Locally critical quantum phase transitions in strongly correlated metals

Abstract

When a metal undergoes a continuous quantum phase transition, non-Fermi liquid behaviour arises near the critical point. It is standard to assume that all low-energy degrees of freedom induced by quantum criticality are spatially extended, corresponding to long-wavelength fluctuations of the order parameter. However, this picture has been contradicted by recent experiments on a prototype system: heavy fermion metals at a zero-temperature magnetic transition. In particular, neutron scattering from CeCu${}_{6-x}$Au${}_x$ has revealed anomalous dynamics at atomic length scales, leading to much debate as to the fate of the local moments in the quantum-critical regime. Here we report our theoretical finding of a locally critical quantum phase transition in a model of heavy fermions. The dynamics at the critical point are in agreement with experiment. We also argue that local criticality is a phenomenon of general relevance to strongly correlated metals, including doped Mott insulators.

20 pages, 3 figures; extended version, to appear in Nature

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• Conductivity close to antiferromagnetic criticality
• Magnetic droplets in a metal close to a ferromagnetic quantum critical point
• Quantum critical Mott transitions in a bilayer Kondo insulator-metal model system
• CeCu_2Ge_2: Challenging our Understanding of Quantum Criticality
• Antiferromagnetic phase of the Kondo-insulator
• Quantum criticality in layered CeRhIn_{5-x}Sn_x compared with cubic CeIn$_{3-x}Sn_x
• Dynamical Mean-Field Theory - from Quantum Impurity Physics to Lattice Problems
• PrBi: Topology meets quadrupolar degrees of freedom
• Dimensional crossover in quantum critical metallic magnets
• Electronic nature of the lock-in magnetic transition in CeXAl4Si2
• Hierarchical entanglement shells of multichannel Kondo clouds
• Pairing symmetry of heavy fermion superconductivity in the two-dimensional Kondo-Heisenberg lattice model
• Localized-to-itinerant transition preceding antiferromagnetic quantum critical point and gapless superconductivity in CeRh${}_{0.5}$Ir${}_{0.5}$In${}_5$
• Phase evolution of the two-dimensional Kondo lattice model near half-filling
• Topological defects of Néel order and Kondo singlet formation for Kondo-Heisenberg model on a honeycomb lattice
• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Global Phase Diagram and Momentum Distribution of Single-Particle Excitations in Kondo insulators
• Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid $\alpha$-RuCl${}_3$
• Breakdown of heavy quasiparticles in a honeycomb Kondo lattice: A quantum Monte Carlo study
• A microscopic Kondo lattice model for the heavy fermion antiferromagnet CeIn${}_3$
• Valence Fluctuations in the Extended Anderson Lattice Model with Quasiperiodicity
• Heavy Fermion scaling: Uranium versus Cerium and Ytterbium compounds
• Effects of Berry phase and instantons in one dimensional Kondo-Heisenberg model
• Break up of heavy fermions at an antiferromagnetic instability
• Unusual Coupling Between Field-induced Spin Fluctuations and Spin Density Wave in Intermetallic CeAg2Ge2
• Controlled expansion for transport in a class of non-Fermi liquids
• Phase diagram of the anisotropic Kondo chain
• A Fast Impurity Solver Based on Gutzwiller variational approach
• Direct Evidence for the Existence of Heavy Quasiparticles in the Magnetically Ordered Phase of CeRhIn${}_5$
• Filling-enforced Kondo semimetals in two-dimensional non-symmorphic crystals
• Hyperfine Couplings as a Probe of Orbital Anisotropy in Heavy Fermion Materials
• Zero-Field Ambient-Pressure Quantum Criticality in the Stoichiometric Non-Fermi Liquid System CeRhBi
• Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
• Pair density wave, unconventional superconductivity, and non-Fermi liquid quantum critical phase in frustrated Kondo lattice
• Topological crossovers near a quantum critical point
• Skyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb lattice
• Modulated Spin Liquid and Magnetic Order from a Kondo-Heisenberg model applied to $UR{u}_{2}S{i}_2$
• First order quantum phase transitions
• Discontinuous Hall coefficient at the quantum critical point in YbRh2Si2
• Non-Fermi-liquid behavior in Ce(Ru${}_{1-x}$Fe${}_x$)${}_2$Ge${}_2$: cause and effect
