Interpolation between spectra satisfying sum rules

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 9, 2009, Pages

  Weissker, Hans Christian ^a,b,d   Hambach, Ralf ^a,b   Olevano, Valerio ^b,c   Reining, Lucia ^a,b  

^a LABORATOIRE DES SOLIDES IRRADIÉS   (France)

^b European Theoretical Spectroscopy Facility ETSF   (France)

^c LABORATOIRE DE CRISTALLOGRAPHIE   (France)

^d LABORATOIRE DE PHYSIQUE DES INTERFACES ET DES COUCHES MINCES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 63149135804     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.094102     Document Type: Article

References (16)

1. W. Schülke, in Handbook of Synchrotron Radiation, edited by, G. Brown, and, D. E. Moncton, (Elsevier Science, New York, 1991), Vol. 3, Chap..
2. R. Brydson, Electron Energy-Loss Spectroscopy (Garland Science, London, 2001).
3. Here and in the following we restrict our treatment to a one-dimensional parameter. In the case of the momentum transfer, this could be either the direction of q or its modulus along a given direction. A generalization to three-dimensional parameters such as q itself is straightforward.
4. G. Onida, L. Reining, and A. Rubio, Rev. Mod. Phys. 74, 601 (2002). 10.1103/RevModPhys.74.601
5. H.-Ch. Weissker, Jorge Serrano, S. Huotari, F. Bruneval, F. Sottile, G. Monaco, M. Krisch, V. Olevano, and L. Reining, Phys. Rev. Lett. 97, 237602 (2006). 10.1103/PhysRevLett.97.237602
6. M. Gatti, F. Bruneval, V. Olevano, and L. Reining, Phys. Rev. Lett. 99, 266402 (2007). 10.1103/PhysRevLett.99.266402
7. A. Castro, H. Appel, Micael Oliveira, C. A. Rozzi, X. Andrade, F. Lorenzen, M. A. L. Marques, E. K. U. Gross, and A. Rubio, Phys. Status Solidi B 243, 2465 (2006). 10.1002/pssb.200642067
8. J. J. Max and C. Chapados, Appl. Spectrosc. 53, 1601 (1999). 10.1366/0003702991946064
9. See for instance J. Z. Tischler, B. C. Larson, P. Zschack, A. Fleszar, and A. G. Eguiluz, Phys. Status Solidi B 237, 280 (2003). 10.1002/pssb.200301777
10. See for instance B. Adolph, V. I. Gavrilenko, K. Tenelsen, F. Bechstedt, and R. Del Sole, Phys. Rev. B 53, 9797 (1996). 10.1103/PhysRevB.53.9797
11. 1 (q,ω), the sum rule of which is not q dependent. The interpolation is hence done between the loss functions for different q before the S (q,ω) is regained using the inverse scaling.
12. A code which carries out the interpolation can be found at http://etsf.polytechnique.fr/Software/Interpolation
13. M. Galassi, J. Davis, J. Theiler, B. Gough, G. Jungman, M. Booth, and F. Rossi, GNU Scientific Library Reference Manual, 2nd ed. (Network Theory Ltd., 2003)
14. www.gnu.org/software/gsl
15. H.-Ch. Weissker, J. Furthmüller, and F. Bechstedt, Phys. Rev. B 65, 155328 (2002). 10.1103/PhysRevB.65.155328
16. J. Humlicek, M. Garriga, M. I. Alonso, and M. Cardona, J. Appl. Phys. 65, 2827 (1989). 10.1063/1.342720