Theory of electron-phonon interactions in extended correlated systems probed by resonant inelastic x-ray scattering

Abstract

An emerging application of resonant inelastic x-ray scattering (RIXS) is the study of lattice excitations and electron-phonon ($e$-ph) interactions in quantum materials. Despite the growing importance of this area of research, the community lacks a complete understanding of how the RIXS process excites the lattice and how these excitations encode information about the $e$-ph interactions. Here, we present a detailed study of the RIXS spectra of the Hubbard-Holstein model defined on extended one-dimensional lattices. Using the density matrix renormalization group (DMRG) method, we compute the RIXS response while treating the electron mobility, many-body interactions, and core-hole interactions on an equal footing. The predicted spectra exhibit notable differences from those obtained using the commonly adopted Lang-Firsov models, with important implications for analyzing past and future experiments. Our results provide a deeper understanding of how RIXS probes $e$-ph interactions and set the stage for a more realistic analysis of future experiments.

References in corpus (63)

• Real time evolution using the density matrix renormalization group
• Dynamical density-matrix renormalization-group method
• Spin-Orbital Separation in the quasi 1D Mott-insulator Sr2CuO3
• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Resonant X-rays at the Cu L-edge as a momentum dependent probe of the magnetic excitation spectrum in cuprates
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Anomalously Strong Near-Neighbor Attraction in Doped 1D Cuprate Chains
• Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ
• Covalent bonding and magnetism in cuprates
• The Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Determining the Electron-Phonon Coupling Strength in Correlated Electron Systems from Resonant Inelastic X-ray Scattering
• Witnessing entanglement in quantum magnets using neutron scattering
• The Density Matrix Renormalization Group for Strongly Correlated Electron Systems: A Generic Implementation
• Directly characterizing the relative strength and momentum dependence of electron-phonon coupling using resonant inelastic x-ray scattering
• Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates
• Phase diagram for the one-dimensional Hubbard-Holstein model: A density-matrix renormalization group study
• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
• Direct observation of multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3
• Experimental Determination of Momentum-Resolved Electron-Phonon Coupling
• Using RIXS to uncover elementary charge and spin excitations in correlated materials
• Electron-lattice interactions strongly renormalize the charge transfer energy in the spin-chain cuprate Li${}_2$CuO${}_2$
• Nature of the charge-density wave excitations in cuprates
• Superconductivity, charge-density waves, antiferromagnetism, and phase separation in the Hubbard-Holstein model
• The Spin-Exchange Dynamical Structure Factor of the S=1/2 Heisenberg Chain
• Anisotropic spin freezing in the S=1/2 zigzag ladder compound SrCuO2
• Multi-orbital charge density wave excitations and concomitant phonon anomalies in Bi${}_2$Sr${}_2$LaCuO${}_{6+\delta }$
• Charge-orbital-lattice coupling effects in the dd-excitation profile of one dimensional cuprates
• Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators
• Theory for Time-Resolved Resonant Inelastic X-ray Scattering
• Enhanced electron-phonon coupling for charge-density-wave formation in La${}_{1.8-x}$Eu${}_{0.2}$Sr${}_x$CuO${}_{4+\delta }$
• Resonant inelastic x-ray scattering in one-dimensional copper oxides
• Determining the Electron-Phonon Coupling in Superconducting Cuprates by Resonant Inelastic X-ray Scattering: Methods and Results on Nd${}_{1+x}$Ba${}_{2-x}$Cu${}_3$O${}_{7-\delta }$
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Exploring Quantum Materials with Resonant Inelastic X-Ray Scattering
• Observation of phonons with resonant inelastic x-ray scattering
• Femtosecond dynamics of magnetic excitations from resonant inelastic x-ray scattering in CaCu2O3
• Demonstration of resonant inelastic X-ray scattering as a probe of exciton-phonon coupling
• Traces of Electron-Phonon Coupling in One-Dimensional Cuprates
• Charge Order Lock-in by Electron-Phonon Coupling in La${}_{1.675}$Eu${}_{0.2}$Sr${}_{0.125}$CuO${}_4$
• Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method
• Decoupling carrier concentration and electron-phonon coupling in oxide heterostructures observed with resonant inelastic x-ray scattering
• High-resolution resonant inelastic x-ray scattering study of the electron-phonon coupling in honeycomb $\alpha$-Li${}_2$IrO${}_3$
• Particle-hole asymmetry in the dynamical spin and charge structure factors of the corner-shared one-dimensional cuprates
• Generalization of the Franck-Condon model for phonon excitations by resonant inelastic X-ray scattering
• Doping dependence of magnetic excitations of 1D cuprates as probed by Resonant Inelastic x-ray Scattering
• Multi-spinon and holon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets
• Large polarons as key quasiparticles in SrTiO3 and SrTiO3-based heterostructures
• Density waves in strongly correlated quantum chains
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Lattice coupling and Franck-Condon effects in K-edge resonant inelastic X-ray scattering
• Probing electron-phonon interactions away from the Fermi level with resonant inelastic x-ray scattering
• Unraveling higher-order corrections in the spin dynamics of RIXS spectra
• Doping-dependence of the electron-phonon coupling in two families of bilayer superconducting cuprates
• Itineracy Effects on Spin Correlations in 1D Mott Insulators
• Non-perturbative series expansion of Green's functions: The Anatomy of Resonant Inelastic X-Ray Scattering in Doped Hubbard Model
• Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
• Crossover of the high-energy spin fluctuations from collective triplons to localized magnetic excitations in doped Sr14-xCaxCu24O41 cuprate ladders
• Low temperature dynamic polaron liquid in a manganite exhibiting colossal magnetoresistance
• Signatures of the Attractive Interaction in Spin Spectra of One-dimensional Cuprate Chains
• The Influence of Extended Interactions on Spin Dynamics in One-dimensional Cuprates
• Resonant Inelastic X-Ray Scattering in Metals: A Diagrammatic Approach

Cited by in corpus (2)

• Persistence of small polarons into the superconducting phase of Ba${}_{1-x}$K${}_x$BiO${}_3$
• Polarization dependency in Resonant Inelastic X-Ray Scattering