• On the concept of effective temperature in current carrying quantum critical states
• Strange metal state near a heavy-fermion quantum critical point
• Truncated mass divergence in a Mott metal
• Critical quasiparticles in single-impurity and lattice Kondo models
• Electro-nuclear transition into a spatially modulated magnetic state in YbRh${}_2$Si${}_2$
• Finite temperature physics of $1D$ topological Kondo insulator: Stable Haldane phase, Emergent energy scale and Beyond
• Unconventional and conventional quantum criticalities in CeRh${}_{0.58}$Ir${}_{0.42}$In${}_5$
• Bose-Fermi Anderson Model with SU(2) Symmetry: Continuous-Time Quantum Monte Carlo Study
• Quantum critical quasiparticle scattering within the superconducting state of CeCoIn5
• Numerical Renormalization Group for Impurity Quantum Phase Transitions: Structure of Critical Fixed Points
• Unusual Oscillation in Tunneling Magnetoresistance near a Quantum Critical Point in Sr${}_3$Ru${}_2$O${}_7$
• Nearly-degenerate $p_x+i{p}_y$ and $d_{x^2-y^2}$ pairing symmetry in the heavy fermion superconductor YbRh${}_2$Si${}_2$
• Quantization and variational problem of the Gubser-Rocha Einstein-Maxwell-Dilaton model, conformal and non-conformal deformations, and its proper thermodynamics
• Holographic model for antiferromagnetic quantum phase transition induced by magnetic field
• A Local Quantum Phase Transition in YFe${}_2$Al${}_{10}$
• Non-Fermi liquid behavior and quantum criticality in cubic heavy fermion systems with non-Kramers multipolar local moments
• Local quantum critical point and non-Fermi liquid properties
• Continuous-Time Monte Carlo study of the pseudogap Bose-Fermi Kondo model
• Further analysis of the quantum critical point of Ce${}_{1-x}$La${}_x$Ru${}_2$Si${}_2$
• Fermi Surface and Magnetism in the Kondo lattice: A Continuum Field Theory Approach
• Universality of Heisenberg-Ising chain in external fields
• Is the optical conductivity of heavy fermion strange metals Planckian?
• Impurity resonant state in d-wave superconductors: in favor of a Kondo-like response
• Impurities near an Antiferromagnetic-Singlet Quantum Critical Point
• Holographic antiferromganetic quantum criticality and AdS${}_2$ scaling limit
• Pressure induced multicriticality and electronic instability in quasi-kagome ferromagnet URhSn
• Amplified multipartite entanglement witnessed in a quantum critical metal
• Cross-over behavior of the localized to itinerant transition of 5f electrons in the antiferromagnetic Kondo lattice USb2
• Magnetic excitations in the spinel compound Li${}_x$[Mn${}_{1.96}$Li${}_{0.04}$]O${}_4$ (x= 0.2, 0.6, 0.8, 1.0): how a classical system can mimic quantum critical scaling
• Transient phases and dynamical transitions in the post quench evolution of the generalized Bose-Anderson model
• Doping-induced band shifts and Lifshitz transitions in heavy-fermion metals
• Quantum criticality in the two-channel pseudogap Anderson model: A test of the non-crossing approximation
• Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
• Spin and holographic metals
• Quantum Criticality Enabled by Intertwined Degrees of Freedom
• ${}^{75}$As NMR study of the antiferromagnetic Kondo lattice compound CeNiAsO
• An emerging global picture of heavy fermion physics
• Hybridization oscillation in the one-dimensional Kondo-Heisenberg model with Kondo holes
• Phase diagram of Kondo-Heisenberg model on honeycomb lattice with geometrical frustration
• Kondo physics in a dissipative environment
• Bose-Fermi Kondo model with Ising anisotropy: cluster-Monte Carlo approach
• Structural and Magnetic Phase Transitions in CeCu${}_{6-x}{T}_x$ ($T$ = Ag, Pd)
• Fermi Surface Variation of Ce 4f-electrons in Hybridization Controlled Heavy-Fermion Systems
• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
• Uniaxial stress effect on the quasi-one-dimensional Kondo lattice CeCo${}_2$Ga${}_8$
• Magnetic properties of a Kondo insulator with RKKY interaction: Extended dynamical mean field study
• Scaling Between Periodic Anderson and Kondo Lattice Models
• Frustration-induced quantum criticality in Ni-doped CePdAl as revealed by the $\mu$SR technique
• Quantum Chaos of the Bose-Fermi Kondo model at the intermediate temperature
• Signature of Kondo breakdown quantum criticality in optical conductivity
• Scaling of the magnetic entropy and magnetization in YbRh_2(Si_{0.95}Ge_{0.05})_2
