Resonant inelastic x-ray scattering as a probe of band structure effects in cuprates

Kanász-Nagy, Márton; Shi, Yifei; Klich, Israel; Demler, Eugene

doi:10.1103/physrevb.94.165127

Cited by 20 publications

(21 citation statements)

References 44 publications

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“…It is important to note that, even in this case, these charge excitations are weaker in intensity when compared to the magnetic excitations in NSC channel by approximately one order of magnitude, but stronger than the SC channel of the undoped case. Our results show that RIXS can explicitly probe charge excitations at low energies as suggested in the literature for the Cu L 3 -edge [75,76].…”

Section: Doped T-j Ladderssupporting

confidence: 73%

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: Doped T-j Ladderssupporting

confidence: 73%

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 contrast, we observe additional spectral weight in the charge channel of SC-NCO at high energy (from 0.5 eV to 1 eV), which cannot be attributed to the broadening of charge-like bimagnon excitations (∆S = 0). Instead, this spectral weight might originate from additional contributions due to particle-hole excitations in the doped compound, as suggested in recent theoretical studies [18,19]. The energy scale of this particle-hole contribution is similar to that of the broad continuum in overdoped YBCO which exhibits fluorescence behavior [20].…”

Section: Disentangling the Rixs Spectra In Terms Of The Nature Ofmentioning

confidence: 90%

“…Our results strongly support the hypothesis that the (para-)magnon and bimagnon peaks in SC-NCO possess the same character as in the parent insulator. At the same time, fitting to azimuthal dependence of bimagnon excitation in SC-NCO reveals that charge-to-spin ratio slightly increased with doping (from 2.7±0.2 to 3.0±0.2), indicating the additional contribution to charge spectral weight from doped carriers (see also section VI) [17][18][19].…”

Section: Low Energy Excitations Dd Excitationsmentioning

confidence: 99%

Resolving the nature of electronic excitations in resonant inelastic x-ray scattering

et al. 2019

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These authors contributed equally † rcomin@mit.edu 33]. In these materials, the orbital degrees of freedom are dynamically active (and often coupled to spin and charge), and contribute to the spectrum of low-energy excitations, thus complicating the interpretation of RIXS spectra. Most importantly, the polarization analysis, besides requiring additional experimental components, provides only limited information in these cases, since the scattering matrix for orbital excitations is typically more asymmetric (see Appendix A) than the charge and spin channels. These considerations underscore the importance to develop a systematic method to resolve the nature and character of individual excitations encoded in the RIXS spectra.RIXS is a 2 nd order interaction process governed by a polarization-dependent cross section which can be derived from the Kramers-Heisenberg formula [1,10]. Most importantly, in the RIXS process, the character of each excitation is uniquely imprinted onto a distinctive form of the scattering tensor, which is ultimately determined by the matrix elements of the interaction (electric dipole) operator. The scattering tensor can be partly resolved by measuring the RIXS signal as a function of the polarization of incident (σ in /π in : perpendicular/parallel to the scattering plane) and scattered (σ out /π out ) photon beams, for a total of four polarization channels (σ in -σ out , σ in -π out , π in -σ out , π in -π out ). Full polarization analysis is therefore often insightful [20,34,35] but ultimately insufficient to resolve the full (3×3) scattering tensor, especially in systems with complex orbital physics where all components are nonzero and the tensor is asymmetric.In this paper, we apply a special procedure to resolve the RIXS scattering tensor at a given momentum transfer, and correspondingly uncover the nature of excitations as a function of both energy and momentum. Our experimental approach relies on the use of an azimuthal scanning geometry where the sample is placed on a wedged holder as shown in Fig. 1(a). This geometry, owing to the collinearity of the azimuthal rotation axis to the direction of momentum transfer, ensures that the probed wavevector remains fixed (both in-plane Q and out-of-plane Q ⊥ components) for all values of the azimuthal angle (φ). At each azimuthal angle, a different combination of the tensor components are selected, so that the symmetry of scattering tensor is imprinted onto the azimuthal dependence of RIXS signal. This probing scheme is often used in resonant elastic X-ray scattering experiments and is here demonstrated for inelastic processes [36,37]. In our experiment, an ostensible variation of the RIXS signal can be observed as a function of φ and, most importantly, the intensity modulation is different for each spectral component, reflecting the symmetry of the underlying scattering tensor (Fig. 1(b)). We applied this method to resolve the charge, spin, and orbital nature of elastic scattering, magnon and multimagnon, and dd excitations in cuprate compou...

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“…One of the exciting features of RIXS compared to other probes, such as angle-resolved photoemission spectroscopy (ARPES) or neutron scattering, is the ability to reach high energy and momentum transfer, which makes it possible to probe the full dispersion of excitations [6]. RIXS may also serve as a sensitive measure of band structure both below and above the Fermi level in itinerant electron systems [7].…”

Section: Introductionmentioning

confidence: 99%

“…An analytical treatment of the RIXS core hole-applicable to simple hopping Hamiltonians, including possible pairing terms-suggests that it can have significant effects for band structures with parameters appropriate to the cuprates [7,10,11]. Nevertheless, the cuprates are strongly correlated materials, and one must go beyond simple band structure models to capture their most interesting properties.…”

Section: Introductionmentioning

confidence: 99%

Auxiliary fermion approach to the resonant inelastic x-ray scattering response in an underdoped cuprate

et al. 2017

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We describe a method for calculating the resonant inelastic x-ray scattering (RIXS) response-including the dynamics of the transient core hole-of many-body systems with nontrivial gap structure encoded in their single particle Green's function. Our approach introduces auxiliary fermions in order to obtain a form amenable to the determinant method of Benjamin et al., [Phys. Rev. Lett. 112, 247002 (2014)], and is applicable to systems where interactions are most strongly felt through a renormalization of the single particle propagator. As a test case we consider the Yang-Rice-Zhang ansatz for cuprate phenomena in the underdoped "pseudogap" regime, which remains a popular tool for interpreting the results of experimental probes. We show that taking the core hole dynamics into account for a system described by this ansatz pushes the RIXS peaks towards higher energy transfer, improving agreement with experiments.

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Resonant inelastic x-ray scattering as a probe of band structure effects in cuprates

Cited by 20 publications

References 44 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

Resolving the nature of electronic excitations in resonant inelastic x-ray scattering

Auxiliary fermion approach to the resonant inelastic x-ray scattering response in an underdoped cuprate

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