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Phys. Rev. B 76, 155116 (2007) [7 pages]

Observations on the resonant inelastic x-ray scattering cross section in copper oxide compounds

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Young-June Kim
Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA and Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7

J. P. Hill
Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA and Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom

S. Wakimoto* and R. J. Birgeneau
Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7

F. C. Chou
Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

N. Motoyama, K. M. Kojima, and S. Uchida
Graduate School of Frontier Sciences, University of Tokyo, Bunkyo, Tokyo 113-8656, Japan

D. Casa and T. Gog
CMC-XOR, Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439, USA

Received 28 March 2007; revised 7 September 2007; published 22 October 2007

We report properties of the resonant inelastic x-ray scattering (RIXS) cross section in a number of cuprates. We find that the observed spectra have the periodicity of the underlying crystal lattice, that is, the excitations are a function of reduced momentum q and not the total momentum Q=G+q, where G is a reciprocal lattice vector. Measurements with two different incident photon polarizations show that the line shape and momentum dependence of the observed spectra are independent of the particular state the 4p photoelectron resides in the intermediate state. These latter results support theoretical approaches in which the 4p is taken to be a spectator in the RIXS process. In addition, a discussion is presented of what might be expected to be generic features of the RIXS cross section with the aid of some crude models, and a comparison is made between RIXS and electron energy loss data for a number of cuprates both at q=0 and at finite q. Taken together, there is a suggestion in the data that RIXS measures an S(q,ω)-like response.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.76.155116
DOI:
10.1103/PhysRevB.76.155116
PACS:
71.27.+a, 74.25.Jb, 78.70.Ck

*Present address: Quantum Beam Science Directorate, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195, Japan.

Present address: Department of Physics, University of California, Berkeley, CA 94720-7300, USA.

Present address: Center for Condensed Matter Sciences, National Taiwan University, Taipei 106, Taiwan.