Abstract
Hydrogen-rich compounds under extreme pressure are the most promising systems for searching a high-temperature superconductivity. In presented paper, we report analysis of the thermodynamic properties of hydrogenated germanium (germane, GeH4) at 220 GPa obtained within the framework of the Migdal-Eliashberg theory. We observe that together with the increase of Coulomb pseudopotential from 0.1 to 0.3 the critical temperature decreases from 92.36 K to 52.80 K. A similar trend is also well-visible in the case of other thermodynamic properties. Moreover, we study the influence of external pressure on the superconducting state of GeH4. On this basis we conclude that increase of pressure from 20 to 220 GPa has a pronounced effect on the thermodynamic stability of germane. Finally, it is proved that the properties of the superconducting state of GeH4 differ markedly from predictions of the Bardeen-Cooper-Schrieffer (BCS) theory.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N.W. Ashcroft, Phys. Rev. Lett. 92, 187002 (2004)
N.W. Ashcroft, Phys. Rev. Lett. 21, 1748 (1968)
V.V. Struzhkin, Physica C 514, 77 (2015)
M.I. Eremets, I.A. Trojan, S.A. Medvedev, J.S. Tse, Y. Yao, Science 319, 1506 (2008)
A. Drozdov, M.I. Eremets, I.A. Troyan, V. Ksenofontov, S.I. Shylin, Nature 525, 73 (2015)
A. Drozdov, M.I. Eremets, I.A. Troyan, arXiv:1508.06224 (2015)
D.Y. Kim, R.H. Scheicher, C.J. Pickard, R.J. Needs, R. Ahuja, Phys. Rev. Lett. 107, 117002 (2011)
D. Szczȩśniak, T.P. Zemła, Supercond. Sci. Technol. 28, 085018 (2015)
Y. Li, J. Hao, H. Liu, Y. Li, Y. Ma, J. Chem. Phys. 140, 174712 (2014)
G. Gao, H. Wang, A. Bergara, Y. Li, G. Liu, Y. Ma, Phys. Rev. B 84, 064118 (2011)
R. Szczȩśniak, A.P. Durajski, Supercond. Sci. Technol. 27, 015003 (2014)
D.Y. Kim, R.H. Scheicher, H.K. Mao, T.W. Kang, R. Ahuja, Proc. Natl. Acad. Sci. USA 107, 2793 (2010)
A.P. Durajski, R. Szczȩśniak, Supercond. Sci. Technol. 27, 115012 (2014)
G. Gao et al., Proc. Natl. Acad. Sci. U.S.A. 107, 1317 (2010)
G. Gao, A.R. Oganov, A. Bergara, M. Martinez-Canales, T. Cui, T. Iitaka, Y. Ma, G. Zou, Phys. Rev. Lett. 101, 107002 (2008)
C. Zhang, X.J. Chen, Y.L. Li, V. Struzhkin, R. Hemley, H.K. Mao, R.Q. Zhang, H.Q. Lin, J. Supercond. Nov. Magn. 23, 717 (2010)
G. Gao, R. Hoffmann, N.W. Ashcroft, H. Liu, A. Bergara, Y. Ma, Phys. Rev. B 88, 184104 (2013)
A.P. Durajski, Eur. Phys. J. B 87, 210 (2014)
H. Wang, J.S. Tse, K. Tanaka, T. Iitaka, Y. Ma, Proc. Natl. Acad. Sci. USA 109, 6463 (2012)
X. Feng, J. Zhang, G. Gao, H. Liu, H. Wang, RSC Adv. 5, 59292 (2015)
J.M. McMahon, M.A. Morales, C. Pierleoni, D.M. Ceperley, Rev. Mod. Phys. 84, 1607 (2012)
L. Sun, A.L. Ruoff, C.S. Zha, G. Stupian, J. Phys.: Condens. Matter 18, 8573 (2006)
X.J. Chen, V.V. Struzhkin, Y. Song, A.F. Goncharov, M. Ahart, Z. Liu, H.K. Mao, R.J. Hemley, Proc. Natl. Acad. Sci. USA 105, 20 (2008)
G. Gao et al., Proc. Natl. Acad. Sci. USA 107, 1317 (2010)
M. Martinez-Canales, A.R. Oganov, Y. Ma, Y. Yan, A.O. Lyakhov, A. Bergara, Phys. Rev. Lett. 102, 087005 (2009)
Z. Li, W. Yu, C. Jin, Solid State Commun. 143, 353 (2007)
R. Szczȩśniak, A.P. Durajski, D. Szczȩśniak, Solid State Commun. 165, 39 (2013)
G.M. Eliashberg, Sov. Phys. J. Exp. Theor. Phys. 11, 696 (1960)
J. Carbotte, Rev. Mod. Phys. 62, 1027 (1990)
P. Giannozzi et al., J. Phys.: Condens. Matter 21, 395502 (2009)
F. Marsiglio, M. Schossmann, J.P. Carbotte, Phys. Rev. B 37, 4965 (1988)
J. Bardeen, M. Stephen, Phys. Rev. 136, A1485 (1964)
J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 106, 162 (1957)
J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 108, 1175 (1957)
B. Mitrović, H.G. Zarate, J.P. Carbotte, Phys. Rev. B 29, 184 (1984)
F. Marsiglio, J.P. Carbotte, Phys. Rev. B 33, 6141 (1986)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Szczȩśniak, R., Durajski, A. Detailed study of the superconducting properties in compressed germane. Eur. Phys. J. B 88, 342 (2015). https://doi.org/10.1140/epjb/e2015-60752-6
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2015-60752-6