Detection of electromagnetic multipoles by x-ray spectroscopies | Zendy

S. Di Matteo | Zendy; Yves Joly | Zendy; C. R. Natoli | Zendy

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Detection of electromagnetic multipoles by x-ray spectroscopies

Author(s) -

S. Di Matteo,

Yves Joly,

C. R. Natoli

Publication year - 2005

Publication title -

physical review b

Language(s) - English

Resource type - Journals

eISSN - 1538-4489

pISSN - 1098-0121

DOI - 10.1103/physrevb.72.144406

Subject(s) - multipole expansion , quadrupole , magnetic circular dichroism , physics , scattering , x ray magnetic circular dichroism , ferrimagnetism , dichroism , circular dichroism , atomic physics , optics , spectral line , magnetization , magnetic field , quantum mechanics , chemistry , crystallography

International audienceFollowing a brief discussion on electromagnetic multipole expansion, we provide a link between several multipole moments and the measurable quantities of some x-ray spectroscopies, like resonant x-ray scattering (RXS) or dichroism in absorption. A general classification is given, accompanied by some specific examples and a geometrical interpretation of the axial toroidal (non-magnetic) quadrupole, related to the x-ray natural circular dichroism. Finally, in order to provide a physical example for the detection of magnetic parity-odd multipoles, like the toroidal moment, we perform a numerical simulation for x-ray non-reciprocal directional dichroism, at Fe K edge, in the polar ferrimagnet GaFeO3. Our calculations describe quite well the reported experimental profile, with the correct order of magnitude for dichroism/absorption intensity-ratio and a signal which is limited to pre-edge

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