconductors
• Pressure-Driven Quantum Criticality and T/H Scaling in the Icosahedral Au-Al-Yb Approximant
• Quantum-critical scale invariance in a transition metal alloy
• Unusual weak magnetic exchange in two different structure types: YbPt${}_2$Sn and YbPt${}_2$In
• Non-Fermi liquid behavior with and without quantum criticality in Ce(1-x)Yb(x)CoIn(5)
• Unconventional fully-gapped superconductivity in the heavy-fermion metal CeCu${}_2$Si${}_2$
• New Universality Class of Quantum Criticality in Ce- and Yb-based Heavy Fermions
• Quantum Tricriticality in Antiferromagnetic Ising Model with Transverse Field: A Quantum Monte-Carlo Study
• Charge-Doping driven Evolution of Magnetism and non-Fermi-Liquid Behavior in the Filled Skutterudite CePt4Ge12-xSbx
• T/B Scaling in beta-YbAlB4
• Two types of superconducting domes in unconventional superconductors
• Thermoelectric response near a quantum critical point of beta-YbAlB4 and YbRh2Si2: A comparative study
• Magnetic order induced by Fe substitution of Al site in the heavy fermion systems alpha-YbAlB4 and beta-YbAlB4
• Crossover from a heavy fermion to intermediate valence state in noncentrosymmetric Yb2Ni12(P,As)7
• The Dominant Role of Critical Valence Fluctuations on High $T_{\mathrm{c}}$ Superconductivity in Heavy Fermions
• Origin of Quantum Criticality in Yb-Al-Au Approximant Crystal and Quasicrystal
• The Magnetic Grüneisen Parameter for Model Systems
• New state of matter: heavy-fermion systems, quantum spin liquids, quasicrystals, cold gases, and high temperature superconductors
• Theory of the Electron Spin Resonance in the Heavy Fermion Metal β-YbAlB4
• Pristine quantum criticality in a Kondo semimetal
• Contiguous 3d and 4f magnetism: towards strongly correlated 3d electrons in YbFe2Al10
• Kondo hybridization and quantum criticality in $\beta$-YbAlB${}_4$ by laser-ARPES
• Ubiquity of Unconventional Phenomena Associated with Critical Valence Fluctuations in Heavy Fermion Metals
• Classification of materials with divergent magnetic Grüneisen parameter
• Novel Valence Transition in Elemental Metal Europium around 80 GPa
• Pressure-induced ferromagnetism with strong Ising-type anisotropy in YbCu${}_2$Si${}_2$
• Topological basis for understanding the behavior of the heavy-fermion metal $\beta -\mathrm{YbAl}{\mathrm{B}}_4$ under application of magnetic field and pressure
• Anomalous specific heat behaviour in the quadrupolar Kondo system PrV2Al20
• Critical charge fluctuations in a pseudogap Anderson model
• Unveiling Quadrupolar Kondo Effect in the Heavy Fermion Superconductor PrV${}_2$Al${}_{20}$
• Effect of Anisotropic Hybridization in YbAlB${}_4$ Probed by Linear Dichroism in Core-Level Hard X-ray Photoemission Spectroscopy
• From local moment to mixed-valence regime in Ce(1-x)Yb(x)CoIn5 alloys
• Synchrotron X-ray Spectroscopy Study on the Valence State in alpha- and beta-YbAlB4 at Low Temperatures and High Magnetic Fields
• High Pressure Measurements of the Resistivity of $\beta$-YbAlB${}_4$
• 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
• Field-angle-resolved landscape of non-Fermi-liquid behavior in the quasi-kagome Kondo Lattice CeRhSn
• Symplectic large-N theory of topological heavy-fermion semiconductors
• Effects of Crystalline Electronic Field and Onsite Interorbital Interaction in Yb-based Quasicrystal and Approximant Crystal
• Charge Transfer Effect under Odd-Parity Crystalline Electric Field: Divergence of Magnetic Toroidal Fluctuation in $\beta$-YbAlB${}_4$
• Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model
• Zero-Field Ambient-Pressure Quantum Criticality in the Stoichiometric Non-Fermi Liquid System CeRhBi
• Half-filled Kondo lattice on the honeycomb lattice
• Giant isotropic Nernst effect in an anisotropic Kondo semimetal
• Crossover between Fermi liquid and non-Fermi liquid behavior in the non-centrosymmetric compound Yb${}_2$Ni${}_{12}$P${}_7$
• T/B scaling of magnetization in the mixed valent compound β-YbAlB4
• High temperature antiferromagnetism in Yb based heavy fermion systems proximate to a Kondo insulator
• A Local Quantum Phase Transition in YFe${}_2$Al${}_{10}$
• Pressure-induced magnetic transition exceeding 30 K in the Yb-based heavy fermion superconductor $\beta$-YbAlB${}_4$
• Intact Quasiparticles at an Unconventional Quantum Critical Point
• Gappability Index for Quantum Many-Body Systems
• Strongly correlated Fermi systems as a new state of matter
• Unveiling the Physics of the Mutual Interactions in Paramagnets
• T/B scaling without quasiparticle mass divergence: YbCo2Ge4
• Quasi-one-dimensional quantum spin liquid in the $\mathrm{Cu}({\mathrm{C}}_4{\mathrm{H}}_4{\mathrm{N}}_2)(\mathrm{N}{\mathrm{O}}_3{)}_2$ insulator
• The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
• Universal $T/B$ scaling behavior of heavy fermion compounds
• Wide Quantum Critical Region of Valence Fluctuations: Origin of Robust Quantum Criticality in Quasicrystal Yb15Al34Au51 under Pressure
• Interpretation of some Yb-based valence-fluctuating crystals as approximants to a dodecagonal quasicrystal
• Quantum critical behaviour and Lifshitz transition in intermediate valence $\alpha$-YbAlB${}_4$
• Quantum Criticality and Inhomogeneous Magnetic Order in Fe-doped alpha-YbAlB4
• On anomalous temperature dependence of relaxation rate measured by \muSR in α-YbAl_{0.986}Fe_{0.014}B_4
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• Precursor to Quantum Criticality in Ce-Au-Al Quasicrystal Approximants
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• Extended dual description of Mott transition beyond two-dimensional space
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• Majorana approach to the stochastic theory of lineshapes
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• Ultrasound Response in Quantum Critical $\beta$-YbAlB${}_4$ and $\alpha$-YbAl${}_{0.986}$Fe${}_{0.014}$B${}_4$
• Theory for Non-Fermi Liquid Temperature Dependence in Resistivity of Ce_xLa_{1-x} Cu_{5.62} Au_{0.38} (x=0.02-0.10) on the Local Quantum Valence Criticality of Ce Impurities
• Elastic Softening in Quantum Critical Yb-Al-Au Approximant Crystal and Quasicrystal
• Quantum Critical Behavior in the Asymptotic Limit of High Disorder: Entropy Stabilized NiCoCr0.8 Alloys
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• Anisotropic transverse magnetoresistivity in alpha-YbAlB4
• Strong in-plane anisotropy in the electronic structure of fixed-valence $\beta$-LuAlB${}_4$
• Spin liquid and ferroelectricity close to a quantum critical point in PbCuTe${}_2$O${}_6$
• Quantum Valence Criticality in Heavy Fermions on Periodic and Aperiodic Crystals
• Charge Transfer Effect under Odd-Parity Crystalline Electric Field