The description of superconductivity in terms of dielectric response function

Kirzhnit︠s︡, D. A.; Maksimov, Evgenii G.; Khomskiî, D. I.

doi:10.1007/bf00655243

Cited by 148 publications

(103 citation statements)

References 7 publications

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“…There exist different approaches to treat the superconductivity in polar crystals due to the electron -LO-phonon interaction, see, e. g., Refs. [16,17,18,19,21]. In the present work, the superconducting transition temperatures in n-doped SrTiO 3 are calculated within the dielectric function approach [21,17,22].…”

Section: Superconductivity In Complex Oxides and Their Interfaces Witmentioning

confidence: 99%

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Multiband Superconductivity Due to the Electron–LO–Phonon Interaction in Strontium Titanate and on a SrTiO3/LaAlO3 Interface

Klimin

Tempere

Devreese

et al. 2016

J Supercond Nov Magn

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In strontium titanate, the Fröhlich electron -LO-phonon interaction dominates the electron response and can also provide superconductivity. Because of high LO-phonon frequencies in SrTiO 3 , the superconducting system is non-adiabatic. We demonstrate that the dielectric function approach is an adequate theoretical method for superconductivity in SrTiO 3 and on the SrTiO 3 -LaAlO 3 interface. The critical temperatures are calculated using realistic material parameters. The obtained critical temperatures are in line with experimental data both for bulk and interface superconductivity. The present method explains the observed multidome shape of the critical temperature in SrTiO 3 as a function of the electron concentration due to multiband superconductivity.

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Section: Superconductivity In Complex Oxides and Their Interfaces Witmentioning

confidence: 99%

“…The adequate theoretical method for superconductivity in the non-adiabatic electron -LO-phonon system is the dielectric function approach [17,21,22]. We apply the dielectric function approach as a unique method to treat superconductivity both at the SrTiO 3 -LaAlO 3 interface [18] and in bulk doped strontium titanate.…”

mentioning

confidence: 99%

Multiband Superconductivity Due to the Electron–LO–Phonon Interaction in Strontium Titanate and on a SrTiO3/LaAlO3 Interface

Klimin

Tempere

Devreese

et al. 2016

J Supercond Nov Magn

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“…(4). The key point here is that we need not solve the full gap equation (2) who, instead, has succeeded in obtaining the correct pairing interaction 40 by consulting the pertinent work of Kirzhnits et al 51 .…”

Section: B Comments On the Formulationmentioning

confidence: 99%

Theory of Superconductivity in Graphite Intercalation Compounds

Takada

2011

Comprehensive Semiconductor Science and Technology

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On the basis of the model that was successfully applied to KC8, RbC8, and CsC8 in 1982, we have calculated the superconducting transition temperature Tc for CaC6 and YbC6 to find that the same model reproduces the observed Tc in those compounds as well, indicating that it is a standard model for superconductivity in the graphite intercalation compounds with Tc ranging over three orders of magnitude. Further enhancement of Tc well beyond 10 K is also predicted. The present method for calculating Tc from first principles is compared with that in the density functional theory for superconductors, with paying attention to the feature of determining Tc without resort to the concept of the Coulomb pseudopotential µ * .

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“…We should like to note, that the real choice of the pairing interaction V (ξ, ξ ′ ) can be made with the use of dielectric function formalism of superconductivity theory [5,6], where rather general expressions for the interaction kernel of the BCS theory are obtained. Unfortunately, it is unclear how we can get any nontrivial dependence of this kernel upon |ξ −ξ ′ |, because in this formalism we typically get the dependence of V (ξ, ξ ′ ) on |ξ| and |ξ ′ | separately [5,6].…”

Section: Equations For the Gap And Transition Temperaturementioning

confidence: 99%

“…Unfortunately, it is unclear how we can get any nontrivial dependence of this kernel upon |ξ −ξ ′ |, because in this formalism we typically get the dependence of V (ξ, ξ ′ ) on |ξ| and |ξ ′ | separately [5,6].…”

Section: Equations For the Gap And Transition Temperaturementioning

confidence: 99%

On the theory of “odd-pairing” superconductors

Sadovskiǐ¹,

Kuchinskiǐ²,

Érkabaev

1994

Physica C: Superconductivity

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We consider the model of superconducting pairing with the energy gap function which is odd over k−k F . In this case superconductivity is possible even in the presence of an arbitrarily large point-like repulsion between electrons, which is attractive for the theory of high-temperature superconductors. We discuss mainly a model pairing interaction for which the BCS equations can be solved exactly, allowing the complete analysis of the interplay of the usual ("even") and "odd" pairing, depending on the coupling constant. We also show that the normal impurities (disorder) lead to a rapid degradation of the "odd" pairing, which is even more rapid than in case of magnetic impurities in traditional superconductors.

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The description of superconductivity in terms of dielectric response function

Cited by 148 publications

References 7 publications

Multiband Superconductivity Due to the Electron–LO–Phonon Interaction in Strontium Titanate and on a SrTiO3/LaAlO3 Interface

Multiband Superconductivity Due to the Electron–LO–Phonon Interaction in Strontium Titanate and on a SrTiO3/LaAlO3 Interface

Theory of Superconductivity in Graphite Intercalation Compounds

On the theory of “odd-pairing” superconductors

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