Inelastic x-ray scattering as a probe of electronic correlations

Devereaux, T. P.; McCormack, Gary; Freericks, J. K.

doi:10.1103/physrevb.68.075105

Cited by 10 publications

(10 citation statements)

References 53 publications

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“…The expressions for χ ′ 0 and χ0 derived above appear to be different from the ones given in Ref. 18. In fact, they are identical (but require some significant algebra to show this); the forms presented above are more convenient for numerical calculations.…”

Section: B Nonresonant Inelastic Scatteringmentioning

confidence: 80%

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Nonresonant Raman and inelastic x-ray scattering in the charge-density-wave phase of the spinless Falicov-Kimball model

2009

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The dynamical mean-field theory formalism to describe nonresonant inelastic light and x-ray scattering in a charge-density-wave phase is developed and applied to the spinless Falicov-Kimball model on an infinitedimensional hypercubic lattice at half-filling. At zero temperature, the charge gap in the density of states is exactly equal to U; increasing the temperature rapidly fills the gap with subgap states. The nonresonant response function for Raman and inelastic x-ray scattering shows peaks connected with transitions over the gap and transitions that involve subgap states; in addition, the spectra have significant changes in shape as the temperature is raised from zero to T c . In the case of x-ray scattering ͑when both energy and momentum are transferred͒, the response function illustrates features of dynamical screening ͑vertex corrections͒ in the different ͑nonresonant͒ symmetry channels ͑A 1g and B 1g ͒; dynamical screening is also present in the A 1g Raman signal. Finally, we derive and verify the first-moment sum rules for the ͑nonresonant͒ Raman and inelastic x-ray response functions in the charge-density-wave phase and we discuss experimental implications for how the sum rules might be employed in data analysis.

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Section: B Nonresonant Inelastic Scatteringmentioning

confidence: 80%

“…1 together with the Bethe-Salpeter equation in Fig. 4 contain several momentum summations which can be evaluated separately 18 . First, the bare susceptibility in Eq.…”

Section: B Nonresonant Inelastic Scatteringmentioning

confidence: 99%

Nonresonant Raman and inelastic x-ray scattering in the charge-density-wave phase of the spinless Falicov-Kimball model

2009

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“…The nonresonant part of the RIXS response is found to be related to the density-density correlation function. To be precise, the nonresonant part is proportional to the dynamical structure factor 44 , S(q, Ω) which is given by…”

Section: Rixs Response In the Falicov-kimball Modelmentioning

confidence: 99%

Resonant inelastic x-ray scattering in a Mott insulator

2012

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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) approximation and the RIXS response can also be calculated accurately up to a local background correction. We find that on resonance the RIXS response is greatly enhanced. The response systematically evolves from a single peak structure, arising due to relaxation processes within the lower Hubbard band, to a two peak structure, arising due to relaxation processes within the upper Hubbard band and across the Mott gap into the lower Hubbard band. This occurs as we vary the incident photon frequency to allow excitations from the lower Hubbard band to the upper Hubbard band. The charge transfer excitations are found to disperse monotonically as we go from the center of the Brillouin zone towards the zone corner. These correlation induced features have been observed by Hasan et. al. (Science 288, 1811 (2000)) and many other experimentalists in RIXS measurements over various transition metal oxide compounds. They are found to be robust and survive even for large Auger lifetime broadening effects which can mask the many-body effects by smearing out spectral features. As a comparison, we also calculate the dynamic structure factor for this model, which is proportional to the nonresonant part of the response, and does not show these specific signatures.

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“…We neglect hopping between the layers as well as a small contribution to γ from second-nearest neighbor hoppings ∼ t ′ . Similarly, inelastic light and non-resonant X-ray scattering are determined by the Raman or the X-ray scattering amplitude which corresponds to the following expression for γ 7 ,…”

Section: Introductionmentioning

confidence: 99%

Collective excitations in unconventional charge-density wave systems

Greco¹,

Zeyher²

2006

Phys. Rev. B

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The excitation spectrum of the t-J model is studied on a square lattice in the large $N$ limit in a doping range where a $d$-$density$-$wave$ (DDW) forms below a transition temperature $T^\star$. Characteristic features of the DDW ground state are circulating currents which fluctuate above and condense into a staggered flux state below $T^\star$ and density fluctuations where the electron and the hole are localized at different sites. General expressions for the density response are given both above and below $T^\star$ and applied to Raman, X-ray, and neutron scattering. Numerical results show that the density response is mainly collective in nature consisting of broad, dispersive structures which transform into well-defined peaks mainly at small momentum transfers. One way to detect these excitations is by inelastic neutron scattering at small momentum transfers where the cross section (typically a few per cents of that for spin scattering) is substantially enhanced, exhibits a strong dependence on the direction of the transferred momentum and a well-pronounced peak somewhat below twice the DDW gap. Scattering from the DDW-induced Bragg peak is found to be weaker by two orders of magnitude compared with the momentum-integrated inelastic part.Comment: 10 pages, 8 figure

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Inelastic x-ray scattering as a probe of electronic correlations

Cited by 10 publications

References 53 publications

Nonresonant Raman and inelastic x-ray scattering in the charge-density-wave phase of the spinless Falicov-Kimball model

Nonresonant Raman and inelastic x-ray scattering in the charge-density-wave phase of the spinless Falicov-Kimball model

Resonant inelastic x-ray scattering in a Mott insulator

Collective excitations in unconventional charge-density wave systems

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