Nonlocal Kondo effect and quantum critical phase in heavy fermion metals

Abstract

Heavy fermion metals typically exhibit unconventional quantum critical point or quantum critical phase at zero temperature due to competition of Kondo effect and magnetism. Previous theories were often based on certain local type of assumptions and a fully consistent explanation of experiments has not been achieved. Here we develop an efficient algorithm for the Schwinger boson approach to explore the effect of spatial correlations on the Kondo lattice and introduce the concept of nonlocal Kondo effect in the quantum critical region with deconfined spinons. We predict a global phase diagram containing a non-Fermi liquid quantum critical phase with a hidden holon Fermi surface and a partially enlarged electron Fermi surface for strong quantum fluctuations while a single quantum critical point for weak quantum fluctuations. This explains the unusual metallic spin liquid recently reported in the frustrated Kondo lattice CePdAl and resolves the Fermi volume puzzle in YbRh${}_2$Si${}_2$. Our theory highlights the importance of nonlocal physics and provides a unified understanding of heavy fermion quantum criticality.

11 pages, 6 figures

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Cited by in corpus (21)

• Mechanism of the insulator-to-metal transition and superconductivity in the spin liquid candidate NaYbSe${}_2$ under pressure
• Spin-liquid signatures in the quantum critical regime of pressurized CePdAl
• Emergent Spinon Dispersion and Symmetry Breaking in Two-Channel Kondo Lattices
• A unified theory of ferromagnetic quantum phase transitions in heavy fermion metals
• ${\mathbb{Z}}_2$ metallic spin liquid on a frustrated Kondo lattice
• Pair density wave, unconventional superconductivity, and non-Fermi liquid quantum critical phase in frustrated Kondo lattice
• Highly asymmetric superconducting dome and strange metallicity in La${}_3$Ni${}_2$O${}_7$
• Development of long-range phase coherence on the Kondo lattice
• Spin current Kondo effect in frustrated Kondo systems
• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• Schwinger boson approach for the dynamical mean-field theory of the Kondo lattice
• A Simple Solvable Model for Heavy Fermion Superconductivity from the Two-Fluid Normal State
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• An emerging global picture of heavy fermion physics
• Interplay of charge and spin fluctuations in a Hund's coupled impurity
• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Dynamic-RKKY induced time-reversal symmetry breaking and chiral spin liquids
• Microscopic evidence of a field-induced critical spin-liquid state in a frustrated metal
• Towards Entanglement Entropy of Random Large-N Theories
• Dilute Paramagnetism and Non-Trivial Topology in Quasicrystal Approximant Fe${}_4$Al${}_{13}$