• Ultrafast Optical Control of Magnetic Order and Fermi Surface Topology at a Quantum Critical Point
• The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
• Quasiparticle Band Structure and Spin Excitation Spectrum of the Kondo Lattice
• Asymmetry effects on the phases of RKKY-coupled two-impurity Kondo systems
• Competition between Kondo and RKKY correlations in the presence of strong randomness
• Quantum critical fluctuations in an Fe-based superconductor
• Shot noise and universal Fano factor as characterization of strongly correlated metals
• Quantum Critical Phase and Lifshitz Transition in an Extended Periodic Anderson Model
• Quantum critical behavior in Ce(Fe${}_{0.76}$Ru${}_{0.24}$)${}_2$Ge${}_2$: the full story
• Evolution of the partially frustrated magnetic order in CePd${}_{1-x}$Ni${}_x$Al
• Novel duality in disorder driven local quantum criticality
• Tuning low-energy scales in YbRh${}_2$Si${}_2$ by non-isoelectronic substitution and pressure
• Robust Fermi-Surface Morphology of CeRhIn${}_5$ across the Putative Field-Induced Quantum Critical Point
• Magnetic and structural quantum phase transitions in CeCu6-xAux are independent
• Magnetic Single-Electron Transistor as a Tunable Model System for Kondo-Destroying Quantum Criticality
• Evidence for charge delocalization crossover in the quantum critical superconductor CeRhIn${}_5$
• Quantum Phase Transition in the Itinerant Antiferromagnet (V0.9Ti0.1)2O3
• Local Quantum Criticality of a One-Dimensional Kondo Insulator Model
• Low-temperature thermopower study of YbRh2Si2
• Diagrammatic perturbation theory and the pseudogap
• Interplay between charge, magnetic and superconducting order in a Kondo lattice with an attractive Hubbard interaction
• High-temperature signatures of quantum criticality in heavy fermion systems
• Critical field theory of the Kondo lattice model in two dimensions
• Underscreened Kondo impurities in a Luttinger liquid
• Emergent Topological Semimetal
• Abnormal planar Hall effect and disentanglement of incoherent and coherent transport in a Kondo lattice
• Inexorable Edge Kondo Breakdown in Topological Kondo Insulators
• Semi-local Quantum Criticality and the Instability of Extremal Planar Horizons
• Fermi surface enlargement on the Kondo lattice
• Dynamic zero modes of Dirac fermions and competing singlet phases of antiferromagnetic order
• Equilibrium Dynamics of the Sub-Ohmic Spin-boson Model Under Bias
• Activation gap in the specific heat measurements for He${}^3$ bi-layers
• Thermodynamic signatures of a fractionalized Fermi liquid
• The Realization of Artificial Kondo Lattices in Nanostructured Arrays
• Fractional Fermi liquid in a generalized $t-J$ model
• Evidence for magnetic clusters in stoichiometric quantum critical CeRu${}_2$Si${}_2$
• Magnetic Field Driven Electronic Singularities through Metamagnetic Phenomena: Case of the Heavy Fermion Antiferromagnet Ce(Ru0.92Rh0.08)2Si2
• The Future of the Correlated Electron Problem
• Fractionalized Fermi liquids and the cuprate phase diagram
• Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem
• Non-linear quantum critical dynamics and fluctuation-dissipation ratios far from equilibrium
• The Kondo lattice model from strong-coupling viewpoint
• Infinite critical boson non-Fermi liquid on heterostructure interfaces
• Magnetism trends in doped Ce-Cu intermetallics in the vicinity of quantum criticality: realistic Kondo lattice models based on dynamical mean-field theory
• Interplay of spin gap and nanoscopic quantum fluctuations in intermetallic CeCu2Ge2
• Quantum impurity model for two-stage multipolar ordering and Fermi surface reconstruction
• Kondo breakdown transitions and phase-separation tendencies in valence-fluctuating heavy-fermion materials
• Preformed heavy-electrons at the Quantum Critical Point in heavy fermion compounds
• Quantum criticality and the break-up of the Kondo pseudo-potential
• Critical Kondo destruction and the violation of the quantum-to-classical mapping of quantum criticality
• Enhancing exotic quantum fluctuations in a strongly entangled cavity BEC system
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
• Quasi-two-dimensional Fermi surfaces with localized $f$ electrons in the layered heavy-fermion compound CePt${}_2$In${}_7$
• Global phase diagram of a spin-orbit-coupled Kondo lattice model on the honeycomb lattice
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Missing spectral weight in a heavy-fermion system far above Néel temperature
