Three-body bound states in antiferromagnetic spin ladders

Schmiedinghoff, Gary; Müller, L.; Kumar, Umesh; Uhrig, Götz S.; Fauseweh, Benedikt

doi:10.1038/s42005-022-00986-0

Cited by 10 publications

(3 citation statements)

References 48 publications

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“…As for higher spin-transfer modes, the ΔS = 1 two-triplon bound state can be resolved in the Cu -edge RIXS cross-section in layered cuprate ladders, while the ΔS = 2 two-triplon anti-bound state generally resides in a higher-energy regime and largely overlaps with the two-triplon continuum upper boundary 56 . From strong to isotropic limit, the sizable ladder-rung coupling is expected to grant a spin-singlet two-triplon bound state along , with energies and momentum dispersion relation close to lowest-lying ΔS = 1 two-triplon excitations when r ~1 15 , 16 . This is consistent with our comparison between O K- and Cu -edge RIXS spectra shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Despite intensive theoretical and experimental studies, the detailed identification of the multi-triplon spectra has been challenging. Recent theories have revealed a series of low-energy excitations based on these ladder triplon modes, and yet their multi-particle nature has posed difficulties in experimental interpretation 15 , 16 , 19 . For the real-world synthesized spin-ladder systems or interacting spin-chains, the unbound multi-particle continua extending to high-energy regimes are generally low in scattering cross-section.…”

Section: Introductionmentioning

confidence: 99%

“…Specifically, the triplon bound states and continua modes bear a similar mathematical formalism with the multiparticle Majorana fermions [12][13][14] . This was theoretically formulated in the weak rung-coupling regime (r << 1), and then recently found to be applicable to the ladder excitation spectra in the vicinity of the isotropic coupling limit (r ~1) 13,15,16 . Furthermore, such multiplespin response has been shown to play a significant role in many other quantum material phases, e.g., Higgs modes in 2D Heisenberg models 17 , quadrupolar spin-flip processes in multiferroics, spin-nematic materials 18 , etc.…”

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confidence: 99%

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Momentum-resolved spin-conserving two-triplon bound state and continuum in a cuprate ladder

Tseng¹,

Paris²,

Schmidt³

et al. 2023

Commun Phys

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Studying multi-particle elementary excitations has provided unique access to understand collective many-body phenomena in correlated electronic materials, paving the way towards constructing microscopic models. In this work, we perform O K-edge resonant inelastic X-ray scattering (RIXS) on the quasi-one-dimensional cuprate $${{{{{{\rm{Sr}}}}}}}_{14}{{{{{{\rm{Cu}}}}}}}_{24}{{{{{{\rm{O}}}}}}}_{41}$$ Sr 14 Cu 24 O 41 with weakly-doped spin ladders. The RIXS signal is dominated by a dispersing sharp mode ~ 270 meV on top of a damped incoherent component ~ 400-500 meV. Comparing with model calculations using the perturbative continuous unitary transformations method, the two components resemble the spin-conserving ΔS = 0 two-triplon bound state and continuum excitations in the spin ladders. Such multi-spin response with long-lived ΔS = 0 excitons is central to several exotic magnetic properties featuring Majorana fermions, yet remains unexplored given the generally weak cross-section with other experimental techniques. By investigating a simple spin-ladder model system, our study provides valuable insight into low-dimensional quantum magnetism.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Momentum-resolved spin-conserving two-triplon bound state and continuum in a cuprate ladder

Tseng¹,

Paris²,

Schmidt³

et al. 2023

Commun Phys

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Crossover of high-energy spin fluctuations from collective triplons to localized magnetic excitations in Sr14−xCaxCu24O41 ladders

et al. 2022

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We studied the magnetic excitations in the quasi-one-dimensional (q-1D) ladder subsystem of Sr14−xCaxCu24O41 (SCCO) using Cu L3-edge resonant inelastic X-ray scattering (RIXS). By comparing momentum-resolved RIXS spectra with high (x = 12.2) and without (x = 0) Ca content, we track the evolution of the magnetic excitations from collective two-triplon (2 T) excitations (x = 0) to weakly-dispersive gapped modes at an energy of 280 meV (x = 12.2). Density matrix renormalization group (DMRG) calculations of the RIXS response in the doped ladders suggest that the flat magnetic dispersion and damped excitation profile observed at x = 12.2 originates from enhanced hole localization. This interpretation is supported by polarization-dependent RIXS measurements, where we disentangle the spin-conserving ΔS = 0 scattering from the predominant ΔS = 1 spin-flip signal in the RIXS spectra. The results show that the low-energy weight in the ΔS = 0 channel is depleted when Sr is replaced by Ca, consistent with a reduced carrier mobility. Our results demonstrate that off-ladder impurities can affect both the low-energy magnetic excitations and superconducting correlations in the CuO4 plaquettes. Finally, our study characterizes the magnetic and charge fluctuations in the phase from which superconductivity emerges in SCCO at elevated pressures.

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Electronic density response of warm dense matter

et al. 2023

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Matter at extreme temperatures and pressures—commonly known as warm dense matter (WDM)—is ubiquitous throughout our Universe and occurs in astrophysical objects such as giant planet interiors and brown dwarfs. Moreover, WDM is very important for technological applications such as inertial confinement fusion and is realized in the laboratory using different techniques. A particularly important property for the understanding of WDM is given by its electronic density response to an external perturbation. Such response properties are probed in x-ray Thomson scattering (XRTS) experiments and are central for the theoretical description of WDM. In this work, we give an overview of a number of recent developments in this field. To this end, we summarize the relevant theoretical background, covering the regime of linear response theory and nonlinear effects, the fully dynamic response and its static, time-independent limit, and the connection between density response properties and imaginary-time correlation functions (ITCF). In addition, we introduce the most important numerical simulation techniques, including path-integral Monte Carlo simulations and different thermal density functional theory (DFT) approaches. From a practical perspective, we present a variety of simulation results for different density response properties, covering the archetypal model of the uniform electron gas and realistic WDM systems such as hydrogen. Moreover, we show how the concept of ITCFs can be used to infer the temperature from XRTS measurements of arbitrary complex systems without the need for any models or approximations. Finally, we outline a strategy for future developments based on the close interplay between simulations and experiments.

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Three-body bound states in antiferromagnetic spin ladders

Cited by 10 publications

References 48 publications

Momentum-resolved spin-conserving two-triplon bound state and continuum in a cuprate ladder

Momentum-resolved spin-conserving two-triplon bound state and continuum in a cuprate ladder

Crossover of high-energy spin fluctuations from collective triplons to localized magnetic excitations in Sr14−xCaxCu24O41 ladders

Electronic density response of warm dense matter

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