Hole concentration dependence of the ordering process of the stripe order in La2-xSrxNiO4

Kajimoto, Ryoichi; Kakeshita, T.; Yoshizawa, H.; Tanabe, Tatsuhiko; Katsufuji, T.; Tokura, Y.

doi:10.1103/physrevb.64.144432

Phys. Rev. B

2001

DOI: 10.1103/physrevb.64.144432

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Hole concentration dependence of the ordering process of the stripe order in La2-xSrxNiO4

Ryoichi Kajimoto

T. Kakeshita

H. Yoshizawa

et al.

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Cited by 44 publications

(84 citation statements)

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“…Whether the observed CDW excitations are collective due to a symmetry breaking 29 or rather a reflection of the particle-hole continuum remains an open question for future investigation. Additionally, if confirmed, the surprising change of Q CDW from incommensurate at low temperature towards commensurate at high temperature is reminiscent of the temperature dependence observed in stripe-phased nickelates, where the charge order is strongly coupled to a spin order, which originates from strong real-space interactions 30 . These results may be consistent with the proposal that the incommensurate Q CDW forms from a discommensuration of a universal period 4a o modulations 31 .…”

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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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Dispersive charge density wave excitations in Bi2Sr2CaCu2O8+δ

et al. 2017

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“…More precisely, neutron scattering measurements have revealed static stripe order in the LNO samples with δ = 0.105, 0.125, as well as 0.133, 25,26,27,28,29,30,31 and even over a wider hole doping regime 0.135 ≤ x ≤ 0.5 in the case of LSNO. 1,2,3,4,5,6,7,8 Moreover, the incommensurate (IC) stripe order persists up to x = 0.7 in the Nd 2−x Sr x NiO 4 system, 32 in which the low temperature orthorhombic phase seems to extend to a higher doping region x ≤ 0.45 as compared to the La compounds, where the high temperature tetragonal phase is stabilized instead already at x ≃ 0.22. 1 Indications of a charge order (CO) in doped LSNO were also found in electron 33 and x-ray diffraction studies.…”

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“…They have been observed in a variety of systems, including nickelates, 1,2,3,4,5,6,7,8 cuprates, 9,10,11,12,13,14,15 and manganites. 16,17,18 Among them, layered La 2−x Sr x CuO 4 (LSCO), La 2−x−y Nd y Sr x CuO 4 (Nd-LSCO), La 2−x Sr x NiO 4 (LSNO), and La 2 NiO 4+δ (LNO) compounds play plausibly the most prominent role.…”

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“…In contrast, it is clear from a variety of experiments that magnetic states within doped NiO 2 planes of the nickelates are filled stripes with density of one doped hole per one atom in a DW. 1,2,3,4,5,6,7,8 The question of filling is not the only difference between the nickelate and cuprate stripes, however. Neutron diffraction measurements performed on Nd-LSCO revealed that magnetic peaks are displaced from the antiferromagnetic (AF) maximum at Q AF = π(1, 1) to the points Q s = π(1 ± 2ǫ, 1) and Q s = π(1, 1 ± 2ǫ) and the shift ǫ depends linearly on hole doping x for x < 1/8, while it is almost constant at higher doping.…”

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Microscopic origin of diagonal stripe phases in doped nickelates

2006

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We investigate the electron density distribution and the stability of stripe phases in the realistic two-band model with hopping elements between eg orbitals at Ni sites on the square lattice, and compare these results with those obtained for the doubly degenerate Hubbard model with two equivalent orbitals and diagonal hopping. For both models we determine the stability regions of filled and half-filled stripe phases for increasing hole doping x = 2 − n in the range of x < 0.4, using Hartree-Fock approximation for large clusters. In the parameter range relevant to the nickelates, we obtain the most stable diagonal stripe structures with filling of nearly one hole per atom, as observed experimentally. In contrast, for the doubly degenerate Hubbard model the most stable stripes are somewhat reminiscent of the cuprates, with half-filled atoms at the domain wall sites. This difference elucidates the crucial role of the off-diagonal eg hopping terms for the stripe formation in La2−xSrxNiO4. The influence of crystal field is discussed as well. I. STRIPE PHASES IN NICKELATESStripe phases are one of the most exciting phenomena of modern condensed matter physics. They have been observed in a variety of systems, including nickelates, 1,2,3,4,5,6,7,8 cuprates, 9,10,11,12,13,14,15 and manganites. 16,17,18 Among them, layered La 2−x Sr x CuO 4 (LSCO), La 2−x−y Nd y Sr x CuO 4 (Nd-LSCO), La 2−x Sr x NiO 4 (LSNO), and La 2 NiO 4+δ (LNO) compounds play plausibly the most prominent role. However the similarity between them is superficial only, and the stripes in the cuprates differ from the stripes in the nickelates in many respects. For instance, they are dynamical in the former, and static in the latter. In addition, in Nd-LSCO 9,10,11,12,13,14 and LSCO, 15 one finds the so-called half-filled stripes, with the density of one doped hole per two atoms along the domain wall (DW). In contrast, it is clear from a variety of experiments that magnetic states within doped NiO 2 planes of the nickelates are filled stripes with density of one doped hole per one atom in a DW. 1,2,3,4,5,6,7,8 The question of filling is not the only difference between the nickelate and cuprate stripes, however. Neutron diffraction measurements performed on Nd-LSCO revealed that magnetic peaks are displaced from the antiferromagnetic (AF) maximum at Q AF = π(1, 1) to the points Q s = π(1 ± 2ǫ, 1) and Q s = π(1, 1 ± 2ǫ) and the shift ǫ depends linearly on hole doping x for x < 1/8, while it is almost constant at higher doping. These values correspond to a superposition of vertical (01) and horizontal (10) DWs. The essentially identical modulation and doping dependence of ǫ was observed in superconducting crystals of LSCO with x > 0.05. Conversely, experiments on LSNO established that spin order is characterized by the wave vectors Q s = π(1 ± ǫ, 1 ± ǫ) with ǫ ≃ x for x < 1/3, corresponding to a constant charge of one hole/Ni ion along a diagonal DW, in agreement with the predictions made in the pioneering works by Zaanen and Gunnarsson 19 and others, 20,21,...

