Model of charge and magnetic order formation in itinerant electron systems

Abstract

We propose a simple model of charge and/or magnetic order formation in systems containing both localized and itinerant electrons coupled by the on-site, spin-dependent interaction that represents Coulomb repulsion and Hund's rule (a generalized Falicov-Kimball model). Ground state properties of the model are analyzed on the square lattice on a basis of the phase diagrams that have been constructed rigorously, but in a restricted configurational space. For intermediate values of the coupling constants there are considerable ranges of itinerant electron densities where phases with complex charge and magnetic structures of the localized electrons have lower energy than the simplest antiferro- and ferromagnetic ones. A strong tendency towards the antiferromagnetic coupling between spins of localized electrons has been observed close to half-filling for any density of localized electrons, including situations where the magnetic ions are diluted. For small band fillings the ferromagnetic coupling between localized spins is predominant.

13 pages, 5 figures

References in corpus (3)

• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Periodic Density of States Modulations in Superconducting $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$
• Charge stripes due to electron correlations in the two-dimensional spinless Falicov-Kimball model

Cited by in corpus (14)

• Numerical study of magnetization processes in rare-earth tetraborides
• Ground states of the generalized Falicov-Kimball model in one and two dimensions
• Formation of charge and spin ordering in strongly correlated electron systems
• Ground-state phase diagrams of the generalized Falicov-Kimball model with Hund coupling
• Study of ground state phases for spin-1/2 Falicov-Kimball model on a triangular lattice
• Orbital Magnetic Field Driven Metal-Insulator Transition in Spinless Extended Falicov-Kimball Model on A Triangular Lattice
• Charge Order in the Falicov-Kimball Model
• Metal-Insulator Transition and Band Magnetism in the Spin-$1/2$ Falicov-Kimball Model on A Triangular Lattice with External Magnetic Field
• Enhancement of the d-wave pairing correlations by charge and spin ordering in the spin-one-half Falicov-Kimball model with Hund and Hubbard~coupling
• The Role of Intra- and Inter-site exchange correlations in the Extended Falicov-Kimball Model on a Triangular Lattice
• Influence of spin ordering on superconducting correlations in the spin-one-half Falicov-Kimball model with Hund and Hubbard coupling
• Magnetic phase diagrams of the generalized spin-one-half Falicov-Kimball model
• Phase Separation and Charge-Ordered Phases of the d = 3 Falicov-Kimball Model at T>0: Temperature-Density-Chemical Potential Global Phase Diagram from Renormalization-Group Theory
• Stability and properties of striped phases in systems of interacting fermions or hard-core bosons