Electronic Theory for Superconductivity in High-T c Cuprates and Sr2RuO4

Manske, Dirk; Eremin, I.

doi:10.1007/978-3-642-18914-2_9

Cited by 7 publications

(18 citation statements)

References 174 publications

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“…[49,50]) and the fluctuation-exchange (FLEX) approximation (see, e.g., Refs. [51,52] and reviews [7,53]), a system of equations was derived within the Fermi-liquid model to study self-consistently singleelectron GFs and the spin and charge dynamical susceptibility. Within the FLEX approximation, the superconducting d-wave pairing was found in a narrow range of doping, very close to the AF instability.…”

Section: Comparison With Previous Theoretical Studiesmentioning

confidence: 99%

On the theory of superconductivity in the extended Hubbard model

Плакида

Oudovenko

2013

Eur. Phys. J. B

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A microscopic theory of superconductivity in the extended Hubbard model which takes into account the intersite Coulomb repulsion and electron-phonon interaction is developed in the limit of strong correlations. The Dyson equation for normal and pair Green functions expressed in terms of the Hubbard operators is derived. The self-energy is obtained in the noncrossing approximation. In the normal state, antiferromagnetic short-range correlations result in the electronic spectrum with a narrow bandwidth. We calculate superconducting Tc by taking into account the pairing mediated by charge and spin fluctuations and phonons. We found the d-wave pairing with highTc mediated by spin fluctuations induced by the strong kinematic interaction for the Hubbard operators. Contributions to the d-wave pairing coming from the intersite Coulomb repulsion and phonons turned out to be small.

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Section: Comparison With Previous Theoretical Studiesmentioning

confidence: 99%

On the theory of superconductivity in the extended Hubbard model

Плакида

Oudovenko

2013

Eur. Phys. J. B

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“…The very temperature-composition (doping) phase diagrams supported this idea, since undoped and slightly doped oxides were found antiferromagnetic [26,103,[294][295][296][297][298][299][300][301][302][303][304]. However, a plethora of theories suggesting virtual spin fluctuations as the origin of superconductivity in high-T c oxides and leading to the d x 2 −y 2 symmetry of the superconducting order parameter have been developed [6,11,15,103,302,[305][306][307][308][309][310].…”

Section: Advances In Condensed Matter Physicsmentioning

confidence: 99%

Competition of Superconductivity and Charge Density Waves in Cuprates: Recent Evidence and Interpretation

Gabovich

Войтенко

Ekino

et al. 2010

Advances in Condensed Matter Physics

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Explicit and implicit experimental evidence for charge density wave (CDW) presence in high-Tcsuperconducting oxides is analyzed. The theory of CDW superconductors is presented. It is shown that the observed pseudogaps and dip-hump structures in tunnel and photoemission spectra are manifestations of the same CDW gapping of the quasiparticle density of states. Huge pseudogaps are transformed into modest dip-hump structures at low temperatures,T, when the electron spectrum superconducting gapping dominates. Heat capacity jumps at the superconducting critical temperature and the paramagnetic limit are calculated for CDW superconductors. For a certain range of parameters, the CDW state in ad-wave superconductor becomes reentrant withT, the main control quantity being a portion of dielectrcally gapped Fermi surface. It is shown that in the weak-coupling approximation, the ratio between the superconducting gap at zero temperatureΔ(T=0)andTchas the Bardeen-Cooper-Schrieffer value fors-wave Cooper pairing and exceeds the corresponding value ford-wave pairing of CDW superconductors. Thus, large experimentally found values2Δ(T=0)/Tc≈5÷8are easily reproduced with reasonable input parameter values of the model. The conclusion is made that CDWs play a significant role in cuprate superconductivity.

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“…(7), with the RPA form χ(q, ω) = χ 0 (q, ω)/[1 − g q χ 0 (q, ω)] (see, e.g., Ref. [5]) has shown that the RPA expression provides reasonable results at large doping, while in the underdoped region the RPA formula fails to describe spin-wave-like excitations. [24] Whereas the damping of spin excitations in Eq.…”

Section: A Static Propertiesmentioning

confidence: 99%

“…[4]), while in the overdoped region the random phase approximation (RPA) for weakly correlated itinerant electrons can be applied (see, e.g., Ref. [5]). …”

Section: Introductionmentioning

confidence: 99%

Dynamic spin susceptibility in thet−Jmodel

2009

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A relaxation-function theory for the dynamic spin susceptibility in the t-J model is presented. By a sum-rule-conserving generalized mean-field approximation (GMFA), the two-spin correlation functions of arbitrary range, the staggered magnetization, the uniform static susceptibility, and the antiferromagnetic correlation length are calculated in a wide region of hole doping and temperaturs. A good agreement with available exact diagonalization (ED) data is found. The correlation length is in reasonable agreement with neutron-scattering experiments on La 2−δ Sr δ CuO4. Going beyond the GMFA, the self-energy is calculated in the mode-coupling approximation. The spin dynamics at arbitrary frequencies and wave vectors is studied for various temperatures and hole doping. At low doping a spin-wave-type behavior is found as in the Heisenberg model, while at higher doping a strong damping caused by hole hopping occurs, and a relaxation-type spin dynamics is observed in agreement with the ED results. The local spin susceptibility and its ω/T scaling behavior are calculated in a reasonable agreement with experimental and ED data.

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Electronic Theory for Superconductivity in High-T c Cuprates and Sr2RuO4

Cited by 7 publications

References 174 publications

On the theory of superconductivity in the extended Hubbard model

On the theory of superconductivity in the extended Hubbard model

Competition of Superconductivity and Charge Density Waves in Cuprates: Recent Evidence and Interpretation

Dynamic spin susceptibility in thet−Jmodel

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