Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering

Abstract

Resonant inelastic x-ray scattering (RIXS) has become an important tool for studying elementary excitations in correlated materials. Here, we present a systematic theoretical investigation of the Cu L-edge RIXS spectra of undoped and doped cuprate two-leg spin-ladders in both the non-spin-conserving (NSC) and spin-conserving (SC) channels. The spectra are rich and host many exotic excitations. In the NSC-channel of the undoped case, we identify one-triplon and bound $\text{triplet}$ two-triplon excitations in the strong-rung coupling limit, as well as confined spinons in the weak-rung coupling limit. In the doped case, we observe a quasiparticle excitation formed from a bound charge and spin-$\frac{1}{2}$ in the strong-rung coupling limit. In the SC-channel, we also identify several new features, including bound $\text{singlet}$ two-triplon excitations and confined spinons in the undoped ladders in the strong- and weak-rung coupling limits, respectively. Conversely, in the doped case, the SC channel primarily probes both gapless and gapped charge excitations. Finally, we revisit the available data for the ladder compound Sr${}_{14}$Cu${}_{24}$O${}_{41}$ in the context of our results.

arXiv comment14 pages, 11 figures

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• Emergence of Superconductivity in Doped Multiorbital Hubbard Chains
• Three-body bound states in antiferromagnetic spin ladders
• Unraveling higher-order corrections in the spin dynamics of RIXS spectra
• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• Root-N Krylov-space correction-vectors for spectral functions with the density matrix renormalization group
• Crossover of the high-energy spin fluctuations from collective triplons to localized magnetic excitations in doped Sr14-xCaxCu24O41 cuprate ladders
• Beyond-Hubbard pairing in a cuprate ladder
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• Exact dynamics of two holes in two-leg antiferromagnetic ladders
• Softening of $dd$ excitation in the resonant inelastic x-ray scattering spectra as a signature of Hund's coupling in nickelates
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