Resonant inelastic X-ray scattering in a Mott insulator

Abstract

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 calculated RIXS response is accurate up to a local background correction. We find that on resonance the RIXS response is greatly enhanced over various other non-resonant background effects and 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 as well as across the Mott gap into the lower Hubbard band, as we vary the incident photon frequency to access states from the bottom of the lower Hubbard band to the top of the upper Hubbard band. The charge transfer excitations are found to disperse monotonically outwards (as a function of transfered energy) as we go from the center of the Brillouin zone towards the zone corner. These correlation induced features have been observed by Hasan {\it et. al.} (Science {\bf 288}, 1811 (2000)) and many other experimentalists in RIXS measurements over various transition metal oxide compounds and are found to be robust and survive even for large Auger lifetime broadening effects. 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.

14 pages, 14 figures, submitted to Physical Review B

References in corpus (7)

• Observation of a 500meV Collective Mode in La${}_{2-x}$Sr${}_x$CuO${}_4$ and Nd${}_2$CuO${}_4$
• Momentum Dependence of Charge Excitations in the Electron-Doped Superconductor Nd1.85Ce0.15CuO4: a RIXS Study
• Mott gap excitations in twin-free YBa2Cu3O7-d (Tc = 93 K) studied by RIXS
• Cu $K$-edge Resonant Inelastic X-Ray Scattering in Edge-Sharing Cuprates
• Electronic Raman scattering in correlated materials: exact treatment of nonresonant, mixed, and resonant scattering with dynamical mean field theory
• Momentum dependent light scattering in insulating cuprates
• Analysis of Incident-Photon-Energy and Polarization Dependent Resonant Inelastic X-Ray Scattering from La${}_2$CuO${}_4$

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• Resonant inelastic x-ray scattering study of vector chiral ordered kagome antiferromagnet
• Orbital breathing effects in the computation of x-ray d-ion spectra in solids by ab initio wave-function-based methods
• Torque equilibrium spin wave theory study of anisotropy and Dzyaloshinskii-Moriya interaction effects on the indirect K$-$ edge RIXS spectrum of a triangular lattice antiferromagnet
• Exact solution of a variety of X-ray probes in the Falicov-Kimball model with dynamical mean-field theory
• Microscopic Analysis of Resonant Inelastic X-Ray Scattering in Orbital-Ordered KCuF3
• Two-magnon excitations in resonant inelastic x-ray scattering studied by spin-density-wave formalism
• $K$ -edge and $L_3$ -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model
• Electron-hole asymmetry in electron systems with orbital degeneracy and correlated hopping
• Indirect K-edge bimagnon resonant inelastic X-ray scattering spectrum of $\alpha$-FeTe
• Detecting Crystallographic Lattice Chirality using Resonant Inelastic X-ray Scattering