The superconducting state in metallic hydrogen under pressure at 2000 GPa

Szczȩśniak, R.; Jarosik, M. W.

doi:10.1016/j.ssc.2009.08.019

Cited by 59 publications

(52 citation statements)

References 27 publications

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“…In particular, for the molecular phase of hydrogen (p ∈ 400, 500 GPa), the critical temperature grows rapidly from about 80 K to 350 K [21], [22], [23], and [24]. Above 500 GPa, the value of T C stabilizes in the range from ∼ 300 K to ∼ 470 K, whereas for 2 TPa, the maximum of the critical temperature able to reach even the value of 630 K is predicted [10], [11].…”

Section: Introductionmentioning

confidence: 96%

“…The predicted high value of the critical temperature for the superconducting state in hydrogen is related to the following facts: (i) the large value of the Debye frequency resulting from the small mass of the atomic nucleus (single proton) and (ii) lack of the electrons on the inner shells, which should result in the strong coupling of the electron-phonon type [10], [11].…”

Section: Introductionmentioning

confidence: 99%

“…The thermodynamics of the superconducting state in hydrogen has been studied for the few selected pressures [11], [22], [24]. The obtained results suggest that, due to the significant strong-coupling and retardation effects, the description with the use of the BCS theory [25], [26] is not sufficient and the Eliashberg method should be used instead [27].…”

Section: Introductionmentioning

confidence: 99%

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High-pressure superconducting state in hydrogen

Duda

Szczȩśniak

Sowińska

et al. 2016

Solid State Communications

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The paper determines the thermodynamic parameters of the superconducting state in the metallic atomic hydrogen under the pressure at 1 TPa, 1.5 TPa, and 2.5 TPa. The calculations were conducted in the framework of the Eliashberg formalism. It has been shown that the critical temperature is very high (in the range from 301.2 K to 437.3 K), as well as high are the values of the electron effective mass (from 3.43 me to 6.88 me), where me denotes the electron band mass. The ratio of the low-temperature energy gap to the critical temperature explicitly violates the predictions of the BCS theory: 2∆ (0) /kBTC ∈ 4.84, 5.85 . Additionally, the free energy difference between the superconducting and normal state, the thermodynamic critical field, and the specific heat of the superconducting state have been determined. Due to the significant strong-coupling and retardation effects those quantities cannot be correctly described in the framework of the BCS theory.

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Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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High-pressure superconducting state in hydrogen

Duda

Szczȩśniak

Sowińska

et al. 2016

Solid State Communications

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“…Under the extremely high pressure (p = 2000 GPa) the metallic state * Electronic address: jarosikmw@wip.pcz.pl of the hydrogen may transit itself into the superconducting state in the range of the temperatures from 413 K to 631 K [5], [7]. Let us note that in this case the thermodynamic properties of the superconducting state strongly deviate from the predictions of the BCS theory [10].…”

Section: Introductionmentioning

confidence: 97%

“…From the theoretical point of view the following facts enable to make the above assumption true [5]: (i) high value of the phonon frequency caused by a small mass of atomic nuclei building the crystal lattice (single proton), (ii) large value of the electron-phonon coupling related to the lack of the inner electronic shells and (iii) low value of the Coulomb pseudopotential (at least in the range of pressures up to 500 GPa [6], [7]). …”

Section: Introductionmentioning

confidence: 99%

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

̧śniak

Jarosik

2011

Physica B: Condensed Matter

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Evidence of Phonon‐Mediated Superconductivity in LaH₁₀ at High Pressure

Durajski

Wang

et al. 2020

Annalen der Physik

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Motivated by the recent experimental discovery of the high‐critical‐temperature superconductor LaH10 (250–260 K at high pressures 170–190 GPa), the influence of H isotope substitution on the phonon spectra, electron–phonon interactions, and thermodynamic properties of superconducting LaH10−xDx (x=0,2,5,8,10) at 250 GPa are studied. On the basis of first‐principles calculations, it is found that all investigated systems are dynamically stable in a clathrate structure with space group Fm3¯m and exhibit high superconducting critical temperatures Tc ranging from 169 to 234 K. The dominant role of hydrogen in enhancing Tc is examined by numerically solving the Eliashberg equations. The estimated critical temperature, superconducting energy gap, specific heat, and thermodynamic critical field demonstrate that the underlying mechanism of superconductivity in lanthanum hydride is conventional electron–phonon coupling, which manifests itself in terms of isotope effect.

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The superconducting state in metallic hydrogen under pressure at 2000 GPa

Cited by 59 publications

References 27 publications

High-pressure superconducting state in hydrogen

High-pressure superconducting state in hydrogen

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

Evidence of Phonon‐Mediated Superconductivity in LaH₁₀ at High Pressure

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The superconducting state in metallic hydrogen under pressure at 2000 GPa

Cited by 59 publications

References 27 publications

High-pressure superconducting state in hydrogen

High-pressure superconducting state in hydrogen

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

Evidence of Phonon‐Mediated Superconductivity in LaH10 at High Pressure

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Evidence of Phonon‐Mediated Superconductivity in LaH₁₀ at High Pressure