Two Hubbard Bands: Weight Transfer in Optical and One-Particle Spectra

Eskes, Henk; Olés, A.M.

doi:10.1103/physrevlett.73.1279

Cited by 88 publications

(89 citation statements)

References 22 publications

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“…These results are consistent with the threedimensional calculations of Dichtel, et al 61 . Interpreting the doping dependence of M as a measure of the renormalization of the splitting into upper and lower Hubbard bands, the mean-field calculations are in good agreement with exact diagonalization calculations 62 and experiments on the cuprates 63 . Figures 23-26 show how the dispersion changes with doping.…”

Section: Appendix B: More On the Sdw Dispersionsupporting

confidence: 60%

Dispersion of ordered stripe phases in the cuprates

Markiewicz

2000

Phys. Rev. B

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A phase separation model is presented for the stripe phase of the cuprates, which allows the doping dependence of the photoemission spectra to be calculated. The idealized limit of a well-ordered array of magnetic and charged stripes is analyzed, including effects of long-range Coulomb repulsion. Remarkably, down to the limit of two-cell wide stripes, the dispersion can be interpreted as essentially a superposition of the two end-phase dispersions, with superposed minigaps associated with the lattice periodicity. The largest minigap falls near the Fermi level; it can be enhanced by proximity to a (bulk) Van Hove singularity. The calculated spectra are dominated by two features -this charge stripe minigap plus the magnetic stripe Hubbard gap. There is a strong correlation between these two features and the experimental photoemission results of a two-peak dispersion in La2−xSrxCuO4, and the peak-dip-hump spectra in Bi2Sr2CaCu2O 8+δ . The differences are suggestive of the role of increasing stripe fluctuations. The 1/8 anomaly is associated with a quantum critical point, here expressed as a percolation-like crossover. A model is proposed for the limiting minority magnetic phase as an isolated two-leg ladder.

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Section: Appendix B: More On the Sdw Dispersionsupporting

confidence: 60%

Dispersion of ordered stripe phases in the cuprates

Markiewicz

2000

Phys. Rev. B

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“…In addition, there is a transfer of weight from the upper Hubbard band to the inverse photoemission part below the Hubbard gap. This effect is actually quite well understood [20]. The band structure above the Hubbard gap becomes more diffuse upon hole doping in that the rather clear two-band structure visible near (π, π) at half-filling rapidly gives way to one broad 'hump' of weight.…”

Section: Doping the Hubbard Model At High Temperatures -Rigid Bandsmentioning

confidence: 90%

Anomalous low-doping phase of the Hubbard model

2000

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We present results of a systematic Quantum-Monte-Carlo study for the single-band Hubbard model. Thereby we evaluated single-particle spectra (PES & IPES), two-particle spectra (spin & density correlation functions), and the dynamical correlation function of suitably defined diagnostic operators, all as a function of temperature and hole doping. The results allow to identify different physical regimes. Near half-filling we find an anomalous 'Hubbard-I phase', where the band structure is, up to some minor modifications, consistent with the Hubbard-I predictions. At lower temperatures, where the spin response becomes sharp, additional dispersionless 'bands' emerge due to the dressing of electrons/holes with spin excitatons. We present a simple phenomenological fit which reproduces the band structure of the insulator quantitatively. The Fermi surface volume in the low doping phase, as derived from the single-particle spectral function, is not consistent with the Luttinger theorem, but qualitatively in agreement with the predictions of the Hubbard-I approximation. The anomalous phase extends up to a hole concentration of ≈ 15%, i.e. the underdoped region in the phase diagram of high-Tc superconductors. We also investigate the nature of the magnetic ordering transition in the single particle spectra. We show that the transition to an SDWlike band structure is not accomplished by the formation of any resolvable 'precursor bands', but rather by a (spectroscopically invisible) band of spin 3/2 quasiparticles. We discuss implications for the 'remnant Fermi surface' in insulating cuprate compounds and the shadow bands in the doped materials.71.10. Hf,71.10.Fd,75.40.Gb

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“…(27), (28), (30) and (31)). Concerning the general subject of the spectral weight redistribution in interacting systems as described by the Hubbard Hamiltonian, we refer the reader to [26], and for related considerations concerning specific strongly correlated systems to [27][28][29]. We emphasize once more that Eqs.…”

Section: 5mentioning

confidence: 99%

“…[27][28][29] to my attention and Professor Fei Zhou (Vancouver) for discussion. With appreciation I acknowledge hospitality and support by Spinoza Institute.…”

Section: Acknowledgementsmentioning

confidence: 99%

On the break in the single-particle energy dispersions and the ‘universal’ nodal Fermi velocity in the high-temperature copper oxide superconductors

Farid

2004

Philosophical Magazine

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Recent data from angle-resolved photoemission experiments published by Zhou et al. [Nature, 423, 398 (2003)] concerning a number of hole-doped copper-oxide based high-temperature superconductors reveal that in the nodal directions of the underlying square Brillouin zones (i.e. the directions along which the d-wave superconducting gap is vanishing) the Fermi velocities for some finite range of k inside the Fermi sea and away from the nodal Fermi wave vector kf are to within an experimental uncertainty of approximately 20% the same both in all the compounds investigated and over a wide range of doping concentrations and that, in line with earlier experimental observations, at some characteristic wave vector k⋆ away from kf ( k⋆ − kf typically amounts to approximately 5% of kf ) the Fermi velocities undergo a sudden change, with this change (roughly speaking, an increase for k < k⋆ ) being the greatest (smallest) in the case of underdoped (overdoped) compounds. We demonstrate that these observations establish four essential facts: firstly, the ground-state momentum distribution function n(k) must be discontinuous at k = k⋆; with vin which v k⋆ is the 'Fermi' velocity corresponding to the case in which Z k⋆ = 0 (for twobody interaction potentials of shorter range than the Coulomb potential,); secondly, the single-particle spectral function A(k; ε) must at k = k⋆ possess a coherent contribution corresponding to a well-defined quasiparticle excitation at an energy of approximately 70 meV below the Fermi energy; thirdly, the amount of discontinuity Z kf in n(k) at the nodal Fermi points must be small and ideally vanishing; fourthly, the long range of the two-body Coulomb potential is of vital importance for realization of a certain aspect of the observed behaviour in the Fermi velocities (specifically) in the underdoped regime. The condition Z kf = 0 conforms with the observation through an earlier angle-resolved photoemission experiment by Valla et al. [Science, 285, 2110[Science, 285, (1999], on the optimally doped compound Bi2Sr2CaCu2O 8+δ , which shows that the imaginary part of the self-energy along the nodal directions of the Brillouin zone and in the vicinity of the nodal Fermi points satisfies the scaling behaviour characteristic of marginal Fermi-liquid metallic states, for which Z kf is indeed vanishing. We present arguments advocating the viewpoint that the observed 'kink' in the measured energy dispersions cannot be a direct consequence of electron-phonon interaction, although a finite Z k⋆ may possibly arise from this interaction. In other words, even though possibly vital, the role played by phonons in bringing about the latter 'kink' must be indirect. Our approach further provides a consistent interpretation of the observed sudden decrease in the width of the so-called 'momentum distribution curve' on k increasing above k⋆ .

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Two Hubbard Bands: Weight Transfer in Optical and One-Particle Spectra

Cited by 88 publications

References 22 publications

Dispersion of ordered stripe phases in the cuprates

Dispersion of ordered stripe phases in the cuprates

Anomalous low-doping phase of the Hubbard model

On the break in the single-particle energy dispersions and the ‘universal’ nodal Fermi velocity in the high-temperature copper oxide superconductors

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