On the possibility to detect multipolar order in URu$_2$Si$_2$ by the electric quadrupolar transition of resonant elastic X-ray scattering

Y. L. Wang; G. Fabbris; D. Meyers; N. H. Sung; R. E. Baumbach; E. D. Bauer; P. J. Ryan; J. -W. Kim; X. Liu; M. P. M. Dean; G. Kotliar; X. Dai

doi:10.1103/PhysRevB.96.085146

paper

On the possibility to detect multipolar order in URu $_{2}$ Si $_{2}$ by the electric quadrupolar transition of resonant elastic X-ray scattering

arXiv:1708.05307 · doi:10.1103/PhysRevB.96.085146

Abstract

Resonant elastic X-ray scattering is a powerful technique for measuring multipolar order parameters. In this paper, we theoretically and experimentally study the possibility of using this technique to detect the proposed multipolar order parameters in URu $_{2}$ Si $_{2}$ at the U- $L_{3}$ edge with the electric quadrupolar transition. Based on an atomic model, we calculate the azimuthal dependence of the quadrupolar transition at the U- $L_{3}$ edge. The results illustrate the potential of this technique for distinguishing different multipolar order parameters. We then perform experiments on ultra-clean single crystals of URu $_{2}$ Si $_{2}$ at the U- $L_{3}$ edge to search for the predicted signal, but do not detect any indications of multipolar moments within the experimental uncertainty. We theoretically estimate the orders of magnitude of the cross-section and the expected count rate of the quadrupolar transition and compare them to the dipolar transitions at the U- $M_{4}$ and U- $L_{3}$ edges, clarifying the difficulty in detecting higher order multipolar order parameters in URu $_{2}$ Si $_{2}$ in the current experimental setup.

arXiv comment9 pages, 4 figures, Accepted for publication in PRB

On the possibility to detect multipolar order in URu $_{2}$ Si $_{2}$ by the electric quadrupolar transition of resonant elastic X-ray scattering

Abstract

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On the possibility to detect multipolar order in URu2​Si2​ by the electric quadrupolar transition of resonant elastic X-ray scattering

Abstract

References in corpus (27)

Cited by in corpus (11)

On the possibility to detect multipolar order in URu $_{2}$ Si $_{2}$ by the electric quadrupolar transition of resonant elastic X-ray scattering