2005/06/02 by Katsunori Kubo, Takashi Hotta
Chemistry · Materials Science · Physics and Astronomy · #Chemistry #Condensed matter physics #Crystal structure #Crystallography #Electron #Lattice (music) #Multipole expansion #Organic and Molecular Conductors Research #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Quadrupole #Quantum mechanics #Rare-earth and actinide compounds #Statistical physics #cond-mat.str-el
paper · pdf · doi:10.1016/j.physb.2006.01.428
published as Physica B 378, 1081 (2006) · 2 pages, 3 figures
arxiv created 2005/06/02 · openalex publication_date 2006/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In order to investigate multipole ordering in f-electron systems from a microscopic viewpoint, we study the so-called Γ8 models on three kinds of lattices, simple cubic (sc), bcc, and fcc, based on a j-j coupling scheme with f-electron hopping integrals through (ffσ) bonding. From the Γ8 model, we derive an effective model for each lattice structure by using the second-order perturbation theory with respect to (ffσ). By further applying mean-field theory to the effective model, we find a Γ3g antiferro-quadrupole transition for the sc lattice, a Γ2u antiferro-octupole transition for the bcc lattice, and a longitudinal triple-q Γ5u octupole transition for the fcc lattice.