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We develop a formalism to calculate the L-edge resonant x-ray scattering (RIXS) spectra from transition-metal compounds. Using a multi-orbital tight-binding model, we derive useful formulas to calculate the spectra by collecting up the…

Strongly Correlated Electrons · Physics 2015-06-16 Jun-ichi Igarashi , Tatsuya Nagao

We investigate resonant inelastic X-ray scattering (RIXS) at the O $K$-edge in insulating cuprates by means of three methods: cluster perturbation theory (CPT), Hartree--Fock approximation (HFA) and exact diagonalization (ED) method. We…

Strongly Correlated Electrons · Physics 2023-02-22 Yukihiro Matsubayashi , Sumio Ishihara

Resonant inelastic x-ray scattering (RIXS) is an extremely valuable tool for the study of elementary, including magnetic, excitations in matter. Latest developments of this technique mostly aimed at improving the energy resolution and…

Resonant inelastic X-ray scattering (RIXS) at the $L$-edge of transition metal elements is now commonly used to probe single magnon excitations. Here we show that single magnon excitations can also be measured with RIXS at the $K$-edge of…

Recent advancements in ultrashort and intense X-ray sources have enabled the utilisation of resonant inelastic X-ray scattering (RIXS) as a probing technique for monitoring photoinduced dynamics in molecular systems. To account for dynamic…

Chemical Physics · Physics 2024-03-19 Antonia Freibert , David Mendive-Tapia , Oriol Vendrell , Nils Huse

We derive general expressions for resonant inelastic x-ray scattering (RIXS) operators for $t_{2g}$ orbital systems, which exhibit a rich array of unconventional magnetism arising from unquenched orbital moments. Within the fast collision…

Strongly Correlated Electrons · Physics 2017-08-16 B. J. Kim , Giniyat Khaliullin

We study theoretically resonant inelastic x-ray scattering (RIXS) at the Cu $L_3$-edge in a typical parent compound of high-$T_c$ cuprate superconductors La$_2$CuO$_4$ on the basis of a detailed electronic band structure. We construct a…

Strongly Correlated Electrons · Physics 2015-08-20 Takuji Nomura

We present calculations for resonant inelastic x-ray scattering (RIXS) in edge-shared copper oxide systems, such as CuGeO$_{3}$ and Li$_{2}$CuO$_{2}$, appropriate for hard x-ray scattering where the photoexcited electron lies above oxygen…

Strongly Correlated Electrons · Physics 2009-11-13 F. Vernay , B. Moritz , I. Elfimov , J. Geck , D. Hawthorn , T. P. Devereaux , G. A. Sawatzky

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…

Strongly Correlated Electrons · Physics 2015-06-25 Jun-ichi Igarashi , Takuji Nomura , Manabu Takahashi

Resonant inelastic X-ray scattering (RIXS) is the workhorse experimental technique for probing the structural degradation of higher-capacity cathode materials. However, the interpretation of experimental spectra is challenging due to the…

We develop a formalism for calculating resonant inelastic x-ray scattering (RIXS) spectra in systems of itinerant electrons with arbitrary band structures, accounting for the effect of the positively-charged core hole exactly. We apply this…

Superconductivity · Physics 2013-12-24 David Benjamin , Israel Klich , Eugene Demler

We present a formalism for the resonant inelastic x-ray scattering (RIXS) cross section. The resulting compact expression in terms of polarizability matrix elements, particularly lends itself to the implementation in an all-electron…

Materials Science · Physics 2022-08-17 Christian Vorwerk , Francesco Sottile , Claudia Draxl

Generic low-energy spectral features related to $d$-$d$ excitations in nearly cubic vanadium perovskites are predicted for the expected $L$-edge resonant inelastic X-ray scattering (RIXS) measurements. Model Hamiltonian describing local…

Strongly Correlated Electrons · Physics 2013-01-22 V. Yushankhai , L. Siurakshina

We present a theory of the resonant inelastic x-ray scattering (RIXS) to study electronic excitations in orbital ordered manganites. The charge and orbital excitations of the Mn 3d electron are caused by the Coulomb interactions in the…

Strongly Correlated Electrons · Physics 2009-10-31 H. Kondo , S. Ishihara , S. Maekawa

I present a tractable theory for the Resonant Inelastic X-ray Scattering (RIXS) spectral function of magnons. The low-energy transition operator is written as a product of local spin operators times fundamental x-ray absorption spectra.…

Strongly Correlated Electrons · Physics 2011-07-05 M. W. Haverkort

We present an ab initio theory of core- and valence resonant inelastic x-ray scattering (RIXS) based on a real-space multiple scattering Green's function formalism and a quasi-boson model Hamiltonian. Simplifying assumptions are made which…

Materials Science · Physics 2011-01-25 J. J. Kas , J. J. Rehr , J. A. Soininen , P. Glatzel

We introduce a new type of Wannier functions (WFs) obtained by minimizing the conventional spread functional with a penalty term proportional to the variance of the spread distribution. This modified Wannierisation scheme is less prone to…

Other Condensed Matter · Physics 2021-11-09 Pietro F. Fontana , Ask H. Larsen , Thomas Olsen , Kristian S. Thygesen

We analyze resonant inelastic x-ray scattering (RIXS) at the Cu K edge in a typical orbital-ordered compound KCuF3 on the basis of a microscopic theory. Spectral shape and its dependence on polarization direction and momentum transfer of…

Strongly Correlated Electrons · Physics 2014-06-20 Takuji Nomura

Resonant Inelastic X-ray Scattering (RIXS) in the soft x-ray range is an element-specific energy-loss spectroscopy used to probe the electronic and magnetic excitations in strongly correlated solids. In the recent years, RIXS has been…

We present a combined oxygen $K$-edge x-ray absorption spectroscopy (XAS) and resonant inelastic x-ray scattering (RIXS) study of the bilayer ruthenate Ca$_3$Ru$_2$O$_7$. Our RIXS experiments on Ca$_3$Ru$_2$O$_7$ were carried out on the…

Strongly Correlated Electrons · Physics 2025-04-01 K. von Arx , F. Forte , M. Horio , V. Granata , Q. Wang , L. Das , Y. Sassa , R. Fittipaldi , C. G. Fatuzzo , O. Ivashko , Y. Tseng , E. Paris , A. Vecchione , T. Schmitt , M. Cuoco , J. Chang
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