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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

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 URu2Si2 at the U-L3 edge with the electric quadrupolar transition. Based on an atomic model, we calculate the azimuthal dependence of the quadrupolar transition at the U-L3 edge. The results illustrate the potential of this technique for distinguishing different multipolar order parameters. We then perform experiments on ultraclean single crystals of URu2Si2 at the U-L3 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-M4 and U-L3 edges, clarifying the difficulty in detecting higher order multipolar order parameters in URu2Si2 in the current experimental setup.

Authors:
; ; ; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1473617
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 8; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

Citation Formats

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., and Dai, X. On the possibility to detect multipolar order in URu2Si2 by the electric quadrupolar transition of resonant elastic x-ray scattering. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.085146.
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. On the possibility to detect multipolar order in URu2Si2 by the electric quadrupolar transition of resonant elastic x-ray scattering. United States. doi:10.1103/PhysRevB.96.085146.
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., and Dai, X. Tue . "On the possibility to detect multipolar order in URu2Si2 by the electric quadrupolar transition of resonant elastic x-ray scattering". United States. doi:10.1103/PhysRevB.96.085146.
@article{osti_1473617,
title = {On the possibility to detect multipolar order in URu2Si2 by the electric quadrupolar transition of resonant elastic x-ray scattering},
author = {Wang, Y. L. and Fabbris, G. and Meyers, D. and Sung, N. H. and Baumbach, R. E. and Bauer, E. D. and Ryan, P. J. and Kim, J. -W. and Liu, X. and Dean, M. P. M. and Kotliar, G. and Dai, X.},
abstractNote = {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 URu2Si2 at the U-L3 edge with the electric quadrupolar transition. Based on an atomic model, we calculate the azimuthal dependence of the quadrupolar transition at the U-L3 edge. The results illustrate the potential of this technique for distinguishing different multipolar order parameters. We then perform experiments on ultraclean single crystals of URu2Si2 at the U-L3 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-M4 and U-L3 edges, clarifying the difficulty in detecting higher order multipolar order parameters in URu2Si2 in the current experimental setup.},
doi = {10.1103/PhysRevB.96.085146},
journal = {Physical Review B},
issn = {2469-9950},
number = 8,
volume = 96,
place = {United States},
year = {2017},
month = {8}
}

Works referenced in this record:

Behavior of URu 2 Si 2 in an applied magnetic field
journal, March 1998


Spin Nematic State as a Candidate of the Hidden Order Phase of URu 2 Si 2
journal, May 2011


Hastatic order in the heavy-fermion compound URu2Si2
journal, January 2013

  • Chandra, Premala; Coleman, Piers; Flint, Rebecca
  • Nature, Vol. 493, Issue 7434
  • DOI: 10.1038/nature11820

Magnetic excitations and ordering in the heavy-electron superconductor URu 2 Si 2
journal, April 1987


Partially gapped Fermi surface in the heavy-electron superconductor URu 2 Si 2
journal, January 1986


Muon spin rotation and magnetic order in the heavy-fermion compound URu 2 Si 2
journal, March 1988


Resonant X-ray Scattering Experiments on the Ordering of Electronic Degrees of Freedom
journal, February 2013

  • Matsumura, Takeshi; Nakao, Hironori; Murakami, Youichi
  • Journal of the Physical Society of Japan, Vol. 82, Issue 2
  • DOI: 10.7566/JPSJ.82.021007

Dynamical Diffraction of X Rays by Perfect Crystals
journal, July 1964


Pressure–temperature phase diagram of the heavy-electron superconductor
journal, March 2007

  • Amitsuka, H.; Matsuda, K.; Kawasaki, I.
  • Journal of Magnetism and Magnetic Materials, Vol. 310, Issue 2
  • DOI: 10.1016/j.jmmm.2006.10.008

Hidden and antiferromagnetic order as a rank-5 superspin in URu 2 Si 2
journal, June 2012


Nontrivial magnetic order: Localized versus itinerant systems
journal, October 1992


Resonant inelastic x-ray scattering studies of elementary excitations
journal, June 2011

  • Ament, Luuk J. P.; van Veenendaal, Michel; Devereaux, Thomas P.
  • Reviews of Modern Physics, Vol. 83, Issue 2
  • DOI: 10.1103/RevModPhys.83.705

Quadrupole transitions revealed by Borrmann spectroscopy
journal, July 2008

  • Pettifer, Robert F.; Collins, Stephen P.; Laundy, David
  • Nature, Vol. 454, Issue 7201
  • DOI: 10.1038/nature07099

Analogy Between the “Hidden Order” and the Orbital Antiferromagnetism in URu 2 x Fe x Si 2
journal, November 2016


Colloquium : Hidden order, superconductivity, and magnetism: The unsolved case of URu 2 Si 2
journal, November 2011


Helicity Order: Hidden Order Parameter in URu 2 Si 2
journal, January 2006


Hidden order behaviour in URu 2 Si 2 (A critical review of the status of hidden order in 2014)
journal, May 2014


Emergent rank-5 nematic order in URu2Si2
journal, June 2012

  • Ikeda, Hiroaki; Suzuki, Michi-To; Arita, Ryotaro
  • Nature Physics, Vol. 8, Issue 7
  • DOI: 10.1038/nphys2330