• Destruction of the Kondo effect in a multi-channel Bose-Fermi Kondo model
• Observation of Resonance of Kagome Flat Band Doublet
• Site Specific Knight Shift Measurements of the Dilute Kondo lattice System Ce${}_{1-x}$La${}_x$CoIn${}_5$
• Spontaneous interlayer coherence in bilayer Kondo systems
• Artificial scaling laws of the dynamical magnetic susceptibility in heavy-fermion systems
• Critical local moment fluctuations and enhanced pairing correlations in a cluster Anderson model
• Converse effect of pressure on quadrupolar and magnetic transition in Ce${}_3$Pd${}_{20}$Si${}_6$
• Quantum critical dynamics for a prototype class of insulating antiferromagnets
• Strange-metal behavior without fine-tuning in PrV2Al20
• Numerical signatures of ultra-local criticality in a one dimensional Kondo lattice model
• Disorder effects in the quantum Heisenberg model: An Extended Dynamical mean-field theory analysis
• Emergent soft-gap Anderson models at quantum criticality in a lattice Hamiltonian within dynamical mean field theory
• ${}^{105}$Pd NMR and NQR study of the cubic heavy fermion system Ce${}_3$Pd${}_{20}$Si${}_6$
• Evidence of electron fractionalization in the Hall coefficient at Mott criticality
• Magnetic field induced quantum phase transitions in the two-impurity Anderson model
• Quantum Fisher information in a strange metal
• Observation of field induced anomalous quantum criticality in Ce0.6Y0.4NiGe2 compound
• Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice
• Transition from a strong-coupling fixed point to an intermediate-coupling fixed point in a single-channel SU(N) Kondo model: role of the filling and two-stage screening
• Electrical resistivity ofYb(Rh1-xCox)2Si2 single crystals at low temperatures
• Kondo breakdown in multi-orbital Anderson lattices induced by destructive hybridization interference
• CeCu${}_2$Si${}_2$ and YbRh${}_2$Si${}_2$: Strange Cases of Heavy-Fermion Superconductivity
• Stoner instability revisited: Emergence of local quantum criticality?
• Local Classical and Quantum Criticality due to Electron-Vibration Interaction
• Quantum criticality in Yb(Rh0.97Co0.03)2Si2 probed by low-temperature resistivity
• A Quantitative Solution to the Kondo Lattice Problem
• Antiferromagnetic phase diagram of the cuprate superconductors
• Kondo frustration via charge fluctuations: a route to Mott localisation
• Anomalous Hall effect and quantum criticality in geometrically frustrated heavy fermion metals
• Tunable phase transition in a dissipative two-spin system: A renormalization group study
• Multiple Lifshitz transitions driven by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model
• Shubnikov-de Haas measurements on LuRh2Si2
• Power-Law Spectra and Asymptotic $\omega /T$ Scaling in the Orbital-Selective Mott Phase of a Three-Orbital Hubbard Model
• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
• Localized moments and the stability of antiferromagnetic order in Yb3Pt4
• Periodic dynamics in an Ising chain with a quadratic transverse field
• Nonlocal pseudospin dynamics in a quantum Ising chain
• Universal Mott quantum criticality in a modified periodic Anderson model
• On non-canonical degrees of freedom
• The Sound of Electrons Shattering: Current Noise Composition Laws for Electron Fractionalization
• Magnetic Field Dependence of the Spin Fluctuations in CeCu${}_{5.8}$Ag${}_{0.2}$
• Non-uniform phases in metals with local moments
• Selective Kondo screening and strange metallicity by sliding Dirac semimetals
• Emergence of localized magnetic moments near antiferromagnetic quantum criticality
• Emergent Chiral Metal near a Kondo Breakdown Quantum Phase Transition
• Phase transition and fractionalization in superconducting Kondo lattice model
• Magnetic transition and spin fluctuations in the unconventional antiferromagnetic compound Yb3Pt4
• Near-flat-band-driven violation of Pauli limit in heavy fermion superconductors
• Photoemission insights into lanthanide-based crystals
• The fate of Kondo resonances in certain Kondo lattices: a ``poor woman's'' scaling analysis
• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model
• Carrier-doping effect and anomalous transport properties in Ni-doped CeCoIn5 investigated by Hall resistivity measurements
• Phases and phase transitions of an $S=3/2$ chain on metallic and semi-metallic surfaces