High-pressure superconductivity in yttrium: The strong-coupling approach

Jarosik, M. W.; Wrona, I. A.; Duda, A.

doi:10.1016/j.ssc.2015.06.014

Cited by 7 publications

(7 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where T Y c = 9.27 K is the critical temperature for yttrium at 31 GPa [31]; m, k, n and p are integers from the material designation; designation of an element -its serial number, or nuclear charge, i.e. Y = 39, Ba = 56, Cu = 29, O = 8; N is the number of elements, not counting Cu-O: i.e.…”

Section: Methods and Resultsmentioning

confidence: 99%

“…When outputting (6), other values of T Y c were also used: T Y c = 7.9 K at 26 GPa [31] and T Y c = 1.5 − 2.7 K at 12-16 GPa [33], but the formulas obtained with a different combination of numbers in front of the brackets of ( 6) gave much worse agreement with the experiment. This suggests that the mechanical stresses in the crystal cell of Y-based cuprates are close to 30 GPa, at least near the Y atom.…”

Section: Methods and Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Approach in Superconductivity: An Advanced Study

Kizka¹

2022

Preprint

View full text Add to dashboard Cite

The dependence of the critical temperature $T_c$ of high-temperature superconductors of various families on their composition and structure is proposed. A clear dependence of the critical temperature of high-temperature superconductors (hydrides, Hg- and Y-based cuprates) on the serial number of the constituent elements, their valence and crystal lattice structure has been revealed. For cuprates, it is shown that it is possible to obtain even higher temperatures of superconducting transitions at normal pressure by implanting mercury atoms into the crystal lattice of cuprate.

show abstract

Section: Methods and Resultsmentioning

confidence: 99%

Section: Methods and Resultsmentioning

confidence: 99%

Numerical Approach in Superconductivity: An Advanced Study

Kizka¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Symbol θ denotes the Heaviside unit function and ω c is the cut-off frequency set to ten times the maximum phonon frequency ω c = 10Ω max = 100 meV. We solved the Eliashberg equations in a numerical way using the self-consistent iteration methods [19], which have been extensively examined and successfully used in our previous study [20][21][22][23].…”

Section: Theoretical Model and Computational Methodsmentioning

confidence: 99%

On the Magnetic Penetration Depth in Superconducting Ultrathin Lead Films

Durajski

Szczȩśniak

2017

Acta Phys. Pol. A

View full text Add to dashboard Cite

In the present paper, we report a theoretical study of the magnetic London penetration depth in ultrathin Pb films consisting of five to ten monolayers. Our calculations were performed within the framework of the strongcoupling approach. We observed that for thin films, the thermodynamic parameter exhibits an oscillatory behaviour connected with a quantum size effect. Moreover, we proved that the London penetration depth of Pb films cannot be correctly described using the Bardeen-Cooper-Schrieffer theory of superconductivity due to the strong-coupling and retardation effects. The Eliashberg theory, used in this paper, goes beyond the BCS theory to include these effects which allows to describe the superconducting state on the quantitative level.

show abstract

“…Due to the high predicted value of the electron-phonon coupling constant (λ BiH5 = 1.236 and λ BiH6 = 1.259 [18]) we performed the calculations for both cases as a part of Eliashberg formalism [19]. A detailed description of Eliashberg equations and the computational methods used has been presented in the works [20][21][22][23][24][25][26]. The spectral function (α 2 F (Ω)) used in numerical calculations has been determined by Y. Ma et al with an use of the density functional theory [18].…”

mentioning

confidence: 99%

Description of the thermodynamic properties of $\rm{BiH_{5}}$ and $\rm{BiH_{6}}$ superconductors beyond the mean-field approximation

Jarosik,

Drzazga,

Domagalska

et al. 2018

Preprint

View full text Add to dashboard Cite

The ab initio calculations suggest (Y. Ma et al.), that the high-pressure (p = 200 GPa) superconducting state in BiH5 and BiH6 compounds characterizes with a high value of the critical temperature (TC ∼ 100 K). Due to the large value of the electron-phonon coupling constant (λ ∼ 1.2), the thermodynamic parameters of the superconducting phase in BiH5 and BiH6 have been determined beyond the mean-field approximation -in the framework of the Eliashberg equations formalism. We have calculated the dependence of the order parameter (∆) and the wave function renormalization factor on the temperature. Then we have estimated the free energy difference between the superconducting state and the normal state, the thermodynamic critical field (HC) and the specific heat of the superconducting state (C S ) and the normal state (C N ). The values of the dimensionless ratios R∆ = 2∆ (0) /kBTC, RC = ∆C (TC ) /C N (TC ) and RH = TC C N (TC) /H 2 C (0) are

show abstract

High-pressure superconductivity in yttrium: The strong-coupling approach

Cited by 7 publications

References 49 publications

Numerical Approach in Superconductivity: An Advanced Study

Numerical Approach in Superconductivity: An Advanced Study

On the Magnetic Penetration Depth in Superconducting Ultrathin Lead Films

Description of the thermodynamic properties of $\rm{BiH_{5}}$ and $\rm{BiH_{6}}$ superconductors beyond the mean-field approximation

Contact Info

Product

Resources

About