Superconductivity of calcium in phase VI

̧śniak, R. Szcze; Durajski, A. P.

doi:10.1016/j.physc.2011.09.017

Cited by 20 publications

(15 citation statements)

References 30 publications

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“…However, it would require the significant increase in the value of M , which is not necessary from the physical point of view, because in the low temperature range, the order parameter becomes saturated. Performing calculations we have used the numerical methods tested in the papers [27][28][29][30][31].…”

Section: Formalismmentioning

confidence: 99%

Influence of strong-coupling and retardation effects on superconducting state in YB6 compound

Bujak

Szewczyk

Kostrzewa

et al. 2018

Physica B: Condensed Matter

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In the framework of strong-coupling formalism, we have calculated the thermodynamic parameters of superconducting state in the YB6 compound. The values of critical temperature (TC) are 9.5 K and 7.9 K for the Coulomb pseudopotential µ ⋆ = 0.1 and 0.2, respectively. In the paper, we have determined the low temperature values of order parameter (∆(0)), specific heat jump at the critical temperature (∆C(TC )), and thermodynamic critical field (HC(0)). The dimensionless thermodynamic ratios: R∆ = 2∆ (0) /kBTC , RC = ∆C (TC ) /C N (TC ), and RH = TCC N (TC) /H 2 C (0) are equal to: R∆ (µ ⋆ ) ∈ {4.48, 4.35}, RC (µ ⋆ ) ∈ {2.62, 2.55}, and RH (µ ⋆ ) ∈ {0.146, 0.157}. Due to the significant strong-coupling and retardation effects (kBTC /ω ln ∼ 0.1) those values highly deviate from the predictions of BCS theory.

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Section: Formalismmentioning

confidence: 99%

Influence of strong-coupling and retardation effects on superconducting state in YB6 compound

Bujak

Szewczyk

Kostrzewa

et al. 2018

Physica B: Condensed Matter

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“…The Eliashberg equations have been solved numerically for 2201 Matsubara frequencies (M = 1100). The stability of the solutions has been achieved for the temperatures greater or equal to T 0 ≡ 8.12 K. Additional information on the means of the analysis of the Eliashberg equations, the reader can find in the papers: [20], [21], and [22].…”

Section: The Eliashberg Equationsmentioning

confidence: 99%

The superconducting phase of calcium under the pressure at 200GPa: The strong-coupling description

̧śniak

Durajski

2012

Solid State Communications

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The thermodynamic parameters of the superconducting state in Calcium under the pressure at 200 GPa have been determined. The numerical analysis by using the Eliashberg equations in the mixed representation has been conducted. It has been stated, that the critical temperature (TC) decreases from 36.15 K to 20.79 K dependently on the assumed value of the Coulomb pseudopotential (µ * ∈ 0.1, 0.3 ). Next, the order parameter near the temperature of zero Kelvin (∆ (0)) has been obtained. It has been proven, that the dimensionless ratio 2∆ (0) /kBTC decreases from 4.25 to 3.90 together with the growth of µ * . Finally, the ratio of the electron effective mass to the electron bare mass (m * e /me) has been calculated. It has been shown, that m * e /me takes the high value in the whole range of the superconducting phase's existence, and its maximum is equal to 2.23 for T = TC.

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“…Let us note that the thermodynamic properties of the superconducting state of lithium and calcium differ very significantly from the expectations of the BCS theory [35], [36], [37], [38], [39], [40]. It is also important to describe their properties, it is necessary to assume anomalously high values of the Coulomb pseudopotential (µ ⋆ ).…”

Section: Introductionmentioning

confidence: 99%

“…However, it is unclear whether the value of the critical temperature for CaH 6 will not to significantly decrease when too large values of µ ⋆ are assumed. This possibility cannot be excluded a priori taking into account the results obtained for the superconducting state in calcium [36], [40]. Due to extremely interesting results obtained in the publication [41], we have determined the values of all relevant thermodynamic parameters characterizing the superconducting state in CaH 6 .…”

Section: Introductionmentioning

confidence: 99%

The thermodynamic properties of the high-pressure superconducting state in the hydrogen-rich compounds

Szczȩśniak

Durajski

2013

Solid State Sciences

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Superconductivity of calcium in phase VI

Cited by 20 publications

References 30 publications

Influence of strong-coupling and retardation effects on superconducting state in YB6 compound

Influence of strong-coupling and retardation effects on superconducting state in YB6 compound

The superconducting phase of calcium under the pressure at 200GPa: The strong-coupling description

The thermodynamic properties of the high-pressure superconducting state in the hydrogen-rich compounds

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