Properties of the superconducting state in molecular metallic hydrogen under pressure at 347GPa

̧śniak, R. Szcze; Jarosik, M. W.

doi:10.1016/j.physb.2011.03.038

Cited by 26 publications

(16 citation statements)

References 23 publications

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“…12. The presented data demonstrate the correctness of the expressions (14) and (15). In the next step, the results have been generalized taking into account the Eliashberg function (6).…”

Section: The Range Of the Parameters Rh And Rc In The Hydrogen-mentioning

confidence: 60%

“…Of particular note are the strong local maxima of the function Re [∆ (ω)] and Im [∆ (ω)]. This behavior is related to the fact that for low temperatures, the course of ∆ (ω) is strongly correlated with the shape of the Eliashberg function [14], [60].…”

Section: The Order Parameter For Cah6mentioning

confidence: 99%

“…The numerical calculations carried out in the framework of the one-or multi-band model suggest that the thermodynamic properties of the superconducting state in the molecular hydrogen differ significantly from the expectations of the BCS theory [13], [14], [15], [16], [17]. * Electronic address: adurajski@wip.pcz.pl…”

Section: Introductionmentioning

confidence: 99%

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

Szczȩśniak

Durajski

2013

Solid State Sciences

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“…12. The presented data demonstrate the correctness of the expressions (14) and (15). In the next step, the results have been generalized taking into account the Eliashberg function (6).…”

Section: The Range Of the Parameters Rh And Rc In The Hydrogen-mentioning

confidence: 60%

Section: The Order Parameter For Cah6mentioning

confidence: 99%

See 1 more Smart Citation

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

Szczȩśniak

Durajski

2013

Solid State Sciences

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“…The numerical analysis was based on the Eliashberg equations. a, [8][9][10][11] Let us pay attention that the Eliashberg approach extends the original idea of Bardeen et al 12 In the framework of the Eliashberg formalism, the strong coupling corrections to the BCS results are dependent on the value of the parameter k B T C /ω ln . The quantity ω ln is called the logarithmic phonon frequency and…”

Section: Introductionmentioning

confidence: 99%

SPECIFIC HEAT AND THERMODYNAMIC CRITICAL FIELD FOR CALCIUM UNDER THE PRESSURE AT 120 GPa

2012

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In the paper, the thermodynamic parameters of the superconducting state for Calcium under the pressure at 120 GPa have been determined. The numerical analysis has been made in the framework of the Eliashberg approach. In particular, the free energy difference between the superconducting and normal state has been calculated. On the basis of the obtained results, the specific heat for the superconducting (C S ) and normal (C N ) state, as well as the thermodynamic critical field (H C ) have been determined. It has been shown that the characteristic values of the considered thermodynamic functions do not obey the BCS universal laws: ∆C(T C )/C N (T C ) = 2.48 and T C C N (T C )/H 2 C (0) = 0.154.

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“…Later, after the complicated numerical calculations, it has been found that the pressure of the metallization (p m ) for the hydrogen molecular phase equals about 400 GPa [5]. Thus, in the questioned pressure range, the existence of the superconducting state with the very high critical temperature can be expected [6][7][8][9].…”

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confidence: 99%

The superconducting state in the B2H6 compound at 360GPa

̧śniak

Drzazga

Duda

2013

Solid State Communications

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a b s t r a c tIn the paper, the thermodynamic properties of the superconducting state in the B 2 H 6 compound have been characterized. The pressure of 360 GPa has been taken into account. The calculations have been carried out in the framework of the Eliashberg formalism for the wide range of the Coulomb pseudopotential: μ ⋆ ∈〈0:1; 0:3〉. It has been found that the critical temperature (T C ) varies in the range from 147 K to 87 K, depending on the assumed value of the Coulomb pseudopotential. The ratio of the energy gap to the critical temperature ðR Δ ≡2Δð0Þ=k B T C Þ significantly exceeds the value predicted by the BCS theory: R Δ ∈〈4:24; 3:98〉. In the similar manner behaves the ratio of the specific heat jump to the heat of the normal state ðR C ≡ΔCðT C Þ=C N ðT C ÞÞ, namely: R C ∈〈2:33; 2:17〉. The parameter R H ≡T C C N ðT C Þ=H 2 C ð0Þ, where H C (0) is the thermodynamic critical field, ranges from 0.144 to 0.168.

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Properties of the superconducting state in molecular metallic hydrogen under pressure at 347GPa

Cited by 26 publications

References 23 publications

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

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

SPECIFIC HEAT AND THERMODYNAMIC CRITICAL FIELD FOR CALCIUM UNDER THE PRESSURE AT 120 GPa

The superconducting state in the B2H6 compound at 360GPa

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