Ferromagnetism of magnetic impurities coupled indirectly via conduction electrons: Insights from various theoretical approaches

Abstract

The magnetic ground-state properties of the periodic Anderson model with a regular depletion of the correlated sites are analyzed within different theoretical approaches. We consider the model on the one-dimensional chain and on the two-dimensional square lattice with hopping between nearest neighbors. At half-filling and with correlated impurities present at every second site, the depleted Anderson lattice is the most simple system where the indirect magnetic coupling mediated by the conduction electrons is ferromagnetic. We discuss the underlying electronic structure and the possible mechanisms that result in ferromagnetic long-range order. To this end, different numerical and analytical concepts are applied to the depleted Anderson and also to the related depleted Kondo lattice and are contrasted with each other. This includes numerical approaches, i.e. Hartree-Fock theory, density-matrix renormalization and dynamical mean-field theory, as well as analytical concepts, namely a variant of the Lieb-Mattis theorem and the concept of flat-band ferromagnetism, and finally perturbative approaches, i.e. the effective RKKY exchange in the limit of weak and the "inverse indirect magnetic exchange" in the limit of strong coupling between the conduction band and the impurities.

14 pages, 7 figures, v2 with minor changes

References in corpus (4)

• The density-matrix renormalization group in the age of matrix product states
• Phase separation in the particle-hole asymmetric Hubbard model
• The Kondo Lattice Model in Infinite Dimensions I. Formalism
• Competition between Kondo screening and indirect magnetic exchange in a quantum box

Cited by in corpus (13)

• Compressible Ferrimagnetism in the depleted Periodic Anderson Model
• Strong-coupling limit of depleted Kondo- and Anderson-lattice models
• Strongly correlated multi-impurity models: The crossover from a single-impurity problem to lattice models
• Screening mechanisms in magnetic nanostructures
• Kondo-lattice-mediated interactions in flat band systems
• Crossover from conventional to inverse indirect magnetic exchange in the depleted Anderson lattice
• Determinant Quantum Monte Carlo Study of Exhaustion in the Periodic Anderson Model
• Emergence of massless Dirac quasiparticles in correlated hydrogenated graphene with broken sublattice symmetry
• Kondo holes in strongly correlated impurity arrays: RKKY driven Kondo screening and hole-hole interactions
• Kondo breakdown in multi-orbital Anderson lattices induced by destructive hybridization interference
• Power-Law Spectra and Asymptotic $\omega /T$ Scaling in the Orbital-Selective Mott Phase of a Three-Orbital Hubbard Model
• Flat-Band Driven Kondo Breakdown and Reentrant Effects in Heavy-Fermion Moiré Superlattices
• Spectral properties of strongly correlated multi impurity models in the Kondo insulator regime: Emergent coherence, metallic surface states and quantum phase transitions