Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice

Abstract

We study the deconfined quantum critical point of the Kondo-Heisenberg lattice in three dimensions using a fermionic representation for the localized spins. The mean-field phase diagram exhibits a zero temperature quantum critical point separating a spin liquid phase where the hybridization vanishes and a Kondo phase where it does not. Two solutions can be stabilized in the Kondo phase, namely a uniform hybridization when the band masses of the conduction electrons and the spinons have the same sign, and a modulated one when they have opposite sign. For the uniform case, we show that above a very small temperature scale, the critical fluctuations associated with the vanishing hybridization have dynamical exponent z=3, giving rise to a resistivity that has a T log T behavior. We also find that the specific heat coefficient diverges logarithmically in temperature, as observed in a number of heavy fermion metals.

new Figure 2, new results on spin susceptibility, some minor changes to text

References in corpus (3)

• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• Transport anomalies in a simplified model for a heavy electron quantum critical point

Cited by in corpus (112)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Heavy Fermions and Quantum Phase Transitions
• Are non-Fermi-liquids stable to Cooper pairing?
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Critical fermi surfaces and non-fermi liquid metals
• Theory of a continuous Mott transition in two dimensions
• Frustration and the Kondo effect in heavy fermion materials
• Fermi-surface collapse and dynamical scaling near a quantum critical point
• Quantum Criticality and Global Phase Diagram of Magnetic Heavy Fermions
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Fermi surface in the absence of a Fermi liquid in the Kondo insulator SmB${}_6$
• Kondo Breakdown in Topological Kondo Insulators
• Orthogonal Metals: The simplest non-Fermi liquids
• Differential Conductance and Quantum Interference in Kondo Systems
• Divergence of the Magnetic Grüneisen Ratio at the Field-Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Strange metal without magnetic criticality
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Kondo Destruction and Quantum Criticality in Kondo Lattice Systems
• T=0 heavy fermion quantum critical point as an orbital selective Mott transition
• Quasiparticles beyond the Fermi liquid and heavy fermion criticality
• Layered Kondo lattice model for quantum critical beta-YbAlB4
• The modulated spin liquid: a new paradigm for URu${}_2$Si${}_2$
• Strong coupling theory of heavy fermion criticality
• Itinerant vs Localized Heavy-Electron Magnetism
• Tunneling into clean Heavy Fermion Compounds: Origin of the Fano Lineshape
• Selective Mott transition and heavy fermions
• Superconductivity in Ce- and U-based "122" heavy-fermion compounds
• Multi-scale fluctuations near a Kondo Breakdown Quantum Critical Point
• Violation of Wiedemann-Franz law at the Kondo breakdown quantum critical point
• Cellular Dynamical Mean Field Theory of the Periodic Anderson Model
• Local Temperatures Out of Equilibrium
• The thermopower as a signature of quantum criticality in heavy fermions
• Quantum phase transition from an antiferromagnet to a spin liquid in a metal
• Emergent Charge Fluctuations at the Kondo Breakdown of Heavy Fermions
• Magnetism and superconductivity in strongly correlated CeRhIn5
• Deconfined criticality and ghost Fermi surfaces at the onset of antiferromagnetism in a metal
• Separation of energy scales in undoped YbRh${}_2$Si${}_2$ under hydrostatic pressure
• Hall effect in heavy-fermion metals
• Kondo volume collapse, Kondo breakdown, and Fermi surface transitions in heavy-fermion metals
• Defects in Heavy-Fermion Materials: Unveiling Strong Correlations in Real Space
• Hidden Order Transition in URu2Si2 and the Emergence of a Coherent Kondo Lattice
• Kondo lattices with inequivalent local moments: Competitive vs. co-operative Kondo screening
• Quantum Quenches in a Holographic Kondo Model
• Quantum critical point in the Kondo-Heisenberg model on the honeycomb lattice
• Multiple temperature scales of the periodic Anderson model: the slave bosons approach
• Toward a New Microscopic Framework for Kondo Lattice Materials
• d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
• Theory of Scanning Tunneling Spectroscopy: from Kondo Impurities to Heavy Fermion Materials
• Quantum critical scaling and fluctuations in Kondo lattice materials
• Intrinsic bulk quantum oscillations in a bulk unconventional insulator SmB${}_6$
• Lifshitz transitions in a heavy-Fermion liquid driven by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model
• Grüneisen ratio at the Kondo breakdown quantum critical point
