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Stojković, Branko P.; Pines, David

doi:10.1103/physrevlett.76.811

Cited by 122 publications

(120 citation statements)

References 17 publications

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“…The antiferromagnetic spin fluctuations described by χ s (q, iΩ n ) play a dominant role in the FLEX approximation. The characteristic results of the nearly anti-ferromagnetic Fermi liquid theory 17,53,54,55,56,59,60,72,73,75) are qualitatively reproduced within the FLEX approximation. The superconducting critical temperature T c is determined as the temperature below which the linearized Dyson-Gor'kov equation has a non-trivial solution ( Fig.…”

Section: §1 Introductionmentioning

confidence: 61%

“…The behavior has the same origin as that of the T -linear resistivity. 55,56) The imaginary part at ω = 0, that is the quasi-particle's damping, is large near (π, 0) ('hot spot') and is small near (π/2, π/2) ('cold spot'). The above momentum dependence plays a crucial role in the coherent in-plane transport and the incoherent c-axis transport.…”

Section: §1 Introductionmentioning

confidence: 99%

“…First, we describe the quasi-particles and the anti-ferromagnetic spin fluctuations by using the FLEX approximation. The characteristic momentum dependence arising from the anti-ferromagnetic spin fluctua-tions 55,56) are described by the FLEX approximation. The superconducting fluctuations are derived from the pairing interaction mediated by the spin fluctuations.…”

Section: §1 Introductionmentioning

confidence: 99%

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Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-T_cCuprates

2001

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The pseudogap phenomena in High-Tc cuprates are investigated on the basis of the Hubbard model which includes only the on-site repulsive interaction U . We consider the pairing scenario for the pseudogap. The pseudogap arises from the resonance scattering due to the strong superconducting fluctuations. First, the electronic state and the anti-ferromagnetic spin fluctuations are calculated by using the fluctuation exchange (FLEX) approximation. The T-matrix which is the propagator of the superconducting fluctuations is calculated by extending theÉliashberg equation. The characteristics of the superconducting fluctuations due to the pairing interaction arising from the spin fluctuations are represented in the T-matrix. The self-energy due to the superconducting fluctuations is calculated by the T-matrix approximation. The pseudogap is shown in the single particle properties and the magnetic properties. Moreover, a comprehensive explanation of the doping dependence of the pseudogap is obtained. Furthermore, we apply the theory to the electron-doped cuprates and obtain the consistent results with the recent experiments. Finally, the self-consistent calculation for the spin fluctuations, superconducting fluctuations and the single particle properties are carried out within the FLEX and the self-consistent T-matrix approximations. The relation between the superconducting fluctuations and the spin fluctuations are clarified. The calculated superconducting critical temperature Tc is remarkably reduced from the results of the mean field (FLEX) calculation. In particular, it is shown that the critical temperature decreases with decreasing doping in the under-doped region with large U . The pseudogap phenomena in under-doped High-T c cuprates have been interested for many years. The pseudogap is considered to be a key issue for the comprehensive understanding of the High-T c superconductivity.The pseudogap phenomena mean the suppression of the spectral weight above T c without any long range order. They are universal phenomena observed in various compounds of High-T c cuprates in the under-doped region. First, the pseudogap was found in the magnetic excitation channel by the nuclear magnetic resonance (NMR) experiment. 1) At present, the pseudogap phenomena have been observed in various quantities which include NMR, 1, 2, 3, 4, 5, 6, 7) neutron scattering, 8) transport, 9, 10) optical spectrum, 11) electronic specific heat, 12) density of states 13) and the single particle spectral weight. 14) The experimental results are reviewed in ref. 15.There are many theoretical scenarios proposed for the pseudogap phenomena. An important one is the resonating valence bond (RVB) theory. The RVB theory is an approach from the non-Fermi liquid state and attributes the pseudogap to the singlet pairing of the spinons. 16) As an approach from the Fermi liquid state, the magnetic * E-mail: yanase@hosi.phys.s.u-tokyo.ac.jp * * Present address: Department of Physics, University of Tokyo, Tokyo 113-0033 scenario has been investigated. 17,18) ...

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Section: §1 Introductionmentioning

confidence: 61%

Section: §1 Introductionmentioning

confidence: 99%

Section: §1 Introductionmentioning

confidence: 99%

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Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-T_cCuprates

2001

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“…In high-T c cuprates, it has been discussed that the charge transport is governed by two different scattering times with different temperature dependences [4][5][6]; according to this "two-scattering-time" model, in-plane resistivity ρ ab is governed by the transport scattering time τ tr (∼T −1 ) and the Hall angle θ H is governed by the "Hall scattering time" τ H (∼T −2 ). However, this idea of "scattering-time separation" has not yet gained a complete consensus and there are other approaches to understand the unusual normal-state transport properties [7,8]. Therefore, it would be useful to establish the temperature and doping range in which the T 2 behavior of the Hall scattering rate τ −1 H is observed.…”

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confidence: 99%

Nonuniversal power law of the Hall scattering rate in a single-layer cuprateBi2Sr2−x
Ando
¹
,
Murayama
²

