by Braicovich, L., van der Laan, G., Tagliaferri, A., Annese, E., Ghiringhelli, G. and Brookes, N. B.
Abstract:
We present experimental results on resonant inelastic x-ray scattering (RIXS) in perpendicular geometry excited with circularly polarized x rays at the Co L-3,L-2 edges in Co ferrite (CoFe2O4) and Co metal and at the Fe L-3,L-2 edges in Fe metal. In this geometry with magnetic samples the incident x-ray beam is perpendicular to the magnetization and the magnetic dichroism is only present in RIXS. We study the 3s-RIXS channel terminating in an inner shell 3s hole and extra 3d electron (2p(6)3d(n)-> 2p(5)3d(n+1)-> 2p(6)3s(1)3d(n+1)). The work is based on the measurement of the spectra vs incident photon energy and integrated over the scattered photon energy. We present data resolved in linear polarization of the scattered beam for scattering at 45 degrees and data summed over the outgoing polarizations and taken vs the scattering angle phi. The results show common features in both metals and ionic system: the dichroism scales as sin 2 phi while the spectral shape remains constant. The dichroism is maximum when the outgoing linear polarization is in the scattering plane and zero when the outgoing linear polarization is perpendicular to the scattering plane. The presence of the dichroism is due to the breaking of the mirror symmetry of the geometry consisting of the helicity vector of the incident radiation, the sample magnetization, and the linear polarization of the scattered beam. This is expected, in general, when the scattering occurs without rearrangement in the intermediate state. It is noteworthy that this occurs also in the metallic systems, where the scattering takes place with rearrangement due to a spin-dependent screening of the intermediate state core hole. This shows that this rearrangement does not require a more complex vector system in its description. The results show the relation between the selection of the scattering angle and the measurement of the polarization of the scattered radiation. We also present results from a geometry where the dichroism is absent in the emission integrated over outgoing polarization but where it is observed when this polarization is selected.
Reference:
Resonant inelastic x-ray scattering from magnetic systems with angular resolution and polarization analysis of the scattered beam: Results on metallic Co, Fe, and Co ferrite at the L-3,L-2 edges (Braicovich, L., van der Laan, G., Tagliaferri, A., Annese, E., Ghiringhelli, G. and Brookes, N. B.), In PHYSICAL REVIEW B, AMERICAN PHYSICAL SOC, volume 75, 2007.
Bibtex Entry:
@article{ ISI:000246890600046,
Author = {Braicovich, L. and van der Laan, G. and Tagliaferri, A. and Annese, E.
   and Ghiringhelli, G. and Brookes, N. B.},
Title = {{Resonant inelastic x-ray scattering from magnetic systems with angular
   resolution and polarization analysis of the scattered beam: Results on
   metallic Co, Fe, and Co ferrite at the L-3,L-2 edges}},
Journal = {{PHYSICAL REVIEW B}},
Year = {{2007}},
Volume = {{75}},
Number = {{18}},
Month = {{MAY}},
Abstract = {{We present experimental results on resonant inelastic x-ray scattering
   (RIXS) in perpendicular geometry excited with circularly polarized x
   rays at the Co L-3,L-2 edges in Co ferrite (CoFe2O4) and Co metal and at
   the Fe L-3,L-2 edges in Fe metal. In this geometry with magnetic samples
   the incident x-ray beam is perpendicular to the magnetization and the
   magnetic dichroism is only present in RIXS. We study the 3s-RIXS channel
   terminating in an inner shell 3s hole and extra 3d electron
   (2p(6)3d(n)-> 2p(5)3d(n+1)-> 2p(6)3s(1)3d(n+1)). The work is based on
   the measurement of the spectra vs incident photon energy and integrated
   over the scattered photon energy. We present data resolved in linear
   polarization of the scattered beam for scattering at 45 degrees and data
   summed over the outgoing polarizations and taken vs the scattering angle
   phi. The results show common features in both metals and ionic system:
   the dichroism scales as sin 2 phi while the spectral shape remains
   constant. The dichroism is maximum when the outgoing linear polarization
   is in the scattering plane and zero when the outgoing linear
   polarization is perpendicular to the scattering plane. The presence of
   the dichroism is due to the breaking of the mirror symmetry of the
   geometry consisting of the helicity vector of the incident radiation,
   the sample magnetization, and the linear polarization of the scattered
   beam. This is expected, in general, when the scattering occurs without
   rearrangement in the intermediate state. It is noteworthy that this
   occurs also in the metallic systems, where the scattering takes place
   with rearrangement due to a spin-dependent screening of the intermediate
   state core hole. This shows that this rearrangement does not require a
   more complex vector system in its description. The results show the
   relation between the selection of the scattering angle and the
   measurement of the polarization of the scattered radiation. We also
   present results from a geometry where the dichroism is absent in the
   emission integrated over outgoing polarization but where it is observed
   when this polarization is selected.}},
Publisher = {{AMERICAN PHYSICAL SOC}},
Address = {{ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}},
Type = {{Article}},
Language = {{English}},
Affiliation = {{Braicovich, L (Corresponding Author), Politecn Milan, INFM, CNR, SOFT,Dip Fis, P Leonardo da Vinci 32, I-20133 Milan, Italy.
   Politecn Milan, INFM, CNR, SOFT,Dip Fis, I-20133 Milan, Italy.
   SERC, Daresbury Lab, Warrington WA4 4AD, Cheshire, England.
   Univ Milan, Dipartimento Fis, I-20133 Milan, Italy.
   CNR, INFM, TASC, Lab Area Sci Pk Basovizza, I-34012 Trieste, Italy.
   Politecn Milan, INFM, CNR, Coherentia,Dip Fis, I-20133 Milan, Italy.
   European Synchrotron Radiat Facil, F-38043 Grenoble, France.}},
DOI = {{10.1103/PhysRevB.75.184408}},
Article-Number = {{184408}},
ISSN = {{1098-0121}},
Keywords-Plus = {{CIRCULAR-DICHROISM; EMISSION-SPECTROSCOPY; HOLE POLARIZATION;
   RAMAN-SCATTERING; PHOTOEMISSION; INFORMATION; GEOMETRY; SPECTRA}},
Research-Areas = {{Materials Science; Physics}},
Web-of-Science-Categories  = {{Materials Science, Multidisciplinary; Physics, Applied; Physics,
   Condensed Matter}},
ResearcherID-Numbers = {{Ghiringhelli, Giacomo/D-1159-2014
   Tagliaferri, Alberto/L-2903-2015
   Annese, Emilia/AAM-3070-2020
   Brookes, Nicholas B/C-6718-2019
   van der Laan, Gerrit/Q-1662-2015
   }},
ORCID-Numbers = {{Ghiringhelli, Giacomo/0000-0003-0867-7748
   Tagliaferri, Alberto/0000-0001-8001-1786
   Brookes, Nicholas B/0000-0002-1342-9530
   van der Laan, Gerrit/0000-0001-6852-2495
   Annese, Emilia/0000-0002-4066-697X
   Braicovich, Lucio/0000-0001-6548-9140}},
Number-of-Cited-References = {{26}},
Times-Cited = {{11}},
Usage-Count-Last-180-days = {{2}},
Usage-Count-Since-2013 = {{19}},
Journal-ISO = {{Phys. Rev. B}},
Doc-Delivery-Number = {{173RQ}},
Unique-ID = {{ISI:000246890600046}},
DA = {{2020-12-22}},
}

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