Multipole ordering in f-electron systems on the basis of a j-j coupling scheme

Abstract

We investigate microscopic aspects of multipole ordering in f-electron systems with emphasis on the effect of lattice structure. For the purpose, first we construct f-electron models on three kinds of lattices, simple cubic (sc), bcc, and fcc, by including f-electron hopping through (ffσ) bonding in a tight-binding approximation on the basis of a j-j coupling scheme. Then, an effective model is derived in the strong-coupling limit for each lattice structure with the use of second-order perturbation theory with respect to (ffσ). By applying mean-field theory to such effective models, we find different types of multipole ordered state depending on the lattice structure. For the sc lattice, a Γ_{3g} antiferro-quadrupole transition occurs at a finite temperature and as further lowering temperature, we find another transition to a ferromagnetic state. For the bcc lattice, a Γ_{2u} antiferro-octupole ordering occurs first, and then, a ferromagnetic phase transition follows it. Finally, for the fcc lattice, we find a single phase transition to the longitudinal triple-q Γ_{5u} octupole ordering.

13 pages, 10 figures

References in corpus (6)

• Microscopic theory of multipole ordering in NpO2
• Invariant Form of Hyperfine Interaction with Multipolar Moments - Observation of Octupolar Moments in NpO${}_2$ and CeB${}_6$ by NMR -
• Microscopic Approach to Magnetism and Superconductivity of $f$-Electron Systems with Filled Skutterudite Structure
• Elastic Properties and Magnetic Phase Diagrams of Dense Kondo Compound Ce0.75La0.25B6
• Magnetic Fluctuations of Filled Skutterudites Emerging in the Transition Region between Singlet and Triplet States
• Wavenumber Dependence of Multipolar Interactions in the Anderson Lattice

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