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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

Nonresonant inelastic x-ray scattering (NIXS) is a possible tool to detect charge excitations in electron systems. In addition, multipole transitions at high-momentum-transfer region open a new possibility to determine orbital-selective…

Strongly Correlated Electrons · Physics 2015-11-11 Kenji Tsutsui , Eiji Kaneshita , Takami Tohyama

Resonant inelastic x-ray scattering (RIXS) is an evolving tool for investigating spin dynamics of strongly correlated materials, which complements inelastic neutron scattering. Both techniques have found that non-spin-conserving (NSC)…

We develop a framework to evaluate the time-dependent resonant inelastic X-ray scattering (RIXS) signal with the use of non-equilibrium dynamical mean field theory simulations. The approach is based on the solution of a time-dependent…

Strongly Correlated Electrons · Physics 2021-03-24 Martin Eckstein , Philipp Werner

To fully capitalize on the potential and versatility of resonant inelastic x-ray scattering (RIXS), it is essential to develop the capability to interpret different RIXS contributions through calculations, including the dependence on…

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 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

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

Core hole resonance is used in X-ray spectroscopy to incisively probe the local electronic states of many-body systems. Here, resonant inelastic X-ray scattering (RIXS) is studied as a function of incident photon energy on Mott insulators…

Strongly Correlated Electrons · Physics 2016-12-14 L. Andrew Wray , Shih-Wen Huang , Yuqi Xia , M. Zahid Hasan , Charles Mathy , Hiroshi Eisaki , Zahid Hussain , Yi-De Chuang

The control and detection of crystallographic chirality is an important and challenging scientific problem. Chirality has wide ranging implications from medical physics to cosmology including an intimate but subtle connection in magnetic…

Strongly Correlated Electrons · Physics 2019-09-06 Sean Mongan , Zengye Huang , Trinanjan Datta , Takuji Nomura , Dao-Xin Yao

We develop a formalism to study indirect resonant inelastic x-ray scattering (RIXS) in systems with itinerant electrons, accounting for the attraction between valence electrons and the positively-charged core hole exactly, and apply this…

Strongly Correlated Electrons · Physics 2014-07-16 David Benjamin , Israel Klich , Eugene Demler

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

Resonant Inelastic X-ray Scattering (RIXS), which probes the occupied and unoccupied electronic subspaces in an interrelated fashion, is one of the most detailed, complex and information-rich experimental techniques employed in the…

Materials Science · Physics 2022-09-16 Subhayan Roychoudhury , David Prendergast

We develop a formalism to study the Resonant Inelastic X-ray Scattering (RIXS) response in metals based on the diagrammatic expansion for its cross section. The standard approach to the solution of the RIXS problem relies on two key…

Strongly Correlated Electrons · Physics 2019-11-20 A. M. Tsvelik , R. M. Konik , N. V. Prokof'ev , I. S. Tupitsyn

Young's archetypal double-slit experiment forms the basis for modern diffraction techniques: the elastic scattering of waves yields an interference pattern that captures the real-space structure. Here, we report on an inelastic incarnation…

We study resonant inelastic x-ray scattering (RIXS) peaks corresponding to low energy particle-hole excited states of metallic FeTe and semi-metallic TiSe$_2$ for photon incident energy tuned near the $L_{3}$ absorption edge of Fe and Ti…

Materials Science · Physics 2014-07-04 B. Barbiellini , J. N. Hancock , C. Monney , Y. Joly , G. Ghiringhelli , L. Braicovich , T. Schmitt

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

Resonant inelastic X-ray scattering (RIXS) is a powerful probe of elementary excitations in solids. It is now widely applied to study magnetic excitations. However, its complex cross-section means that RIXS has been more difficult to…

Strongly Correlated Electrons · Physics 2021-06-30 H. C. Robarts , M. Garcia-Fernandez , J. Li , A. Nag , A. C. Walters , N. E. Headings , S. M. Hayden , Ke-Jin Zhou

Resonant inelastic x-ray scattering (RIXS) is a well-established tool for studying electronic, nuclear and collective dynamics of excited atoms, molecules and solids. An extension of this powerful method to a time-resolved probe technique…

Chemical Physics · Physics 2015-11-03 Victor Kimberg , Nina Rohringer

We present a computational study of $L$-edge resonant inelastic x-ray scattering (RIXS) in correlated 3$d$ transition-metal oxides using an $ab$ $initio$ method based on local density approximation + dynamical mean-field theory (DMFT). The…

Strongly Correlated Electrons · Physics 2020-03-25 Atsushi Hariki , Mathias Winder , Takayuki Uozumi , Jan Kuneš