Renormalization of the elementary excitations in hole- and electron-doped cuprates due to spin fluctuations

Manske, Dirk; Eremin, I.; Bennemann, K. H.

doi:10.1103/physrevb.67.134520

Cited by 54 publications

(34 citation statements)

References 41 publications

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“…29 Counterarguments, disfavouring phonons and attributing the latter phenomena to antiferromagnetic spin fluctuations have been put forward 30 [43,44,42] (see also the discussions in [6,7] which concern experiments as well as those in [5], examining experimental observations in the light of a number of different theoretical possibilities). We do not consider electron-phonon interaction as being the primary cause for the 'kink' in the experimentally measured energy dispersions.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…30 For completeness we mention that we fail to comprehend the methodology with the aid of which the authors of [42] deduced from their computational results concerning the singleparticle spectral function (denoted in [42] by N (k, ω)) a kink in the single-particle energy dispersion. In our judgement, connecting the maxima of a series of N (k, ω) corresponding to various k (considered as parameter), as the authors of [42] did (see , noting that in these ω is measured in milielectron volts and k in units of the inverse lattice constant), cannot provide unequivocal information with regard to the dispersion of the underlying single-particle excitation energies. 31 See, for example, Fig.…”

Section: Summary and Discussionmentioning

confidence: 99%

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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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Section: Summary and Discussionmentioning

confidence: 99%

Section: Summary and Discussionmentioning

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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“…In a two-dimensional Hubbard model, it has been reported that the superconducting state has d x 2 Ϫy 2 symmetry by a self-consistent calculation for the full momentum-and frequency-dependent gap [5][6][7][8]. Recently, triplet pairing due to spin-fluctuation exchange of superconductivity in Sr 2 RuO 4 has been discussed in relation to the band structure and spin susceptibility by using a two-dimensional Hubbard model for three bands crossing the Fermi level [9].…”

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confidence: 99%

Theoretical studies on many‐band effects in superconductivity and magnetism

Nagao

2004

Int J of Quantum Chemistry

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ABSTRACT:We present a two-dimensional two-sublattice system to investigate two-band effects in magnetism and superconductivity. The spin susceptibility of the sublattice system is calculated, and the expression of the effective exchange integral in Heisenberg model for the sublattice is derived in the framework of the Hubbard model. We find the possibility of the appearance of ferromagnetic order around half-filling in a two-band system. Within the extended Hubbard model, a coupled gap equation for the two-band superconductivity is also derived by using a mean-field approximation. The results suggest that the superconducting order becomes larger by the pair-scattering process.

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“…The coupling terms are semiempirically determined so as to reproduce the experiments as shown in Eqs. (30)- (34). To this end, the interplane coupling (t inter ) is also expressed by the interplane J value in our magnetic (J) model.…”

Section: Ginzburg-landau Model For Multiband Effects For Cuprates Andmentioning

confidence: 99%

N‐bands Hubbard models. IV. Comparisons of electron‐ or hole‐doped quaternary oxypictides LaOMPn superconductors with cuprates

Yamaguchi

Yamanaka

Isobe

et al. 2008

Int J of Quantum Chemistry

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ABSTRACT:A lot of theoretical and experimental results are examined to obtain a unified picture of magnetism and superconductivity in strongly correlated electron systems. First principle computational results reported recently have been used to elucidate electronic structures of strongly correlated electron systems. In this series of articles theoretical efforts for the systems such as transition metal oxides have been extended to search high-T c superconductors (HTSC) other than cuprates in relation to possible mechanism(s) of high-T c superconductivity. Very recently, Kamihara et al. have found that quaternary oxypictides LaOMPn (M ϭ V, Cr, Mn, Fe, Co, Ni, and Pn ϭ P, As) are a new family of high-T c superconductors, exhibiting high-transition temperature T c ϭ 26 K for the case of M ϭ Fe and Pn ϭ As. Since iron has been believed to be magnetic in many systems, their finding raises extremely interesting question concerning with relationships between magnetism and superconductivity. Moreover, coexistence of antiferromagnetism (AF) and superconductivity (SC) is also discovered in the recently synthesized cuprates with five CuO 2 planes. This may indicate the uniformly mixed phase of AF and SC in cuprates without disorder corresponds to spin glass, instead of other complex phases resulting from random potentials in disordered cuprates. Coexistence of AF and SC phases and multiband effects are also suggested for quaternary oxypictides LaOMPn. Here, comparison between quaternary oxypictides LaOMPn and cuprates is carried out from both theoretical and experimental grounds, leading to an extension of our magnetic (J) model for LaOMPn. Implications of these analyses are discussed in relation to possible candidates of HTSC with multi (N)-layers consisted of iso-electronic -d, -R, and -R systems, for which similar electronic phases are expected from the theoretical grounds.

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Renormalization of the elementary excitations in hole- and electron-doped cuprates due to spin fluctuations

Cited by 54 publications

References 41 publications

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

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

Theoretical studies on many‐band effects in superconductivity and magnetism

N‐bands Hubbard models. IV. Comparisons of electron‐ or hole‐doped quaternary oxypictides LaOMPn superconductors with cuprates

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