Variational Mote Carlo Study of Flat Band Ferromagnetism -- Application to CeRh_3 B_2

Abstract

A new mechanism for ferromagnetism in CeRh_3B_2 is proposed on the basis of variational Monte Carlo results. In a one-dimensional Anderson lattice where each 4f electron hybridizes with a ligand orbital between neighboring Ce sites, ferromagnetism is stabilized due to a nearly flat band which is a mixture of conduction and 4f electron states. Because of the strong spin-orbit interaction in 4f electron states, and of considerable amount of hybridization in the nearly flat band, the magnetic moments from 4f and conduction electrons tend to cancel each other. The resultant ferromagnetic moment becomes smaller as compared with the local 4f moment, and the Fermi surface in the ferromagnetic ground state is hardly affected by the presence of 4f electrons. These theoretical results are consistent with experimental observations in CeRh_3B_2 by neutron scattering and dHvA effects.

arXiv commentto be published in J.Phys.Soc.Jpn

References in corpus (5)

• Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
• Ferromagnetism in multi--band Hubbard models: From weak to strong Coulomb repulsion
• Segmented Band Mechanism for Itinerant Ferromagnetism
• Phase Diagram of the 1D Anderson Lattice
• Ferromagnetism and phase separation in one-dimensional d-p and periodic Anderson models

Cited by in corpus (9)

• First-Principles Design of a Half-Filled Flat Band of the Kagome Lattice in Two-Dimensional Metal-Organic Frameworks
• Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices
• Band flatness optimization through complex analysis
• Low-temperature thermodynamics for a flat-band ferromagnet: Rigorous versus numerical results
• The sawtooth chain: From Heisenberg spins to Hubbard electrons
• Orbital selective coupling in CeRh${}_3$B${}_2$: co-existence of high Curie and high Kondo temperature
• Correlation and confinement induced itinerant ferromagnetism in chain structures
• Variational Monte Carlo analysis of the Hubbard model with a confining potential: one-dimensional fermionic optical lattice systems
• Low energy magnetic excitation spectrum of the unconventional ferromagnet CeRh${}_3$B${}_2$