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We investigate theoretically the resonant inelastic x-ray scattering (RIXS) at the $K$ edge of Si on the basis of an ab initio calculation. We calculate the RIXS spectra with systematically varying transfered-momenta, incident-photon energy…

Materials Science · Physics 2007-05-23 Yunori Nisikawa , Manabu Usuda , Jun-ichi Igarashi

X-ray resonant scattering at the K-edge of transition metal oxides is shown to measure the orbital order parameter, supposed to accompany magnetic ordering in some cases. Virtual transitions to the 3d-orbitals are quadrupolar in general. In…

Strongly Correlated Electrons · Physics 2009-10-30 Michele Fabrizio , Massimo Altarelli , Maurizio Benfatto

We derive an expression for the scattering amplitude of resonant x-ray scattering under the assumption that the Hamiltonian describing the intermediate state preserves spherical symmetry. On the basis of this expression, we demonstrate that…

Strongly Correlated Electrons · Physics 2015-06-25 Tatsuya Nagao , Jun-ichi Igarashi

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

The structural, magnetic and electronic properties of transition metal oxides reflect in atomic charge, spin and orbital degrees of freedom. Resonant x-ray scattering (RXS) allows us to perform an accurate investigation of all these…

Strongly Correlated Electrons · Physics 2015-05-14 G. Subías , Joaquín García , Blasco Javier , Javier Herrero-Martin , María Concepción Sanchez

The polarization of K-edge resonant scattering at the space group ``forbidden'' (0 0 6) reflection of Ge was measured as function of the azimuthal angle, psi. The experimental results are compared to model calculations based on symmetry…

Strongly Correlated Electrons · Physics 2014-09-25 C. Detlefs

We study the resonant x-ray scattering (RXS) spectra of CeB_{6} in an antiferroquadrupole (AFQ) ordering phase, near the Ce L_3 edge under the applied magnetic field H // (-1,1,0). On the basis of a localized electron model equipped with a…

Strongly Correlated Electrons · Physics 2010-07-13 Tatsuya Nagao , Jun-ichi Igarashi

Complete polarization analysis applied to resonant x-ray scattering at the Cr K-edge in K2CrO4 shows that incident linearly polarized x-rays can be converted into circularly polarized x-rays by diffraction at the Cr pre-edge (E = 5994 eV).…

Strongly Correlated Electrons · Physics 2009-11-11 C. Mazzoli , S. B. Wilkins , S. Di Matteo , B. Detlefs , C. Detlefs , V. Scagnoli , L. Paolasini , P. Ghigna

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 develop a simple tensorial contraction method to obtain analytical formula for X-ray resonant magnetic scattering. We apply the method considering first electric dipole-dipole and electric quadrupole-quadrupole scattering in the isolated…

Other Condensed Matter · Physics 2007-06-28 Alessandro Mirone

We have performed a quantitative analysis of recent resonant x-ray scattering experiments carried out in the antiferromagnetic phase of V$_2$O$_3$ by means of numerical ab-initio simulations. In order to treat magnetic effects, we have…

Strongly Correlated Electrons · Physics 2025-04-14 Y. Joly , S. Di Matteo , C. R. Natoli

We investigate the mechanism of the resonant X-ray scattering on the Ti $K$ edge region of YTiO$_3$ using the band structure calculation combined with the local density approximation. A large intensity is obtained for the orbital…

Strongly Correlated Electrons · Physics 2007-05-23 Manabu Takahashi , Jun-ichi Igarashi

We theoretically investigate the origin of the resonant x-ray scattering (RXS) signal near the Ce $L_{III}$ absorption edge in the quadrupolar ordering phase of CeB$_6$, considering the intersite interaction between the $\Gamma_8$ states in…

Strongly Correlated Electrons · Physics 2009-11-07 Tatsuya Nagao , Jun-ichi Igarashi

Based on a localized crystal electric field model for the U^{4+} in the (5f)^2-configuration, we analyze the resonant x-ray scattering spectra around U M_{IV} and M_{V} edges in URu_{2}Si_{2}, taking full Coulomb and spin-orbit interactions…

Strongly Correlated Electrons · Physics 2009-11-10 Tatsuya Nagao , Jun-ichi Igarashi

We study the electric quadrupole (E2) contribution to resonant x-ray scattering (RXS). Under the assumption that the rotational invariance is preserved in the Hamiltonian describing the intermediate state of scattering, we derive a useful…

Strongly Correlated Electrons · Physics 2009-11-11 Tatsuya Nagao , Jun-ichi Igarashi

The polarization of x-rays plays an outstanding role in experimental techniques such as non-resonant magnetic x-ray scattering and resonant x-ray scattering of magnetic and multipolar order. Different instrumental methods applied to…

Strongly Correlated Electrons · Physics 2014-09-24 C. Detlefs , M. Sanchez del Rio , C. Mazzoli

We study resonant x-ray scattering (RXS) at Np M_{4,5} edges in the triple-\textbf{k} multipole ordering phase in NpO_{2}, on the basis of a localized electron model. We derive an expression for RXS amplitudes to characterize the spectra…

Strongly Correlated Electrons · Physics 2015-06-25 Tatsuya Nagao , Jun-ichi Igarashi

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

In this talk, we present the first chiral extrapolation of a resonant scattering amplitude obtained from lattice QCD. Finite-volume spectra, determined by the Hadron Spectrum Collaboration at $m_\pi = 236$ MeV, for the isotriplet $\pi\pi$…

Nuclear Theory · Physics 2016-06-22 Daniel R. Bolton , Raúl A. Briceño , David J. Wilson

A spherical tensor expansion is carried out to express the resonant inelastic scattering cross-section as a sum of products of fundamental spectra with tensors involving wavevectors and polarization vectors of incident and scattered…

Strongly Correlated Electrons · Physics 2014-05-20 Amélie Juhin , Christian Brouder , Frank De Groot
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