Soliton Lattice Modulation of Incommensurate Spin Density Wave in Two Dimensional Hubbard Model -A Mean Field Study-

Kato, Masaru; Machida, Kazushige; Nakanishi, Hiizu; Fujita, M.

doi:10.1143/jpsj.59.1047

Cited by 281 publications

(167 citation statements)

References 19 publications

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“…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, 20,21,22,23 and emphasized recently, 24 which predicted theoretically the stripe order. 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.…”

supporting

confidence: 84%

“…However, reduced |m π (l x )| at those sites allows the system to better optimize the kinetic energy gain which then overcompensates a large on-site energy only when the optimal filling is close to one hole per Ni site, meaning that for a given doping level, the DWs should be separated by a larger distance as compared to predictions made in the DDH model. On the other hand, the robust stability of the DBC stripe phases with respect the VBC ones can be understood as following from a stronger reduction of all double occupancies (20)- (22) in the former phase. In fact, the doubly occupied configurations cannot be then excited between the nearest neighbor DW sites, leading to a lower total energy.…”

Section: B Double Occupancy Distributionmentioning

confidence: 99%

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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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supporting

confidence: 84%

Section: B Double Occupancy Distributionmentioning

confidence: 99%

Microscopic origin of diagonal stripe phases in doped nickelates

2006

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“…On doping layered transition-metal-oxide antiferromagnets with holes, it is possible for a stripe phase to develop, with the holes segregating into charge stripes that form antiphase domain walls between antiferromagnetic strips [4][5][6][7] . While the original proposals for the stripe phase focused on the ordered state [8][9][10] , it has been proposed that fluctuating order of this type ('dynamic charge stripes') plays a key role in the physics of various interesting, strongly correlated electronic materials 4,[11][12][13] . Here we report direct measurement of dynamic charge stripes by inelastic neutron scattering.…”

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confidence: 99%

Direct observation of dynamic charge stripes in La2–xSrxNiO4

Anissimova

Parshall

et al. 2014

Nat Commun

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The insulator-to-metal transition continues to be a challenging subject, especially when electronic correlations are strong. In layered compounds, such as La 2-x Sr x NiO 4 and La 2-x Ba x CuO 4 , the doped charge carriers can segregate into periodically spaced charge stripes separating narrow domains of antiferromagnetic order. Although there have been theoretical proposals of dynamically fluctuating stripes, direct spectroscopic evidence of charge-stripe fluctuations has been lacking. Here we report the detection of critical lattice fluctuations, driven by charge-stripe correlations, in La 2-x Sr x NiO 4 using inelastic neutron scattering. This scattering is detected at large momentum transfers where the magnetic form factor suppresses the spin fluctuation signal. The lattice fluctuations associated with the dynamic charge stripes are narrow in q and broad in energy. They are strongest near the charge-stripe melting temperature. Our results open the way towards the quantitative theory of dynamic stripes and for directly detecting dynamical charge stripes in other strongly correlated systems, including high-temperature superconductors such as La 2-x Sr x CuO 4 .

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“…19 Much theoretical works has also been performed to study the behavior of the doped carriers in HTSC. Pioneering works adopting the Hartree-Fock approximation (HFA) have studied the stripe order in La 1.875 Ba 0.125 CuO 4 on the basis of the 2D one-band Hubbard model 20,21 or the 2D two-band Hubbard model. 22 Furthermore, dynamical mean field theory (DMFT) has been exploited to study the stripe phase on the basis of the 2D Hubbard model with L non-equivalent sites, where L = 8, .…”

Section: Introductionmentioning

confidence: 99%

Inhomogeneous Electronic Distribution in High-T_c Cuprates

Koikegami¹,

Kato

Yanagisawa³

2015

J. Phys. Soc. Jpn.

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We theoretically investigate the doping evolution of the electronic state of high-T c cuprate on both sides of the half-filling on the basis of the three-dimensional three-band Hubbard model with a layered structure using the Hartree-Fock approximation. Once a small amount of holes or electrons are doped into the half-filled state, our model exhibits the charge-transfer insulator-to-metal transition along with a chemical potential jump. At the same time, the doped holes or electrons are inhomogeneously distributed, and they tend to form clusters in the vicinity of the half-filling. This suggests the possibility of microscopic phase separation with the separation between the metallic and the insulating regions.

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Soliton Lattice Modulation of Incommensurate Spin Density Wave in Two Dimensional Hubbard Model -A Mean Field Study-

Cited by 281 publications

References 19 publications

Microscopic origin of diagonal stripe phases in doped nickelates

Microscopic origin of diagonal stripe phases in doped nickelates

Direct observation of dynamic charge stripes in La2–xSrxNiO4

Inhomogeneous Electronic Distribution in High-T_c Cuprates

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Soliton Lattice Modulation of Incommensurate Spin Density Wave in Two Dimensional Hubbard Model -A Mean Field Study-

Cited by 281 publications

References 19 publications

Microscopic origin of diagonal stripe phases in doped nickelates

Microscopic origin of diagonal stripe phases in doped nickelates

Direct observation of dynamic charge stripes in La2–xSrxNiO4

Inhomogeneous Electronic Distribution in High-Tc Cuprates

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Inhomogeneous Electronic Distribution in High-T_c Cuprates