Metallic Ferromagnetism in the Kondo Lattice

Abstract

Metallic magnetism is both ancient and modern, occurring in such familiar settings as the lodestone in compass needles and the hard drive in computers. Surprisingly, a rigorous theoretical basis for metallic ferromagnetism is still largely missing. The Stoner approach perturbatively treates Coulomb interactions when the latter need to be large, while the Nagaoka approach incorporates thermodynamically negligible electrons into a half-filled band. Here, we show that the ferromagnetic order of the Kondo lattice is amenable to an asymptotically exact analysis over a range of interaction parameters. In this ferromagnetic phase, the conduction electrons and local moments are strongly coupled but the Fermi surface does not enclose the latter (i.e. it is small). Moreover, non-Fermi liquid behavior appears over a range of frequencies and temperatures. Our results provide the basis to understand some long-standing puzzles in the ferromagnetic heavy fermion metals, and raises the prospect for a new class of ferromagnetic quantum phase transitions.

21 pages, 9 figures, including Supporting Information

References in corpus (18)

• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Quantum criticality
• Hall-effect evolution across a heavy-fermion quantum critical point
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Quantum-critical behavior of itinerant ferromagnets
• CeRuPO: A rare example of a Ferromagnetic Kondo lattice
• Evolution of critical scaling behavior near a ferromagnetic quantum phase transition
• Fermi surface and antiferromagnetism in the Kondo lattice: an asymptotically exact solution in d>1 Dimensions
• Non-analytic behavior of 2D itinerant ferromagnets
• Suppression of ferromagnetism in CeSi_1.81 under temperature and pressure
• Fermionic propagators for 2D systems with singular interactions
• Renormalization Group for Mixed Fermion-Boson Systems
• Non-fermi liquid behavior in itinerant antiferromagnets
• Magnetization Relaxation and Collective Spin Excitations in Correlated Double--Exchange Ferromagnets
• Fermionic representation for the ferromagnetic Kondo lattice model -- diagrammatic study of spin-charge coupling effects on magnon excitations

Cited by in corpus (30)

• Metallic Quantum Ferromagnets
• Strange metal behavior in a pure ferromagnetic Kondo lattice
• Quantum Criticality and Global Phase Diagram of Magnetic Heavy Fermions
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Ferromagnetic Quantum Criticality in the Quasi-One-Dimensional Heavy Fermion Metal YbNi4P2
• Spin-selective Kondo insulator: Cooperation of ferromagnetism and Kondo effect
• Model for Ferromagnetic Quantum Critical Point in a 1D Kondo Lattice
• Ferromagnetic Quantum Critical Point in Non-Centrosymmetric Systems
• Evidence for a Kondo destroying quantum critical point in YbRh2Si2
• Weak ferromagnetism with the Kondo screening effect in the Kondo lattice systems
• Ferromagnetic quantum critical point in UCo1-xFexGe
• Renormalization Group for Mixed Fermion-Boson Systems
• Strongly correlated multi-impurity models: The crossover from a single-impurity problem to lattice models
• A unified theory of ferromagnetic quantum phase transitions in heavy fermion metals
• Magnetic order and spin dynamics in the proximity of a ferromagnetic quantum critical point: A μSR study of YbNi4P2
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• ^31P NMR investigations on the ferromagnetic quantum critical system YbNi_4P_2
• Competition of striped magnetic order and partial Kondo screened state in the Kondo lattice model
• Ferromagnetic ordering along the hard axis in the Kondo lattice YbIr3Ge7
• Electronic correlations, spectral and magnetic properties of ZrZn${}_2$
• Suppression of ferromagnetism governed by a critical lattice parameter in CeTiGe$\_3$ with hydrostatic pressure or V substitution
• Avoided ferromagnetic quantum critical point: Antiferromagnetic ground state in substituted CeFePO
• The quantum ferromagnetic transition in a clean Kondo lattice is discontinuous
• Superconducting Correlations in the One-Dimensional Kondo Lattice Models under Magnetic Fields
• Importance of anisotropic interactions for hard-axis/plane ordering of Ce-based ferromagnets
• Electronic structure dimensionality of the quantum-critical ferromagnet YbNi${}_4$P${}_2$
• Synthesis and physical properties of Ce${}_2$Rh${}_{3+\delta }$Sb${}_4$ single crystals
• Fermi Surface under Magnetism Instability
• The Kondo effect in ferromagnetic quantum critical CeRh${}_6$Ge${}_4$
• Influence of strain on the properties of CeRuPO and CeOsPO Kondo systems