Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators

Abstract

We examine the momentum-dependent excitation spectra of indirect as well as direct resonant inelastic x-ray scattering (RIXS) processes in half-filled (extended) Hubbard rings. We determine the fundamental features of the groundstate RIXS response and discuss the experimental conditions that can allow for the low-energy part of these features to be distinguished in one-dimensional copper-oxide materials, focusing particularly on the different magnetic excitations occurring in indirect and direct RIXS processes. We study the dependence of spin and charge excitations on the choice of and detuning from resonance. Moreover, final state excitation weights are calculated as a function of the core-hole potential strength and lifetime. We show that these results can be used to determine material characteristics, such as the core-hole properties, from RIXS measurements.

7 pages, 4 figures; v2: references added, published version

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Cited by in corpus (39)

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• Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering
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• Description of resonant inelastic x-ray scattering in correlated metals
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• Unraveling higher-order corrections in the spin dynamics of RIXS spectra
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• Theoretical analysis of multi-magnon excitations in resonant inelastic x-ray scattering spectra of two-dimensional antiferromagnets
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• $K$ -edge and $L_3$ -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model
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• Effect of broken symmetry on resonant inelastic x-ray scattering from undoped cuprates
• Computing local multipoint correlators using the numerical renormalization group
• Detecting Crystallographic Lattice Chirality using Resonant Inelastic X-ray Scattering
• X-Ray Scattering from Light-Driven Spin Fluctuations in a Doped Mott Insulator
• Observation of spin-conserving two-spinon continuum in the $S$=1/2 antiferromagnetic chain system Sr${}_2$CuO${}_3$ using Cu $K$-edge resonant inelastic x-ray scattering
• Numerical study of resonant inelastic X-ray scattering at the oxygen $K$-edge in insulating cuprates
• CleaRIXS: A Fast and Accurate First-Principles Method for Simulation and Analysis of Resonant Inelastic X-ray Scattering
• Theory of dispersive optical phonons in resonant inelastic x-ray scattering experiments