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Hildebrand, G.; Arrigoni, Enrico; Gröber, C.; Hanke, W.

doi:10.1103/physrevb.59.6534

Cited by 5 publications

(4 citation statements)

References 58 publications

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“…near the (π, 0) point. This partial pseudogap formation was also pointed out in references [31,32]. Figure 5, shows a contour-plot of the dispersion of the one-particle spectral function in a parameter range of relatively strong spin fluctuation scattering.…”

Section: Scattering Rates and Spectral Functionssupporting

confidence: 75%

Anisotropic scattering rates and antiferromagnetic precursor effects in the t-t'-U Hubbard model

2000

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We have investigated the evolution of the electronic properties of the t-t'-U Hubbard model with hole doping and temperature. Due to the shape of the Fermi surface, scattering from short wavelength spin fluctuations leads to strongly anisotropic quasi-particle scattering rates at low temperatures near halffilling. As a consequence, significant variations with momenta near the Fermi surface emerge for the spectral functions and the corresponding ARPES signals. At low doping the inverse lifetime of quasiparticles on the Fermi surface is of order kBT varying linearly in temperature from energies of order t down to a very low energy scale set by the spin fluctuation frequency while at intermediate doping a sub-linear T -dependence is observed. This behavior is possibly relevant for the interpretation of photoemission spectra in cuprate superconductors at different hole doping levels.

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Section: Scattering Rates and Spectral Functionssupporting

confidence: 75%

Anisotropic scattering rates and antiferromagnetic precursor effects in the t-t'-U Hubbard model

2000

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“…Although this approximation is suitable to describe magnetic fluctuations and band shadow features, 12 it fails to reproduce the pseudogap behavior in the spectral function and in the magnetic excitations at low temperatures and low doping 13 , probably due to the lack of conservation at the two-particle level and to the neglection of interference effects between particle-particle and particle-hole channel. Moreover, on the quantitative level, antiferromagnetic fluctuations appear to be underestimated 14 with respect to exact results.…”

mentioning

confidence: 73%

“…The Hubbard interaction takes an intermediate value U = 4t, as appropriate for a perturbative calculation, and t ⊥ = 0.4t (cf. 15,16,14 ). Within the self-consistency cycle, we fix the on-site energy δ and the particle number n 1 = 1 − x 1 of the first layer, while the chemical potential µ and the particle number of the second plane n 2 = 1 − x 2 are adjusted at each step.…”

mentioning

confidence: 99%

Interplane magnetic coupling effects in the multilattice compoundY2Ba4Cu
Hildebrand¹,
Arrigoni²,
Schmalian³
et al. 1999
Phys. Rev. B
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We investigate the interplane magnetic coupling of the multilattice compound Y2Ba4Cu7O15by means of a bilayer Hubbard model with inequivalent planes. We evaluate the spin response, effective interaction and the intra-and interplane spin-spin relaxation times within the fluctuation exchange approximation. We show that strong in-plane antiferromagnetic fluctuations are responsible for a magnetic coupling between the planes, which in turns leads to a tendency of the fluctuation in the two planes to equalize. This equalization effect grows whit increasing in-plane antiferromagnetic fluctuations, i. e., with decreasing temperature and decreasing doping, while it is completely absent when the in-layer correlation length becomes of the order of one lattice spacing. Our results provide a good qualitative description of 71.27.+a, to appear in Phys. Rev. B (RC) Jan. 99Although many models for high-Tc cuprates are restricted to a single layer, it has become clear that both superconducting and magnetic properties of these materials are affected by the coupling between two or more layers. A rather strong coupling between the layers has been observed principally by inelastic neutron scattering 1 (INS) and nuclear magnetic resonance 2-5 (NMR). Furthermore, the observation of a qualitatively different behavior of the odd and even channel in INS 6 and of a bilayer splitting of the Fermi surface found in angular resolved photoemission experiments (ARPES) 7,8 demonstrate that low energy excitations of cuprates are affected by the presence of more than one layer per unit cell. An exciting perspective on the nature of the coupling between CuO 2 -layers was offered by NMR experiments by Stern et al. on Y 2 Ba 4 Cu 7 O 15 (247). This material has a variety of structural similarities to the extensively studied YBa 2 Cu 3 O 7 (123) and YBa 2 Cu 4 O 8 (124) systems. The compound 247 can be considered as a natural multilattice, whose bilayers are build up of one CuO 2 layer which belongs to the 123 block and one layer to the 124 block. Based on the analysis of the NQR spectra it turned out that the charge carrier content in these nonequivalent adjacent layers is very close to that of the related parent compounds of the two blocks, 123 and 247. Interestingly, the highest transition temperature (T c = 95 K) occurs in the 247 compound, in comparison with the 92 K of 123 and 82 K of the 124 system.In this paper, we want to provide a theoretical understanding in terms of a microscopic model of some striking experimental observations of Refs. 2,3, namely: (i) the spin-spin relaxation rates T −1 2G of the two layers in Y 2 Ba 4 Cu 7 O 15 , measured in a spin-echo double resonance experiment, behave very similarly as a function of temperature, despite the different doping of the layers; (ii) the spin-spin relaxation rate in the 124 (247) layer of Y 2 Ba 4 Cu 7 O 15 is reduced (enhanced) with respect to one of the constituent compound at low temperatures; (iii) the interplane transverse relaxation rate, increases for decreasing temperature faster t...

