Development of long-range phase coherence on the Kondo lattice

Abstract

Despite of many efforts, we still lack a clear picture on how heavy electrons emerge and develop on the Kondo lattice. Here we introduce a key concept named the hybridization bond phase and propose a scenario based on phase correlation to address this issue. The bond phase is a gauge-invariant quantity combining two onsite hybridization fields mediated by inter-site magnetic correlations. Its probabilistic distribution decays exponentially with site distance, from which a characteristic length scale can be extracted to describe the spatial correlation of Kondo hybridizations. Our calculations show that this correlation length grows logarithmically with lowering temperature at large Kondo coupling, and reveal a precursor pseudogap state with short-range phase correlation before long-range phase coherence is developed to form the Kondo insulating (or heavy electron) state at low temperatures. This provides a potential microscopic explanation of the two-stage hybridization proposed by recent pump-probe experiment and the logarithmic scaling in the phenomenological two-fluid model. Our work offers a novel theoretical framework to describe the phase-related physics in Kondo lattice systems.

9 pages, 5 figures

References in corpus (20)

• Quantum Criticality in Heavy Fermion Metals
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• Nature of the superconductor-insulator transition in disordered superconductors
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• Universal Behavior in Heavy Electron Materials
• Transport anomalies in a simplified model for a heavy electron quantum critical point
• The modulated spin liquid: a new paradigm for URu${}_2$Si${}_2$
• Multi-scale fluctuations near a Kondo Breakdown Quantum Critical Point
• Testing the Monte Carlo - Mean Field approximation in the one-band Hubbard model
• Partial disorder in an Ising-spin Kondo lattice model on a triangular lattice
• Nonlocal Kondo effect and quantum critical phase in heavy fermion metals
• Fermi Arcs in the Superconducting Clustered State for Underdoped Cuprates
• Pseudogap and Fermi-arc Evolution in the Phase-fluctuation Scenario
• Unveiling the Hybridization Process in a Quantum Critical Ferromagnet by Ultrafast Optical Spectroscopy
• Mutual information, quantum phase transition, and phase coherence in Kondo systems
• Luttinger sum rules and spin fractionalization in the SU(N) Kondo Lattice
• Emergent Kondo behavior from gauge fluctuations in spin liquids
• Spin current Kondo effect in frustrated Kondo systems
• Schwinger boson approach for the dynamical mean-field theory of the Kondo lattice

Cited by in corpus (5)

• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• A Simple Solvable Model for Heavy Fermion Superconductivity from the Two-Fluid Normal State
• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
• An emerging global picture of heavy fermion physics
• Flat bands on spherical surface: from Landau levels to giant-quantum-number orbitals