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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

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 theoretically examine the momentum dependence of resonant inelastic x-ray scattering (RIXS) spectrum for one-dimensional and two-dimensional cuprates based on the single-band Hubbard model with realistic parameter values. The spectrum is…

Strongly Correlated Electrons · Physics 2007-05-23 T. Tohyama , K. Tsutsui , S. Maekawa

We calculate the resonant inelastic X-ray scattering (RIXS) response in a Mott insulator which is described by the Falicov-Kimball model. The model can be solved exactly within the single site dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2015-03-31 Nandan Pakhira , J. K. Freericks , A. M. Shvaika

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 study of elementary bosonic excitations is essential toward a complete description of quantum electronic solids. In this context, resonant inelastic X-ray scattering (RIXS) has recently risen to becoming a versatile probe of electronic…

Strongly Correlated Electrons · Physics 2019-01-23 M. Kang , J. Pelliciari , Y. Krockenberger , J. Li , D. E. McNally , E. Paris , R. Liang , W. N. Hardy , D. A. Bonn , H. Yamamoto , T. Schmitt , R. Comin

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. In this work, we will investigate how RIXS can…

Superconductivity · Physics 2016-05-13 Pasquale Marra

Despite significant progress in resonant inelastic x-ray scattering (RIXS) experiments on cuprates at the Cu L-edge, a theoretical understanding of the cross-section remains incomplete in terms of elementary excitations and the connection…

Strongly Correlated Electrons · Physics 2016-05-16 Chunjing Jia , Krzysztof Wohlfeld , Yao Wang , Brian Moritz , Thomas P. Devereaux

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 study the magnetic excitation spectra of L-edge resonant inelastic x-ray scattering (RIXS) from the spin singlet ground state in one-dimensional undoped cuprates. Analyzing the transition amplitudes of the magnetic excitations in the…

Strongly Correlated Electrons · Physics 2013-05-30 Jun-ichi Igarashi , Tatsuya Nagao

In the past decade, Resonant Inelastic X-ray Scattering (RIXS) has made remarkable progress as a spectroscopic technique. This is a direct result of the availability of high-brilliance synchrotron X-ray radiation sources and of advanced…

Strongly Correlated Electrons · Physics 2012-12-03 Luuk J. P. Ament , Michel van Veenendaal , Thomas P. Devereaux , John P. Hill , Jeroen van den Brink

High resolution resonant inelastic x-ray scattering (RIXS) has proven particularly effective in the determination of crystal field and spin excitations in cuprates. Its strength lies in the large Cu $L_{3}$ resonance and in the fact that…

We study the magnetic excitation spectra in L-edge resonant inelastic x-ray scattering (RIXS) from undoped cuprates. We analyze the second-order dipole allowed process that the strong perturbation works through the intermediate state in…

Strongly Correlated Electrons · Physics 2013-05-30 Jun-ichi Igarashi , Tatsuya Nagao

We show that, contrary to common lore, in resonant inelastic x-ray scattering (RIXS) at the copper L- and M-edge direct spin-flip scattering is in principle allowed. We demonstrate how this possibility can be exploited to probe the momentum…

Strongly Correlated Electrons · Physics 2015-05-13 L. J. P. Ament , G. Ghiringhelli , M. Moretti Sala , L. Braicovich , J. van den Brink

Resonant inelastic X-ray scattering (RIXS) detects various types of high- and low-energy elementary excitations in correlated solids, and this tool will play an increasingly important role in investigations of time-dependent phenomena in…

Strongly Correlated Electrons · Physics 2021-12-21 Philipp Werner , Steven Johnston , Martin Eckstein

Recent experiments show that indirect resonant inelastic X-ray scattering (RIXS) is a new probe of spin dynamics. Here I derive the cross-section for magnetic RIXS and determine the momentum dependent four-spin correlation function that it…

Strongly Correlated Electrons · Physics 2015-06-25 Jeroen van den Brink

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

We determine how the elementary excitations of iridium-oxide materials, which are dominated by a strong relativistic spin-orbit coupling, appear in Resonant Inelastic X-ray Scattering (RIXS). Whereas the RIXS spectral weight at the L2 x-ray…

Strongly Correlated Electrons · Physics 2012-12-03 Luuk J. P. Ament , Giniyat Khaliullin , Jeroen van den Brink

We study two-magnon excitations in resonant inelastic x-ray scattering (RIXS) at the transition-metal $K$-edge. Instead of working with effective Heisenberg spin models, we work with a Hubbard-type model ($d$-$p$ model) for a typical…

Strongly Correlated Electrons · Physics 2017-10-18 Takuji Nomura

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…

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