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“…This implies, as expected, that the interplane connection is intimately related to strong antiferromagnetic correlations in the planes. The strength of the antiferromagnetic fluctuations are in turn quite sensitive to the shape of the Fermi surface, especially if large regions of the Fermi surface can be linked by the antiferromagnetic momentum Q = (π, π) 26 . Keeping this in mind, the differences between parameter set A and B are caused by their different Fermi surfaces.…”

Section: Resultsmentioning

confidence: 99%

Magnetic fluctuations in coupled inequivalent Hubbard layers as a model for

et al. 1999

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We investigate, within the fluctuation-exchange approximation, a correlated-electron model for Y2Ba4Cu7O15 represented by two inequivalent Hubbard layers coupled by an interlayer hopping t ⊥ . An energy offset δ is introduced in order to produce a different charge carrier concentration in the two layers. We compare several single-particle and magnetic excitations, namely, the single particle scattering rate, the spectral function and the spin lattice as well as spin-spin relaxation times in the two layers as a function of δ. We show that the induced interlayer magnetic coupling produces a tendency to "equalization" of the magnetic properties in the two layers whereby antiferromagnetic fluctuations are suppressed in the less doped layer and enhanced in the heavily doped one. The strong antiferromagnetic bilayer coupling causes the charge carriers in the plane with larger doping concentration to behave similar to those of the underdoped layer, they are coupled to. This effect grows for decreasing temperature. For high temperatures or if both layers are optimally or overdoped, i.e. when the antiferromagnetic correlation length becomes of the order or smaller than one lattice site the charge carrier and magnetic dynamics of the two layers is disconnected and the equalization effect disappears. These results are in good agreement with NMR experiments on Y2Ba4Cu7O15 by Stern et al. Phys. Rev B 51, 15478 (1995). We also compare the results with calculations on bilayer systems with equivalent layers as models for the constituent compounds YBa2Cu3O7 and YBa2Cu4O8.

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Magnetic properties ofYBa2Cu3O7−

Cited by 5 publications

References 58 publications

Anisotropic scattering rates and antiferromagnetic precursor effects in the t-t'-U Hubbard model

Anisotropic scattering rates and antiferromagnetic precursor effects in the t-t'-U Hubbard model

Interplane magnetic coupling effects in the multilattice compoundY2Ba4Cu
Hildebrand¹,
Arrigoni²,
Schmalian³
et al. 1999
Phys. Rev. B
Self Cite
4
1
6
0
View full text Add to dashboard Cite

Magnetic fluctuations in coupled inequivalent Hubbard layers as a model for

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Magnetic properties ofYBa2Cu3O7−

Cited by 5 publications

References 58 publications

Anisotropic scattering rates and antiferromagnetic precursor effects in the t-t'-U Hubbard model

Anisotropic scattering rates and antiferromagnetic precursor effects in the t-t'-U Hubbard model

Interplane magnetic coupling effects in the multilattice compoundY2Ba4CuHildebrand1, Arrigoni2, Schmalian3 et al. 1999Phys. Rev. BSelf Cite4160View full textAdd to dashboardCite

Magnetic fluctuations in coupled inequivalent Hubbard layers as a model for

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Interplane magnetic coupling effects in the multilattice compoundY2Ba4Cu
Hildebrand¹,
Arrigoni²,
Schmalian³
et al. 1999
Phys. Rev. B
Self Cite
4
1
6
0
View full text Add to dashboard Cite