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“…Lr, 05.50.+q, 64.60.Fr, 75.40.Mg Charge ordering (CO) phenomenon often appears in transition metal oxides including manganites, nickelates and probably cuprates. Of particular interest is the CO in layered perovskite oxides with K 2 NiF 4 lattice structure (so-called 2-1-4 structure) such as La 2−x Sr x M O 4 (M =Ni,Mn,Cu) [1][2][3][4][5]. When the carrier concentration is a rational number, a commensurate CO can occur.…”

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Two-Dimensional Charge Order in Layered 2-1-4 Perovskite Oxides

2004

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Monte Carlo simulations are performed on the three-dimensional (3D) Ising model with the 2-1-4 layered perovskite structure as a minimal model for checkerboard charge ordering phenomena in layered perovskite oxides. Due to the interlayer frustration, only 2D long-range order emerges with a finite correlation length along the c axis. Critical exponents of the transition change continuously as a function of the interlayer coupling constant. The interlayer long-range Coulomb interaction decays exponentially and is negligible even between the second-neighbor layers. Instead, monoclinic distortion of a tetragonal unit cell lifts the macroscopic degeneracy to induce a 3D charge ordering. The dimensionality of the charge order in La0.5Sr1.5MnO4 is discussed from this viewpoint.PACS numbers: 71.45. Lr, 05.50.+q, 64.60.Fr, 75.40.Mg Charge ordering (CO) phenomenon often appears in transition metal oxides including manganites, nickelates and probably cuprates. Of particular interest is the CO in layered perovskite oxides with K 2 NiF 4 lattice structure (so-called 2-1-4 structure) such as La 2−x Sr x M O 4 (M =Ni,Mn,Cu) [1][2][3][4][5]. When the carrier concentration is a rational number, a commensurate CO can occur. Particularly, in the case of x = 1/2 or 3/2, the CO within the ab plane emerges with the checkerboard pattern at the wave vector Q = (π/a, π/a), where a is a lattice constant within the plane.Neutron scattering measurements have revealed that below the transition temperature T CO = 217 K, La 0.5 Sr 1.5 MnO 4 shows the checkerboard-type CO as a 2D long-range order (LRO) with a finite correlation length along the c axis [1]. This provides an evidence of a Bragg rod. In contrast, recent X-ray [6] and neutron [7] scattering experiments have indicated a Bragg peak at a 3D wave vectorQ = (π/a, π/a, 0) at a much lower temperature than T CO , indicating a 3D CO [7]. The dimensionality of this CO in the material remains controversial.To resolve this controversy, the frustration of the interlayer Coulomb interaction shown in Fig. 1 plays a central role: The two relative configurations of the neighboring 2D CO are completely degenerate when only the nearest neighbor interlayer coupling is taken into account. Frustrated interaction yields (i) complicated patterns of the ordering such as an incommensurate state, (ii) suppression of a LRO to realize the (quantum) liquid, (iii) glassy state, and so on [8,9]. The degeneracy is usually lifted in a nontrivial way. Even a simple order emerges due to the so-called 'order by disorder' mechanism [10], where the entropy of the fluctuation around each degenerate configuration differs and the system picks up the state with the largest entropy.Particularly for layered systems, when interlayer interaction suffers from a frustration, the dimensional reduction of a LRO occasionally occurs with a macroscopic degeneracy and only a weak universality relation is satisfied [11,8]: In special 3D models stacked with vertex models, a 2D LRO appears and critical exponents continuously vary with...

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Hole concentration dependence of the ordering process of the stripe order in La2-xSrxNiO4

Cited by 44 publications

References 14 publications

Dispersive charge density wave excitations in Bi2Sr2CaCu2O8+δ

Dispersive charge density wave excitations in Bi2Sr2CaCu2O8+δ

Microscopic origin of diagonal stripe phases in doped nickelates

Two-Dimensional Charge Order in Layered 2-1-4 Perovskite Oxides

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