Hastatic order in URu 2 Si 2 : Hybridization with a twist
journal, May 2015


Hidden orbital order in the heavy fermion metal URu2Si2
journal, June 2002

  • Chandra, P.; Coleman, P.; Mydosh, J. A.
  • Nature, Vol. 417, Issue 6891
  • DOI: 10.1038/nature00795

Effect of Pressure on Tiny Antiferromagnetic Moment in the Heavy-Electron Compound URu 2 Si 2
journal, December 1999


Group theory and octupolar order in U Ru 2 Si 2
journal, February 2005


Electric quadrupole contribution to resonant x-ray scattering: Application to multipole ordering phases in Ce 1 x La x B 6
journal, September 2006


X-ray magnetic scattering in antiferromagnetic URu 2 Si 2
journal, December 1990


Why the Hidden Order in URu 2 Si 2 Is Still Hidden–One Simple Answer
journal, March 2010

  • Harima, Hisatomo; Miyake, Kazumasa; Flouquet, Jacques
  • Journal of the Physical Society of Japan, Vol. 79, Issue 3
  • DOI: 10.1143/JPSJ.79.033705

Resonant X-ray scattering study of hidden order in URu 2 Si 2 using a low-stress single crystal
journal, January 2010


On the Hidden Order in URu 2 Si 2 – Antiferro Hexadecapole Order and Its Consequences
journal, August 2011

  • Kusunose, Hiroaki; Harima, Hisatomo
  • Journal of the Physical Society of Japan, Vol. 80, Issue 8
  • DOI: 10.1143/JPSJ.80.084702

Quadrupole and dipole orders in URu 2 Si 2
journal, November 1999


Hidden octupole order in URu 2 Si 2
journal, February 2007


The CTM4XAS program for EELS and XAS spectral shape analysis of transition metal L edges
journal, October 2010


Antiferromagnetic critical pressure in URu 2 Si 2 under hydrostatic conditions
journal, August 2010


Hidden order in URu2Si2 originates from Fermi surface gapping induced by dynamic symmetry breaking
journal, February 2009

  • Elgazzar, S.; Rusz, J.; Amft, M.
  • Nature Materials, Vol. 8, Issue 4
  • DOI: 10.1038/nmat2395

Interplay between spin-density wave and induced local moments in URu 2 Si 2
journal, July 2005


Arrested Kondo effect and hidden order in URu2Si2
journal, September 2009

  • Haule, Kristjan; Kotliar, Gabriel
  • Nature Physics, Vol. 5, Issue 11
  • DOI: 10.1038/nphys1392

Direct bulk-sensitive probe of 5 f symmetry in URu 2 Si 2
journal, November 2016

  • Sundermann, Martin; Haverkort, Maurits W.; Agrestini, Stefano
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 49
  • DOI: 10.1073/pnas.1612791113

Theory of Unconventional Spin Density Wave: A Possible Mechanism of the Micromagnetism in U-based Heavy Fermion Compounds
journal, October 1998


Resonant X-ray Scattering from URu 2 Si 2
journal, February 2005

  • Nagao, Tatsuya; Igarashi, Jun-ichi
  • Journal of the Physical Society of Japan, Vol. 74, Issue 2
  • DOI: 10.1143/JPSJ.74.765

Superconducting and Magnetic Transitions in the Heavy-Fermion System U Ru 2 Si 2
journal, December 1985


Super Clean Sample of URu 2 Si 2
journal, January 2008

  • D. Matsuda, Tatsuma; Aoki, Dai; Ikeda, Shugo
  • Journal of the Physical Society of Japan, Vol. 77, Issue Suppl.A
  • DOI: 10.1143/JPSJS.77SA.362

Symmetry of the Excitations in the Hidden Order State of URu 2 Si 2
journal, December 2014


Resonant x-ray scattering study of the URu 2 Si 2 hidden-order phase
journal, May 2011


Magnetic excitations in the heavy-fermion superconductor URu 2 Si 2
journal, June 1991


Field-Dependent Energy Scales in URu 2 Si 2
journal, July 2000


Multipolar interactions in f -electron systems: The paradigm of actinide dioxides
journal, June 2009

  • Santini, Paolo; Carretta, Stefano; Amoretti, Giuseppe
  • Reviews of Modern Physics, Vol. 81, Issue 2
  • DOI: 10.1103/RevModPhys.81.807

Chirality density wave of the "hidden order" phase in URu2Si2
journal, February 2015


Crystal Field Model of the Magnetic Properties of U Ru 2 Si 2
journal, August 1994


Itinerant Magnetic Multipole Moments of Rank Five as the Hidden Order in URu 2 Si 2
journal, September 2009


Hybridization Wave as the “Hidden Order” in URu 2 Si 2
journal, February 2011


    Works referencing / citing this record:

    Ultrafast dynamics of spin and orbital correlations in quantum materials: an energy- and momentum-resolved perspective
    journal, April 2019

    • Cao, Y.; Mazzone, D. G.; Meyers, D.
    • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, Issue 2145
    • DOI: 10.1098/rsta.2017.0480