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Multipole ordering in $$f$$-electron systems

Kubo, Katsunori ; Hotta, Takashi

In order to investigate multipole ordering in $$f$$-electron systems from a microscopic viewpoint, we study the so-called $$Gamma_8$$ 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 $$(ffsigma)$$ bonding. From the $$Gamma_8$$ model, we derive an effective model for each lattice structure by using the second-order perturbation theory with respect to $$(ffsigma)$$. By further applying mean-field theory to the effective model, we find a $$Gamma_{3g}$$ antiferro-quadrupole transition for the sc lattice, a $$Gamma_{2u}$$ antiferro-octupole transition for the bcc lattice, and a longitudinal triple-$$q$$ $$Gamma_{5u}$$ octupole transition for the fcc lattice.

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Category:Physics, Condensed Matter

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