Interplay of localized and itinerant behavior in the one-dimensional Kondo-Heisenberg model

Abstract

We use the density matrix renormalization group method to study the interplay of the localized and itinerant behaviors in the one-dimensional Kondo-Heisenberg model. We find signatures of simultaneously localized and itinerant behaviors of the local spins and attribute this duality to their simultaneous entanglement within the spin chain and with conduction electrons due to incomplete hybridization. We propose a microscopic definition of the hybridization parameter that measures this "partial" itinerancy. Our results provide a microscopic support for the dual nature of f-electrons and the resulting two-fluid behavior widely observed in heavy electron materials.

6 pages, 5 figures

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• Continuous ferromagnetic quantum phase transition on an anisotropic Kondo lattice
• A Simple Solvable Model for Heavy Fermion Superconductivity from the Two-Fluid Normal State
• An emerging global picture of heavy fermion physics
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
• Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
• Evolution of topological end states in the one-dimensional Kondo-Heisenberg model with site modulation