Observation of the antiferroquadrupolar order in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">DyB</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow><mrow><msub><mrow><mi mathvariant="normal">C</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math></span> by resonant x-ray scattering

T. Matsumura; N. Oumi; K. Hirota; H. Nakao; Y. Murakami; Y. Wakabayashi; T. Arima; S. Ishihara; Y. Endoh

doi:10.1103/PhysRevB.65.094420

Observation of the antiferroquadrupolar order in ${DyB}_{2} C_{2}$ by resonant x-ray scattering

T. Matsumura, N. Oumi, K. Hirota, H. Nakao, Y. Murakami, Y. Wakabayashi, T. Arima, S. Ishihara, and Y. Endoh

Phys. Rev. B 65, 094420 – Published 13 February 2002

Abstract

We have investigated the antiferroquadrupolar (AFQ) order in ${DyB}_{2} C_{2}$ by resonant x-ray scattering. X rays with energies near the $L_{3}$ absorption edge of Dy were employed. Superlattice peaks that correspond to three kinds of propagation vectors of (1 0 0), (1 0 1/2), and (0 0 1/2) were investigated in detail with polarization analyses. The experimental results are analyzed using a formalism of resonant x-ray scattering and a model of the AFQ order. The magnetic and quadrupolar scatterings are explained by the model satisfactorily. A detailed investigation of the critical behavior of the AFQ ordering is also reported. The critical exponent $β$ is deduced to be 0.35, not far from the three-dimensional Heisenberg system. We have also succeeded in detecting the diffuse scattering above $T_{Q} .$

Received 8 October 2001

DOI:https://doi.org/10.1103/PhysRevB.65.094420

Authors & Affiliations

T. Matsumura, N. Oumi, and K. Hirota

Department of Physics, Tohoku University, Sendai, 980-8578, Japan

H. Nakao and Y. Murakami^*

Photon Factory, Institute of Materials Structure Science, High Energy Accelerator Research Organization, Tsukuba, 305-0801, Japan

Y. Wakabayashi^†

Department of Physics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Yokohama, 223-8522, Japan

T. Arima

Institute of Materials Science, University of Tsukuba, Tsukuba, 305-8573, Japan

S. Ishihara^‡ and Y. Endoh

Institute for Materials Research, Tohoku University, Sendai, 980-8577, Japan

^*Present address: Department of Physics, Tohoku University, Sendai, 980-8578, Japan.
^†Present address: Department of Physics, Chiba University, Chiba, 263-8522, Japan.
^‡Present address: Department of Applied Physics, University of Tokyo, Tokyo, 113-8656, Japan.

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Vol. 65, Iss. 9 — 1 March 2002

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