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Hashimoto, M.; Ghiringhelli, G.; Lee, W. S.; Dellea, G.; Amorese, Andrea; Mazzoli, Claudio; Kummer, K.; Brookes, N. B.; Moritz, Brian; Yoshida, Yoshiyuki; Eisaki, H.; Hussain, Zahid; Devereaux, T. P.; Shen, Z.‐X.; Braicovich, L.

doi:10.1103/physrevb.89.220511

Cited by 71 publications

(60 citation statements)

References 43 publications

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“…], and is consistent with model calculations that attribute the small Fermi surface pockets seen in the quantum oscillation experiments to a Fermi-surface reconstruction triggered by bi-axial CDW order. [46] Resonant x-ray scattering (RXS) experiments have also revealed evidence of CDW order in Bi 2 Sr 2 CuO 6+δ and Bi 2 Sr 2 CaCu 2 O 8+δ , [32][33][34] in good agreement with prior results of surface-sensitive scanning tunneling spectroscopy measurements. [14][15][16][17][18][19] Together with recent data on HgBa 2 CuO 4+δ that also indicate CDW correlations, [47] these observations demonstrate that the CDW is a generic feature of the underdoped cuprates.…”

Section: Introductionsupporting

confidence: 82%

Resonant x-ray scattering study of charge-density wave correlations inYBa2Cu3O6+x

et al. 2014

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We report the results of a comprehensive study of charge density wave (CDW) correlations in untwinned YBa2Cu3O6+x single crystals with 0.4 ≤ x ≤ 0.99 using Cu-L3 edge resonant x-ray scattering (RXS). Evidence of CDW formation is found for 0.45 ≤ x ≤ 0.93 (hole doping levels 0.086 p 0.163), but not for samples with x ≤ 0.44 (p 0.084) that exhibit incommensurate spin-density-wave order, and in slightly overdoped samples with x = 0.99 (p ∼ 0.19). This suggests the presence of two proximate zero-temperature CDW critical points at pc1 ∼ 0.08 and pc2 ∼ 0.18. Remarkably, pc2 is close to the doping level that is optimal for superconductivity. The CDW reflections are observed at incommensurate in-plane wave vectors (δa, 0) and (0, δ b ) with δa δ b . Both δa and δ b decrease linearly with increasing doping, in agreement with recent reports on Bibased high-Tc superconductors, but in sharp contrast to the behavior of the La2−x(Ba,Sr)xCuO4 family. The CDW intensity and correlation length exhibit maxima at p ∼ 0.12, coincident with a plateau in the superconducting transition temperature Tc. The onset temperature of the CDW reflections depends non-monotonically on p, with a maximum of ∼ 160 K for p ∼ 0.12. The RXS reflections exhibit a uniaxial intensity anisotropy. Whereas in strongly underdoped samples the reflections at (δa, 0) are much weaker than those at (0, δ b ), the anisotropy is minimal for p ∼ 0.12, and reversed close to optimal doping. We further observe a depression of CDW correlations upon cooling below Tc, and (for samples with p ≥ 0.09) an enhancement of the signal when an external magnetic field up to 6 T is applied in the superconducting state. For samples with p ∼ 0.08, where prior work has revealed a field-enhancement of incommensurate magnetic order, the RXS signal is field-independent. This supports a previously suggested scenario in which incommensurate charge and spin orders compete against each other, in addition to individually competing against superconductivity (Blanco-Canosa et al., Phys. Rev. Lett. 110, 187001 (2013)). We discuss the relationship of these results to prior observations of "stripe" order in La2−x(Ba,Sr)xCuO4, the "pseudogap" phenomenon, superconducting fluctuations, and quantum oscillations, as well as their implications for the mechanism of high-temperature superconductivity.

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Section: Introductionsupporting

confidence: 82%

Resonant x-ray scattering study of charge-density wave correlations inYBa2Cu3O6+x

et al. 2014

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“…Comprehensive calculations in the hole-doped case [17], however, did not capture a CO tendency compatible to the experimental observation [2,3,4,5,6,7,8,9,10,11,12]. Such calculations were performed in the paramagnetic state whereas in reality the CO is observed as an instability in the pseudogap state.…”

Section: Discussionmentioning

confidence: 94%

“…CO is known in Labased materials as a spin-charge stripe order [1], in which CO is accompanied by a spin order. However, a different type of CO has been observed recently in various holedoped cuprates such as Y- [2,3,4,5,6,7,8], Bi- [9,10,11], and Hg-based [12] materials. In these materials, the CO is not accompanied by a spin order.…”