• Quantum Engineered Kondo Lattices
• D-wave superconductivity induced by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model
• Small to large Fermi surface transition in a single band model, using randomly coupled ancillas
• Fermi-Surface Reconstruction in the Periodic Anderson Model
• Alternative Kondo breakdown mechanism: Orbital-selective orthogonal metal transition
• Hybridization fluctuations in the half-filled periodic Anderson model
• Correlated metallic state in honeycomb lattice: Orthogonal Dirac semimetal
• Mutual information, quantum phase transition, and phase coherence in Kondo systems
• Model of Quantum Criticality in He3 bilayers Adsorbed on graphite
• Luttinger-Ward functional approach in the Eliashberg framework : A systematic derivation of scaling for thermodynamics near a quantum critical point
• Doped carrier formulation of the t-J model: the projection constraint and the effective Kondo-Heisenberg lattice representation
• Kondo Stripes in an Anderson-Heisenberg Model of Heavy Fermion Systems
• The thermopower as a fingerprint of the Kondo breakdown quantum critical point
• Equivalence of single-particle and transport lifetimes from hybridization fluctuations
• Friedel oscillation in non-Fermi liquid: Lesson from exactly solvable Hatsugai-Kohmoto model
• Scanning Tunneling Shot Noise Spectroscopy in Kondo Systems
• Variational cluster approach to superconductivity and magnetism in the Kondo lattice model
• Pairing symmetry of heavy fermion superconductivity in the two-dimensional Kondo-Heisenberg lattice model
• Pair-density-wave and $s\pm \mathrm{i}d$ superconductivity in a strongly coupled, lightly doped Kondo insulator
• Disorder and quasiparticle interference in heavy-fermion materials
• Frustrated Kondo impurity triangle: A simple model of deconfinement
• Break up of heavy fermions at an antiferromagnetic instability
• Topological defects of Néel order and Kondo singlet formation for Kondo-Heisenberg model on a honeycomb lattice
• Finite temperature physics of $1D$ topological Kondo insulator: Stable Haldane phase, Emergent energy scale and Beyond
• Modulated Spin Liquid and Magnetic Order from a Kondo-Heisenberg model applied to $UR{u}_{2}S{i}_2$
• Solvable Theory of a Strange Metal at the Breakdown of a Heavy Fermi Liquid
• Development of long-range phase coherence on the Kondo lattice
• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• T/B scaling of magnetization in the mixed valent compound β-YbAlB4
• Doping-induced band shifts and Lifshitz transitions in heavy-fermion metals
• Gauge Invariance and Spinon-Dopon Confinement in the t-J Model: implications for Fermi Surface Reconstruction in the Cuprates
• Quantum Boltzman equation study for the Kondo breakdown quantum critical point
• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
• Signature of Kondo breakdown quantum criticality in optical conductivity
• Local Quantum Criticality of a One-Dimensional Kondo Insulator Model
• Fermionology in the Kondo-Heisenberg model: the case of CeCoIn${}_5$
• Competition between Kondo and RKKY correlations in the presence of strong randomness
• Novel duality in disorder driven local quantum criticality
• Fractionalized Fermi liquids and the cuprate phase diagram
• Fermi surface enlargement on the Kondo lattice
• Activation gap in the specific heat measurements for He${}^3$ bi-layers
• Critical particle-hole composites at twice the Fermi wave vector in U(1) spin liquid with a Fermi surface
• Thermodynamic signatures of a fractionalized Fermi liquid
• He3 bi-layers as a simple example of de-confinement
• Preformed heavy-electrons at the Quantum Critical Point in heavy fermion compounds
• Extended dual description of Mott transition beyond two-dimensional space
• Numerical signatures of ultra-local criticality in a one dimensional Kondo lattice model
• Evidence of electron fractionalization in the Hall coefficient at Mott criticality
• NMR Studies of Field Induced Magnetism in CeCoIn${}_5$
• Magnetic field induced quantum phase transitions in the two-impurity Anderson model
• Role of vertex corrections in the $T$-linear resistivity at the Kondo breakdown quantum critical point
• Heavy Fermion Quantum Criticality
• Antiferromagnetic phase diagram of the cuprate superconductors
• Superconductivity from a non-Fermi liquid metal : Kondo fluctuation mechanism in the slave-fermion theory
• Orthogonal Dirac semimetal on honeycomb lattice and the electron spectral function in orthogonal metallic states
• Magnetism, non-Fermi-liquid behavior and deconfinement in Kondo lattices
• Near-flat-band-driven violation of Pauli limit in heavy fermion superconductors
• Emergence of topological defects and spin liquid in a two-orbital spin-fermion model on the honeycomb lattice
• Absence of coherent peaks in a $Z_2$ fractionalized BCS superconducting state