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The resonant inelastic x-ray scattering spectrum in insulating cuprates is examined by using the exact diagonalization technique on small clusters in the two-dimensional Hubbard model with second and third neighbor hopping terms. When the…

Strongly Correlated Electrons · Physics 2009-10-31 K. Tsutsui , T. Tohyama , S. Maekawa

We report resonant inelastic x-ray measurements of insulating La$_2$CuO$_4$ and Sr$_2$CuO$_2$Cl$_2$ taken with the incident energy tuned near the Cu K absorption edge. We show that the spectra are well described in a shakeup picture in 3rd…

Strongly Correlated Electrons · Physics 2009-10-31 P. Abbamonte , C. A. Burns , E. D. Isaacs , P. M. Platzman , L. L. Miller , S. W. Cheong , M. V. Klein

A resonant inelastic x-ray scattering study of the electronic structure of the semiconductor cuprous oxide, $\rm Cu_2O$, is reported. When the incident x-ray energy is tuned to the Cu K-absorption edge, large enhancements of the spectral…

Materials Science · Physics 2012-06-18 Young-June Kim , J. P. Hill , H. Yamaguchi , T. Gog , D. Casa

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 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 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

The Cu K-edge resonant inelastic x-ray scattering (RIXS) spectrum in one-dimensional insulating cuprates is theoretically examined by using the exact diagonalization technique for the extended one-dimensional Hubbard model with nearest…

Strongly Correlated Electrons · Physics 2016-08-31 K. Tsutsui , T. Tohyama , S. Maekawa

We analyze theoretically the resonant inelastic x-ray scattering (RIXS) at the Ni K edge in the stripe-ordered state of La_{2-x}Sr_xNiO_4 at x=1/3. In the calculation of RIXS spectra, the stripe-ordered ground state is described within the…

Strongly Correlated Electrons · Physics 2012-01-18 Takuji Nomura , Eiji Kaneshita

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 provide a semiquantitative explanation of a recent experiment on the resonant inelastic x-ray scattering (RIXS) in insulating cuprate La2CuO4 (Y.J. Kim et al., Phys. Rev. Lett. 89, 177003 (2002).). We show theoretically that there are…

Strongly Correlated Electrons · Physics 2009-11-10 Takuji Nomura , Jun-ichi Igarashi

We analyze within quasi-particle theory a recent resonant inelastic x-ray scattering (RIXS) experiment on $\mathrm{YBa_2Cu_3O_{6+x}}$ with the incoming photon energy detuned at several values from the resonance maximum [Minola et al., Phys.…

Materials Science · Physics 2016-12-13 Márton Kanász-Nagy , Yifei Shi , Israel Klich , Eugene A. Demler

We investigate the problem of inelastic x-ray scattering in the spin$-{1/2}$ Heisenberg model on the square lattice. We first derive a momentum dependent scattering operator for the $A_{1g}$ and $B_{1g}$ polarization geometries. On the…

Strongly Correlated Electrons · Physics 2009-11-13 F. H. Vernay , M. J. P. Gingras , T. P. Devereaux

We report resonant inelastic x-ray scattering studies of electronic excitations in a wide variety of cuprate compounds. Specifically, we focus on the charge-transfer type excitation of an electron from a bonding molecular orbital to an…

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 develop a phenomenological theory to predict the characteristic features of the momentum-dependent scattering amplitude in resonant inelastic x-ray scattering (RIXS) at the energy scale of the superconducting gap in iron-based…

Superconductivity · Physics 2016-05-10 Pasquale Marra , Jeroen van den Brink , Steffen Sykora

We report particle-hole pair excitations in a cuprate insulator in the intermediate regimes of momentum-transfers using high energy inelastic x-ray scattering. The excitation spectra show dispersive features near the Mott edge which shed…

Strongly Correlated Electrons · Physics 2009-11-07 M. Z. Hasan , E. D. Isaacs , Z-X. Shen , L. L. Miller

We analyze the resonant inelastic x-ray scattering (RIXS) spectra at the Ni $K$ edge in an antiferromagnetic insulator NiO by applying the theory developed by the present authors. It is based on the Keldysh Green's function formalism, and…

Strongly Correlated Electrons · Physics 2009-11-11 Manabu Takahashi , Jun-ichi Igarashi , Takuji Nomura

We present a temperature and doping dependent resonant inelastic X-ray scattering experiment at the V L$_{2,3}$ and O K edges in La$_{1-x}$Sr$_x$VO$_3$ for $x=0$ and $x=0.1$. This material is a canonical example of a compound that exhibits…

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

The capability to probe the dispersion of elementary spin, charge, orbital, and lattice excitations has positioned resonant inelastic x-ray scattering (RIXS) at the forefront of photon science. Here we develop the scattering theory for RIXS…

Superconductivity · Physics 2015-04-10 Pasquale Marra , Steffen Sykora , Krzysztof Wohlfeld , Jeroen van den Brink
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