Section: Introductionmentioning

confidence: 99%

d -wave bond-order charge excitations in electron-doped cuprates

Yamase

Bejas

Greco

2015

EPL

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We study charge excitation spectra in the two-dimensional t-J model on a square lattice to explore a charge-order tendency recently found in electron-doped cuprates around the carrier density 0.15. The static susceptibility of dwave charge density, which corresponds to the nematic susceptibility at the momentum transfer q = (0, 0), shows two characteristic peaks at momenta of the form q1 = (q ′ , q ′ ) and q2 = (q, 0). These two peaks originate from the socalled 2kF scattering processes enhanced by the d-wave character of the bond-charge density. The peak at q1 is much broader, but develops to be very sharp in the vicinity of its instability, whereas the peak at q2 becomes sharper with decreasing temperature, but does not diverge. The equal-time correlation function, which is measured by resonant x-ray scattering, exhibits a momentum dependence similar to the static susceptibility. We also present energy-resolved charge excitation spectra. The spectra show a V-shaped structure around q = (0, 0) and bend back toward close to zero energy due to the charge-order tendency at q1 and q2. The resulting spectra form gap-like features with a maximal gap at q ≈ q1/2 and q2/2. We discuss implications for the recent experiments in electron-doped cuprates.

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“…We choose the double-layer cuprate Bi 2.2 Sr 1.8 Ca 0.8 Dy 0.2 Cu 2 O 8+δ (Bi2212), whose electronic structure has been extensively studied by surface-sensitive spectroscopy, such as scanning tunnelling microscopy 21 and angle-resolved photoemission 22 , and in which a short-range CDW order was recently reported 7,8 . With improved energy resolution up to 40 meV, we see additional features in the previous quasi-elastic region (Fig.…”

mentioning

confidence: 99%

Dispersive charge density wave excitations in Bi2Sr2CaCu2O8+δ

et al. 2017

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Experimental evidence on high-T c cuprates reveals ubiquitous charge density wave (CDW) modulations 1-10 , which coexist with superconductivity. Although the CDW had been predicted by theory 11-13 , important questions remain about the extent to which the CDW influences lattice and charge degrees of freedom and its characteristics as functions of doping and temperature. These questions are intimately connected to the origin of the CDW and its relation to the mysterious cuprate pseudogap 10,14 . Here, we use ultrahigh-resolution resonant inelastic X-ray scattering to reveal new CDW character in underdoped Bi 2.2 Sr 1.8 Ca 0.8 Dy 0.2 Cu 2 O 8+δ . At low temperature, we observe dispersive excitations from an incommensurate CDW that induces anomalously enhanced phonon intensity, unseen using other techniques. Near the pseudogap temperature T * , the CDW persists, but the associated excitations significantly weaken with an indication of CDW wavevector shift. The dispersive CDW excitations, phonon anomaly, and analysis of the CDW wavevector provide a comprehensive momentumspace picture of complex CDW behaviour and point to a closer relationship with the pseudogap state.With sufficient energy resolution, resonant inelastic X-ray scattering (RIXS) can be an ideal probe for revealing the CDW excitations in cuprates. By tuning the incident photon energy to the Cu L 3 -edge (Fig. 1a), the resonant absorption and emission processes can leave the system in excited final states, which couple to a variety of excitations arising from orbital, spin, charge, and lattice degrees of freedom 15 . Thus, information of these elementary excitations in energy and momentum space can be deduced from analysing the RIXS spectra as functions of the energy loss and the momentum transfer of the photons (Fig. 1a). This is highlighted by the pivotal role that RIXS has recently played in revealing orbital and magnetic excitations in cuprates [16][17][18][19][20] . In addition, RIXS provided the first X-ray scattering evidence for an incommensurate CDW in (Y,Nd)Ba 2 Cu 3 O 6+δ (ref. 4), owing to energy resolution that separated the quasi-elastic CDW signal (bright spot in Fig. 1b, limited by the instrumental resolution ∼130 meV) from other intense higher-energy excitations. Notably this quasi-elastic signal is asymmetric with respect to zero energy loss (Fig. 1c), which indicates the possible existence of additional low-energy excitations near the CDW wavevector (Q CDW ).In this work, we exploit the newly commissioned ultrahighresolution RIXS instrument at the European Synchrotron Radiation Facility to reveal these low-energy excitations near the CDW. We choose the double-layer cuprate Bi 2.2 Sr 1.8 Ca 0.8 Dy 0.2 Cu 2 O 8+δ (Bi2212), whose electronic structure has been extensively studied by surface-sensitive spectroscopy, such as scanning tunnelling microscopy 21 and angle-resolved photoemission 22 , and in which a short-range CDW order was recently reported 7,8 . With improved energy resolution up to 40 meV, we see additional features in the pre...

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Direct observation of bulk charge modulations in optimally dopedBi1.5Pb0.6Sr1.54CaCu2O8+

Cited by 71 publications

References 43 publications

Resonant x-ray scattering study of charge-density wave correlations inYBa2Cu3O6+x

Resonant x-ray scattering study of charge-density wave correlations inYBa2Cu3O6+x

d -wave bond-order charge excitations in electron-doped cuprates

Dispersive charge density wave excitations in Bi2Sr2CaCu2O8+δ

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