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Theory of resonant inelastic x-ray scattering at the K edge in La$_2$CuO$_4$ - Multiple scattering effects - | | Jun-ichi Igarashi
; Takuji Nomura
; Manabu Takahashi
; | | Date: |
19 Jul 2006 | | Subject: | Strongly Correlated Electrons; Materials Science | | Abstract: | We develop a theory of resonant inelastic x-ray scattering (RIXS) at the $K$ edge in La$_2$CuO$_4$ on the basis of the Keldysh Green’s function formalism. In our previous analysis (Phys. Rev. B 71, 035110(2005)), the scattering by the core-hole potential was treated within the Born approximation, and a crude model density of states was used for the $4p$ band. We improve the analysis by taking account of the multiple scattering in Cu3d-O$2p$ bands and by using a realistic $4p$ density of states (DOS) obtained from a band calculation. The multiple scattering effect is evaluated with the use of the time representation developed by Noziere and de Dominicis. It is found that the $K$-edge peak in the absorption coefficient moves to a lower energy region as a function of photon energy, and that the multiple-scattering effect on the RIXS spectra does not change the two-peak structure but modifies slightly the shape as a function of energy loss. These findings suggests that the multiple scattering effect could mainly be included into a renormalization of the core-level energy, and partly justify the Born approximation, leading to a future application to the RIXS in three-dimensional systems. | | Source: | arXiv, cond-mat/0607468 | | Services: | Forum | Review | PDF | Favorites | |
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