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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 a spectroscopic technique which has been widely used to study various elementary excitations in correlated and other condensed matter systems. For strongly correlated materials, besides boosting…

Strongly Correlated Electrons · Physics 2012-12-27 C. J. Jia , C. -C. Chen , A. P. Sorini , B. Moritz , T. P. Devereaux

Recent improvements in instrumentation have established resonant inelastic x-ray scattering (RIXS) as a valuable new probe of the magnetic excitations in the cuprates. This article introduces RIXS, focusing on the Cu $L_3$ resonance, and…

Superconductivity · Physics 2015-02-17 M. P. M. Dean

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…

We report on the Cu 1s resonant inelastic X-ray scattering (RIXS) of Cu-O one-dimensional (1D) strongly correlated insulator systems with contrasting atomic arrangements, namely edge-sharing CuGeO3 and corner-sharing Sr2CuO3. Owing to good…

Strongly Correlated Electrons · Physics 2009-11-11 S. Suga , S. Imada , A. Higashiya , A. Shigemoto , S. Kasai , M. Sing , H. Fujiwara , A. Sekiyama , A. Yamasaki , C. Kim , T. Nomura , J. Igarashi , M. Yabashi , T. Ishikawa

We present a detailed analysis of the incident-photon-energy and polarization dependences of the resonant inelastic x-ray scattering (RIXS) spectra at the Cu $K$ edge in La$_{2}$CuO$_{4}$. Our analysis is based on the formula developed by…

Strongly Correlated Electrons · Physics 2009-11-13 Manabu Takahashi , Junichi Igarashi , Takuji Nomura

The resonant inelastic x-ray scattering (RIXS) was measured in an insulating SrCuO$_{2}$ with changing the incident photon energy ($h\nu$) near the Cu $1s$ absorption edge (K-edge). Complex structures and their dependences on the momentum…

We present Ru $L_3$-edge resonant inelastic x-ray scattering (RIXS) measurements of spin-orbit and d-d excitations in exfoliated nanolayers of the Kitaev spin-liquid candidate RuCl$_3$. Whereas the spin-orbit excitations are independent of…

We have investigated the electronic structure of Ba4Ir3O10 within the density-functional theory (DFT) using the generalized gradient approximation while considering strong Coulomb correlations (GGA+U) in the framework of the fully…

Strongly Correlated Electrons · Physics 2026-02-18 D. A. Kukusta , L. V. Bekenov , V. N. Antonov

High-resolution resonant inelastic X-ray scattering (RIXS) at the oxygen K-edge has been used to study the orbital excitations of Ca2RuO4 and Sr2RuO4. In combination with linear dichroism X-ray absorption spectroscopy, the ruthenium…

We report an Fe $K$-edge resonant inelastic X-ray scattering (RIXS) study of K$_{0.83}$Fe$_{1.53}$Se$_2$. This material is an insulator, unlike many parent compounds of iron-based superconductors. We found a sharp excitation around 1 eV,…

The single-layered perovskite Ca$_2$RuO$_4$, characterized by a 4$d^4$ electron configuration, has been studied from first principles using density functional theory (DFT) using the generalized gradient approximation, with inclusion of…

Strongly Correlated Electrons · Physics 2025-11-26 D. A. Kukusta , L. V. Bekenov , P. F. Perndorfer , D. V. Vyalikh , P. A. Buczek , A. Ernst , V. N. Antonov

We report a Cu K-edge resonant inelastic x-ray scattering (RIXS) study of momentum-dependent charge excitations in Nd$_{2-x}$Ce$_x$CuO$_4$ ($x$ = 0.075 and 0.18). The peak position and width of the excitations coincide excellently with…

Strongly Correlated Electrons · Physics 2019-06-07 Kenji Ishii , Masahito Kurooka , Yusuke Shimizu , Masaki Fujita , Kazuyoshi Yamada , Jun'ichiro Mizuki

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

X-ray absorption is the standard method to probe the unoccupied density of states at a given edge. Here we show that polarized Resonant Inelastic X-Ray Scattering in La2CuO4 at the Cu K-edge is extremely sensitive to the environment of the…

Strongly Correlated Electrons · Physics 2009-11-11 A. Shukla , M. Calandra , M. Taguchi , A. Kotani , G. Vanko , S-W. Cheong

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

An application of resonant inelastic x-ray scattering technique for studying of optical scale excitations in electron-correlated materials is discussed. Examples are given including data obtained for 3d transition metal, lanthanide, and…

Strongly Correlated Electrons · Physics 2007-05-23 Sergei M. Butorin

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

We present a resonant inelastic x-ray scattering (RIXS) study of spin and charge excitations in overdoped La1.77Sr0.23CuO4 along two high-symmetry directions. The line shape of these excitations is analyzed and they are shown to be highly…

Superconductivity · Physics 2016-02-05 C. Monney , T. Schmitt , C. E. Matt , J. Mesot , V. N. Strocov , O. J. Lipscombe , S. M. Hayden , J. Chang

We analyze the resonant inelastic x-ray scattering (RIXS) spectra at the Cu and Ni K edges in La2CuO4 and La2NiO4, respectively. We make use of the Keldysh-Green-function formalism, in which the RIXS intensity is described by a product of…

Strongly Correlated Electrons · Physics 2009-11-13 Manabu Takahashi , Junichi Igarashi , Taeko Semba