Weak magnetism and non-Fermi liquids near heavy-fermion critical points

Abstract

This paper is concerned with the weak-moment magnetism in heavy-fermion materials and its relation to the non-Fermi liquid physics observed near the transition to the Fermi liquid. We explore the hypothesis that the primary fluctuations responsible for the non-Fermi liquid physics are those associated with the destruction of the large Fermi surface of the Fermi liquid. Magnetism is suggested to be a low-energy instability of the resulting small Fermi surface state. A concrete realization of this picture is provided by a fractionalized Fermi liquid state which has a small Fermi surface of conduction electrons, but also has other exotic excitations with interactions described by a gauge theory in its deconfined phase. Of particular interest is a three-dimensional fractionalized Fermi liquid with a spinon Fermi surface and a U(1) gauge structure. A direct second-order transition from this state to the conventional Fermi liquid is possible and involves a jump in the electron Fermi surface volume. The critical point displays non-Fermi liquid behavior. A magnetic phase may develop from a spin density wave instability of the spinon Fermi surface. This exotic magnetic metal may have a weak ordered moment although the local moments do not participate in the Fermi surface. Experimental signatures of this phase and implications for heavy-fermion systems are discussed.

arXiv comment20 pages, 8 figures; (v2) includes expanded discussion and solution of quantum Boltzmann equation

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• Doping driven Small-to-Large Fermi surface transition and d-wave superconductivity in a two-dimenional Kondo lattice
• Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice
• Evidence for freezing of charge degrees of freedom across a critical point in CeCoIn${}_5$
• Vortex description of the fractionalized phase in exciton bose condensate
• Magnetic field induced quantum phase transitions in the two-impurity Anderson model
• Numerical signatures of ultra-local criticality in a one dimensional Kondo lattice model
• Confinement/deconfinement transition from symmetry breaking in gauge/gravity duality
• Partial Kondo Screening and Anomalous Thermal Conductance
• Multiple Lifshitz transitions driven by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model
• Spin nematic order and superconductivity in $J_1$-$J_2$ Kondo lattice model on square lattice
• Magnon-induced superconductivity in field-cooled spin-1/2 antiferromagnets
• Ultraviolet/infrared mixing-driven suppression of Kondo screening in the antiferromagnetic quantum critical metal
• A Holographic Two-Impurity Kondo Model
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Non-Fermi Liquids from Subsystem Symmetry Breaking in van der Waals Multilayers
• Resistivity of a $2d$ quantum critical metal
• Quantum criticality in Yb(Rh0.97Co0.03)2Si2 probed by low-temperature resistivity
• Superconductivity from a non-Fermi liquid metal : Kondo fluctuation mechanism in the slave-fermion theory
• Kondo Lattice without Nozieres Exhaustion Effect
• Computing quantum phase transitions
• Emergent p-wave Kondo Coupling in Multi-Orbital Bands with Mirror Symmetry Breaking
• Kondo spin liquid in Kondo necklace model: Classical disordered phase versus symmetry-protected topological state
• Non-uniform phases in metals with local moments
• Selective Kondo screening and strange metallicity by sliding Dirac semimetals
• SU(4) Kondo Lattice in Semiconductor Moiré Materials
• Absence of coherent peaks in a $Z_2$ fractionalized BCS superconducting state
• Hubbard Bands and Exotic States in Doped and Undoped Mott Systems: The Kotliar-Ruckenstein Representation
• The Sound of Electrons Shattering: Current Noise Composition Laws for Electron Fractionalization
• Near-flat-band-driven violation of Pauli limit in heavy fermion superconductors
• Carrier-doping effect and anomalous transport properties in Ni-doped CeCoIn5 investigated by Hall resistivity measurements
• Magnetism, non-Fermi-liquid behavior and deconfinement in Kondo lattices
• Emergent Chiral Metal near a Kondo Breakdown Quantum Phase Transition
• Emergent spinon-holon Feshbach resonance in a doped Majumdar-Ghosh model
• Strong-Coupling Gauge Theory of Nodal Spinons and Antiferromagnetic Phase Transitions
• Orthogonal Dirac semimetal on honeycomb lattice and the electron spectral function in orthogonal metallic states