Theory of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>L</mml:mi></mml:math>-edge resonant inelastic x-ray scattering for magnetic excitations in two-leg spin ladders

Nagao, Tatsuya; Igarashi, Jun–ichi

doi:10.1103/physrevb.85.224436

Cited by 9 publications

(21 citation statements)

References 51 publications

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“…It was later shown that not only is this channel allowed but that it dominates the magnetic RIXS response in the undoped cuprates [31]. The RIXS spectra were later theoretically evaluated [8] employing a projection method for the two-leg ladder using the parameter set derived from La 4 Sr 10 Cu 24 O 41 in Ref. 23 (the model involved additional ring spin-exchange term as compared to our model).…”

Section: Revisiting Sr14cu24o41 Rixs Datamentioning

confidence: 99%

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

et al. 2019

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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-spinconserving (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 triplet two-triplon excitations in the strong-rung coupling limit, as well as confined spinons in the weakrung coupling limit. In the doped case, we observe a quasiparticle excitation formed from a bound charge and spin-1 2 in the strong-rung coupling limit. In the SC-channel, we also identify several new features, including bound 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 Sr14Cu24O41 in the context of our results. arXiv:1904.00530v1 [cond-mat.str-el] 1 Apr 2019

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Section: Revisiting Sr14cu24o41 Rixs Datamentioning

confidence: 99%

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

et al. 2019

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“…In undoped cuptares, using the Heisenberg model, the RIXS spectra arising from magnetic excitations have been calculated within the fast collision approximation 34,35 and with using a "projection" method to take account of the two-magnon excitations. [36][37][38] The present approximation scheme is unable to discuss such behavior in the strong coupling. To deal with the metallic phase with strong correlations, the present formalism for itinerant electron systems has to be extended by improving the HFA and the ladder approximation.…”

Section: Discussionmentioning

confidence: 84%

“…Although the spectra have been analyzed within the fast-collision approximation, 16,34,35 it could explain only the one-magnon contribution. The present authors have developed a "projection" method to go beyond the fast collision approximation, [36][37][38] and have explained quantitatively the spectral shape. These analyses are based on the localized spin model and utilize the 1/S expansion 39,40 to include the magnon-magnon interaction.…”

Section: Introductionmentioning

confidence: 99%

Elementary excitations probed byL-edge resonant inelastic x-ray scattering in systems with weak and intermediate electron correlations

Igarashi

Nagao

2013

Phys. Rev. B

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We develop a formalism to calculate the L-edge resonant x-ray scattering (RIXS) spectra from transition-metal compounds. Using a multiorbital tight-binding model, we derive useful formulas to calculate the spectra by collecting up the ladder diagrams on the basis of the Keldysh scheme, without relying on the fast collision approximation. They are feasible in the weak and intermediate coupling regimes of itinerant electron systems, where the charge and the magnetic excitations are mixed together. We examine the difference between the present formulas and those of the fast collision approximation. Finally, to demonstrate how our theory works, we employ the formulas to study the RIXS spectra on a simple model, the single-orbital Hubbard model on the square lattice at half filling. The intensities originated from the magnon and from the continuous states are obtained on the equal footing in the antiferromagnetic ground state.

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“…Next, we compare our two-dimensional dimerized Heisenberg system results to those of the quasi-1D spin ladder materials [43,44]. Experimentally Braicovich et.…”

Section: A K-edge Rixsmentioning

confidence: 99%

“…Resonant inelastic x-ray scattering can detect selection rule allowed triplon excitations with ∆S = 0, 1, 2, where ∆S refers to spin angular momentum change. In fact, experimental and theoretical RIXS efforts related to the study of triplon excitation for two-leg spin ladder have been reported in the literature [43][44][45]. The experimental study found two-triplon excitation signal in the spin ladder [33].…”

Section: Introductionmentioning

confidence: 99%

K -edge and L3 -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model

He¹,

Datta²,

Yao³

2020

Phys. Rev. B

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We compute the K and L 3 -edge resonant inelastic x-ray scattering (RIXS) spectrum of the columnar and the staggered quantum dimer states accessible to the square lattice Heisenberg magnet. Utilizing a bond operator representation mean field theory we investigate the RIXS features of the one-and two-triplon excitation spectrum supported by the quantum dimer model in the background of condensed singlet excitation. We find that the two-triplon excitation boundary lies within a 124 (78) meV to 414 (345) meV energy range for the columnar (staggered) phase. We estimated the two-triplon gap to be 124 (78) meV for the columnar (staggered) dimer phase. The highest intensity of the K -edge RIXS spectrum is centralized approximately around the (π/2, π/2) point for both the columnar and the staggered phases. At the L 3 -edge we study the one-and two-triplon signal considering experimental scattering geometry, polarization restriction, and experimental resolution effects. Our calculations find an additional contribution to the two-triplon RIXS signal, not previously reported in the literature, that originates from the local hard-core dimer constraint. This leads to a finite non-zero signal at the (0,0) momentum transfer which can offer an explanation for the existing ladder RIXS experiments and also predicts a non-zero signal for the two-dimensional quantum dimer system. We find that the L 3 edge RIXS response of the one-and two-triplon signal could exist in antiphase rung modulation for zero and π as found in inelastic neutron scattering. We also consider static crystal twinning at the L 3 -edge RIXS signal to mimic realistic crystal effects. Since the disordered phase has the potential to harbor a variety of quantum paramagnetic states, our RIXS calculations provide useful signatures to identify the true nature of the ordering pattern. PACS number(s): 78.70. Ck, 75.10.Jm

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Theory ofL-edge resonant inelastic x-ray scattering for magnetic excitations in two-leg spin ladders

Cited by 9 publications

References 51 publications

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

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

Elementary excitations probed byL-edge resonant inelastic x-ray scattering in systems with weak and intermediate electron correlations

K -edge and L3 -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model

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