On the possibility to detect multipolar order in URu2Si2 by the electric quadrupolar transition of resonant elastic x-ray scattering

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

doi:10.1103/PhysRevB.96.085146

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

Journal Article · Wed Aug 30 00:00:00 EDT 2017 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.96.085146 · OSTI ID:1412639

Wang, Y. L. ^[1]; Fabbris, G. ^[1]; Meyers, D. ^[1]; Sung, N. H. ^[2]; Baumbach, R. E. ^[3]; Bauer, E. D. ^[2]; Ryan, P. J. ^[4]; Kim, J. -W. ^[5]; Liu, X. ^[6]; Dean, M. P. M. ^[1]; Kotliar, G. ^[7]; Dai, X. ^[6]

Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Condensed Matter Physics and Materials Science
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab.
Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS); Dublin City Univ. (Ireland). School of Physical Sciences
Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
Chinese Academy of Sciences (CAS), Beijing (China). Beijing National Lab. for Condensed Matter Physics and Inst. of Physics
Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Condensed Matter Physics and Materials Science; Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy

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. Our results illustrate the potential of this technique for distinguishing different multipolar order parameters. We then perform experiments on ultraclean 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 also 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.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0012704; AC02-06CH11357

OSTI ID:: 1412639

Report Number(s):: BNL--114294-2017-JA; KC0201060

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 8 Vol. 96; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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High magnetic field behavior of strongly correlated uranium-based compounds Mydosh, J. A. Advances in Physics, Vol. 66, Issue 4 https://doi.org/10.1080/00018732.2017.1466475	journal	October 2017
Hidden order and beyond: an experimental—theoretical overview of the multifaceted behavior of URu ₂ Si ₂ Mydosh, J. A.; Oppeneer, P. M.; Riseborough, P. S. Journal of Physics: Condensed Matter, Vol. 32, Issue 14 https://doi.org/10.1088/1361-648x/ab5eba	journal	January 2020
Ultrafast dynamics of spin and orbital correlations in quantum materials: an energy- and momentum-resolved perspective Cao, Y.; Mazzone, D. G.; Meyers, D. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, Issue 2145 https://doi.org/10.1098/rsta.2017.0480	journal	April 2019
Pressure-induced rotational symmetry breaking in URu 2 Si 2 Choi, J.; Ivashko, O.; Dennler, N. Physical Review B, Vol. 98, Issue 24 https://doi.org/10.1103/physrevb.98.241113	journal	December 2018
Ultrafast dynamics of spin and orbital correlations in quantum materials: an energy- and momentum-resolved perspective Cao, Y.; Mazzone, D. G.; Meyers, D. arXiv https://doi.org/10.48550/arxiv.1809.06288	text	January 2018
Pressure-induced rotational symmetry breaking in URu2Si2 Choi, J.; Ivashko, O.; Dennler, N. American Physical Society https://doi.org/10.5167/uzh-161743	text	January 2018

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