Interplay among critical temperature, hole content, and pressure in the cuprate superconductors

Angilella, G. G. N.; Pucci, R.; Siringo, Fabio

doi:10.1103/physrevb.54.15471

Cited by 45 publications

(56 citation statements)

References 42 publications

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“…We can simply use the experimental measured pseudogap temperature T * = T * ( ρ ) for several different compounds through the identification T * (ρ(r))=T * ( ρ ) which is probably the best estimation. Another possibility is perform a theoretical calculation as we have done in the past 37,36 for the T c of a given compound with density ρ and take T * (ρ(r)) = T c ( ρ ).…”

Section: The Phase Diagrammentioning

confidence: 99%

“…The hopping integrals could also be estimated from band structure calculations 42 . The interaction potential may be given by 36,40 .…”

Section: The Phase Diagrammentioning

confidence: 99%

“…They may be used to derive the onset of vanishing gap temperature as function of a given value of the density of carriers ρ. This procedure was used in the past to derive, with appropriate set of parameters, the T c (ρ) phase diagram for different HTSC systems for a single type 36,37,40,44 and for mixture of different order parameter symmetries 45 .…”

Section: The Phase Diagrammentioning

confidence: 99%

“…(5) 36,40 . In the calculations we have used a dispersion relation derived from the ARPES data 41 with five neighbors hopping integrals.…”

Section: The Phase Diagrammentioning

confidence: 99%

“…In fact, the latest STM/S results yields grain boundaries of the order of 100-10 nanometers while the typical coherent lengths are of the order of angstroms. Thus, this approach, with appropriate choice of experimental or calculated parameters, was used before to derive the T c (ρ) curves [36][37][38] for some HTSC families, since T c was, as in normal superconductors, taken as the onset of vanishing gap and ρ was taken as ρ . A two dimension extended Hubbard Hamiltonian in a square lattice has been used to model the quasi-bidimensionality of the carriers motion through the CuO 2 planes [36][37][38]40 and is given by…”

Section: The Phase Diagrammentioning

confidence: 99%

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Theory for high-Tcsuperconductors considering inhomogeneous charge distribution

2003

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We propose a general theory for the critical and pseudogap temperatures Tc and T * dependence on the doping concentration for high-Tc oxides, taking into account the charge inhomogeneities in the CuO2 planes. Several recent experiments have revealed that the charge density ρ in a given compound (mostly underdoped) is intrinsic inhomogeneous with large spatial variations which leads to a local charge density ρ(r). These differences in the local charge concentration yield insulator and metallic regions, either in an intrinsic granular or in a stripe morphology. In the metallic region, the inhomogeneous charge density produces also spatial or local distributions which form Cooper pairs at a local superconducting critical temperatures Tc(r) and zero temperature gap ∆0(r). For a given compound, the measured onset of vanishing gap temperature is identified as the pseudogap temperature, that is, T * , which is the maximum of all Tc(r). Below T * , due to the distribution of Tc(r)'s, there are some superconducting regions surrounded by insulator or metallic medium. The transition to a coherent superconducting state corresponds to the percolation threshold among the superconducting regions with different Tc(r)'s. The charge inhomogeneities have been studied by recent STM/S experiments which provided a model for our phenomenological distribution. To make definite calculations and compare with the experimental results, we derive phase diagrams for the BSCO, LSCO and YBCO families, with a mean field theory for superconductivity using an extended Hubbard Hamiltonian. We show also that this novel approach provides new insights on several experimental features of high-Tc oxides.

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Section: The Phase Diagrammentioning

confidence: 99%

“…The hopping integrals could also be estimated from band structure calculations 42 . The interaction potential may be given by 36,40 .…”

Section: The Phase Diagrammentioning

confidence: 99%

Section: The Phase Diagrammentioning

confidence: 99%

“…(5) 36,40 . In the calculations we have used a dispersion relation derived from the ARPES data 41 with five neighbors hopping integrals.…”

Section: The Phase Diagrammentioning

confidence: 99%

Section: The Phase Diagrammentioning

confidence: 99%

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Theory for high-Tcsuperconductors considering inhomogeneous charge distribution

2003

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Thermodynamic parameters of Zr superconductor at – structural phase transition

Szczȩśniak

Durajski

Szczęśniak

2015

Physica Status Solidi (b)

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Abstractauthoren In the present study, the thermodynamic parameters of the superconducting state in zirconium at the structural normalω–normalβ phase transition (∼30GPa) have been calculated. It has been shown that the jump of the critical temperature (TC) from 4.2 to 11K corresponds to the jump of the Coulomb pseudopotential from 0.26 to 0.41. Other thermodynamic quantities, such as the order parameter at zero Kelvin (Δfalse(0false)), the specific heat jump (ΔCfalse(TCfalse)), and the thermodynamic critical field (HCfalse(0false)) also undergo the abrupt change. The dimensionless parameters: RΔthinmathspace≡thinmathspace2Δfalse(0false)/kBTC, RCthinmathspace≡thinmathspaceΔCfalse(TCfalse)/CNfalse(TCfalse), and RH≡TCCNfalse(TCfalse)/HC2false(0false) are equal to the following: RΔ∈{3.62,4.27}, RC∈{1.63,2.01}, and RH∈{0.167,0.139}, respectively. Additionally, the structural phase transition induces the strong variation of the ratio of the electron effective mass to the electron band mass: me★/me∈{1.84,2.98}. From the physical point of view, the increasing deviations of the superconducting parameters from the predictions of the BCS theory at the structural normalω–normalβ phase transition have tight relation with the corresponding behavior of the electron–phonon coupling.

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Can the d-Orbital Splitting Unveil the Local Structure of Cu $$^{2+}$$ Ions? Study on the K $$_2$$ ZnF $$_4$$ :Cu $$^{2+}$$ Archetype

Rodríguez

2017

Correlations in Condensed Matter Under Extreme Conditions

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Interplay among critical temperature, hole content, and pressure in the cuprate superconductors

Cited by 45 publications

References 42 publications

Theory for high-Tcsuperconductors considering inhomogeneous charge distribution

Theory for high-Tcsuperconductors considering inhomogeneous charge distribution

Thermodynamic parameters of Zr superconductor at – structural phase transition

Can the d-Orbital Splitting Unveil the Local Structure of Cu $$^{2+}$$ Ions? Study on the K $$_2$$ ZnF $$_4$$ :Cu $$^{2+}$$ Archetype

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