1999
Phys. Rev. B
91
12
100
2
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In-plane resistivity, Hall coefficient, and magnetoresistance (MR) are measured in a series of highquality Bi2Sr2−xLaxCuO6 crystals with various carrier concentrations, from underdope to overdope. It is found that the temperature dependence of the Hall angle obeys a power law T α with α systematically decreasing with increasing doping, which questions the universality of the Fermi-liquid-like T 2 dependence of the "Hall scattering rate". The systematics of MR indicates an increasing role of spin scattering in underdoped samples.PACS numbers: 74.25. Fy, 74.62.Dh, 74.72.Hs The peculiar normal-state properties of high-T c cuprates are generally considered to be the keys to elucidate the high-T c mechanism, since they give us a clue to clarify the nature of the strongly-correlated electronic state of the cuprates. To understand the underlying electronic state of the cuprates, it is desirable to study the normal state at low temperatures [1] and to chase the systematic evolution thereof with carrier concentration [2]. Therefore, particularly useful system for the normalstate study is such a system where T c is relatively low and where the the carrier concentration can be changed in a wide range from underdope to overdope.A typical study in which a wide temperature window for the normal-state is desirable is the measurement of the temperature dependence of the scattering time. For example, the observation of the T -linear resistivity from 10 K to 700 K in Bi 2 Sr 2 CuO 6 (Bi-2201) [3] had a strong impact, because it clearly demonstrated the dominance of the electron-electron interaction in the scattering mechanism. In high-T c cuprates, it has been discussed that the charge transport is governed by two different scattering times with different temperature dependences [4][5][6]; according to this "two-scattering-time" model, in-plane resistivity ρ ab is governed by the transport scattering time τ tr (∼T −1 ) and the Hall angle θ H is governed by the "Hall scattering time" τ H (∼T −2 ). However, this idea of "scattering-time separation" has not yet gained a complete consensus and there are other approaches to understand the unusual normal-state transport properties [7,8]. Therefore, it would be useful to establish the temperature and doping range in which the T 2 behavior of the Hall scattering rate τ −1 H is observed. There are two widely-known cuprate systems which satisfy the requirements of the relatively low T c and the availability of a wide doping range; La 2−x Sr x CuO 4 (LSCO) system and Bi-2201 system. Bi-2201 has not been as intensively studied as LSCO, mostly because of the difficulty in obtaining high-quality single crystals. A number of problems have been known for Bi-2201 crystals: (a) the transport properties of B-2201 are quite non-reproducible even among crystals of nominally the same composition [9-11]; (b) the residual resistivity of the in-plane resistivity ρ ab is usually large (the smallest value reported to date is 70 µΩcm [3,11]), as opposed to LSCO, YBa 2 Cu 3 O 7 (YBCO), or Bi 2 Sr 2 CaCu 2...

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“…1). Hence, for our model to be valid, these cold quasiparticles must see the incommensuration which implies that their mean free path must be large compared to the domain size of O(ξ), a condition which is satisfied experimentally [16]. Moreover, the charge density variation associated with the intrinsically inhomogeneous behavior must be sufficiently small that the planar quasi-particle momentum, k, continues to be a good quantum number; recent NMR experiments [17] suggest that this is the case.…”

Section: Theoretical Modelmentioning

confidence: 99%

Magnetic coherence as a universal feature of cuprate superconductors

Morr

Pines

2000

Phys. Rev. B

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Recent inelastic neutron scattering (INS) experiments on La2−xSrxCuO4 have established the existence of a magnetic coherence effect, i.e., strong frequency and momentum dependent changes of the spin susceptibility, χ ′′ , in the superconducting phase. We show, using the spin-fermion model for incommensurate antiferromagnetic spin fluctuations, that the magnetic coherence effect establishes the ability of INS experiments to probe the electronic spectrum of the cuprates, in that the effect arises from the interplay of an incommensurate magnetic response, the form of the underlying Fermi surface, and the opening of the d-wave gap in the fermionic spectrum. In particular, we find that the magnetic coherence effect observed in INS experiments on La2−xSrxCuO4 requires that the Fermi surface be closed around (π, π) up to optimal doping. We present several predictions for the form of the magnetic coherence effect in YBa2Cu3O6+x in which an incommensurate magnetic response has been observed in the superconducting state.

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Anomalous Hall Effect inYBa2Cu3O7

Cited by 122 publications

References 17 publications

Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-T_cCuprates

Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-T_cCuprates

Nonuniversal power law of the Hall scattering rate in a single-layer cuprateBi2Sr2−x
Ando
¹
,
Murayama
²

1999
Phys. Rev. B
91
12
100
2
View full text Add to dashboard Cite

Magnetic coherence as a universal feature of cuprate superconductors

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Anomalous Hall Effect inYBa2Cu3O7

Cited by 122 publications

References 17 publications

Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-TcCuprates

Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-TcCuprates

Nonuniversal power law of the Hall scattering rate in a single-layer cuprateBi2Sr2−xAndo1, Murayama2 1999Phys. Rev. B91121002View full textAdd to dashboardCite

Magnetic coherence as a universal feature of cuprate superconductors

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Product

Resources

About

Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-T_cCuprates

Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-T_cCuprates

Nonuniversal power law of the Hall scattering rate in a single-layer cuprateBi2Sr2−x
Ando
¹
,
Murayama
²

1999
Phys. Rev. B
91
12
100
2
View full text Add to dashboard Cite