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

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.
Authors:
 [1] ;  [1] ;  [1] ;  [2] ;  [3] ;  [2] ;  [4] ;  [5] ;  [6] ;  [1] ;  [7] ;  [6]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Condensed Matter Physics and Materials Science
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab.
  4. Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS); Dublin City Univ. (Ireland). School of Physical Sciences
  5. Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
  6. Chinese Academy of Sciences (CAS), Beijing (China). Beijing National Lab. for Condensed Matter Physics and Inst. of Physics
  7. 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
Publication Date:
Report Number(s):
BNL-114294-2017-JA; LA-UR-17-24465
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PO011; KC0201060; TRN: US1800310
Grant/Contract Number:
SC0012704; AC02-06CH11357; SC00112704; AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 8; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Material Science
OSTI Identifier:
1412639
Alternate Identifier(s):
OSTI ID: 1377675; OSTI ID: 1415394