Abstract

The origin of an anisotropic phase diagram for the antiferro-quadrupolar (AFQ) order in TmTe is studied using a realistic J = 7/2 multiplet model, based on a previous analysis for the classical limit J →∞. Assuming the Γ 3 -type AFQ order parameters, a quantitative comparison of the phase diagram with the experiments is presented for a few candidates of the crystal field (CF) level schemes. It is shown that a scheme with a sequence from low- to high-energy levels, Γ 8 -Γ 6 -Γ 7 , naturally explains the observed field dependence and anisotropy of the phase diagram. The resonant x-ray scattering signals in the AFQ phase are studied to explore a possibility of identifying the order parameter and the CF scheme experimentally.

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