Abstract
It is shown that the existence of superconductivity in a material, and its critical temperature, depends strongly on pressure. Several parameters are pressure-dependent: (1) structure, particularly bond distances, (2) Hubbard U, (3) coupling between sites, and (4) orbital occupation number. Eliashberg theory often leads to incorrect predictions, for example in A3C60 with A = K, Rb, and Cs. While T C is correctly predicted to be higher for Rb3C60 than for K3C60 and decreasing with pressure in both cases, Cs3C60 is not superconducting at ambient pressure. The same is the case for pure metals such as Cs and Ca (superconducting at high pressure). A theory for electron pairs, similar to the Marcus model for single electrons, appears to agree with the experiment in most cases.
Similar content being viewed by others
References
Ekimov, E.A., Sidorov, V.A., Bauer, E.D., Melnik, N.N., Curro, N.J., Thompson, J.D., Stishov, S.M.: Nature 428, 542–545 (2004)
Takabayashi, Y., Ganin, A.Y., Jeglič, P., Arčon, D., Takano, T., Iwasa, Y., Ohishi, Y., Takata, M., Takeshita, N., Prassides, K., Rosseinsky, M.J.: Science 323, 1585–1590 (2009)
Migdal, A.B.: Zh. Eksp. Teor. Fiz. 34, 1438 (1958) [Sov. Phys. JETP 7, 996 (1958)]
Eliashberg, G.M.: Zh. Eksp. Teor. Fiz. 38, 966 (1958) [Sov. Phys. JETP 11, 696 (1960)]
Bardeen, J., Cooper, L.N., Schrieffer, J.R.: Phys. Rev. 108, 1175–1204 (1957)
Marcus, R.A.: Ann. Rev. Phys. Chem. 15, 155 (1964)
Mott, N.F.: Revs. Mod. Phys. 40, 677–683 (1968)
Marcus, R.A.: Ann. Rev. Phys. Chem. 15, 155 (1964)
Hush, N.S.: Chem. Phys. 10, 557–582 (1975)
Jortner, J., Bixon, M.: Advances in Chemical Physics, vol. 107, part 2, Wiley - Interscience 2009
Day, P., Hush, N.S., Clark, R.J.H.: Phil. Trans. Roy. Soc. A 366, 5–14 (2008)
Anderson, P.W.: Phys. Rev. Lett. 34, 953–955 (1975)
Gunnarsson, O.: Revs. Mod. Phys. 69, 575–606 (1997)
Born, M.: Verhandl. d. Deutschen Physik. Gesellschaft 21, 13 (1919)
Haber, F.: Verhandl. d. Deutschen Physik. Gesellschaft 21, 750 (1919)
Landau, L.D.: Phys. Z. Sowjetunion 3, 664 (1933)
Landau, L.D., Pekar, S.I., Eksp, Zh.: Teor. Fiz. 18, 419–423 (1948)
Cooper, L.N.: Phys. Rev. 104, 1189–1190 (1956)
Ginzburg, V.L., Landau, L.D.: Zh. Eksp. Teor. Fiz. 20, 1064 (1950)
Varma, C.M.: Phys. Rev. Lett. 61, 2713 (1988)
Larsson, S., Brazilian, J.: Physics 33, 744–749 (2003)
Kojima, N., Hasegawa, M., Kitagawa, H., Kikegawa, T., Shimomura, O.: J. Am. Chem. Soc. 116, 11368–11374 (1994)
Sleight, A.W.: Acc. Chem. Res. 28, 103 (1995)
Larsson, S.: J. Mod. Phys. 4, 29–32 (2013)
Born, M.: Z. Phys. 1, 45 (1920)
Hase, I., Yanagizawa, T.: J. Phys. Conf. Ser. 108, 012011 (2008)
Löwdin, P.-O.: Rev. Mod. Phys. 35, 496 (1963)
Larsson, S.: J. Supercond. Nov. Magn. 26, 1089–1091 (2013)
Larsson, S., Rodríguez-Monge, L.: Int. J. Quant. Chem. Symp. 27, 655–665 (1993)
Ganin, A.Y., Takabayashi, Y., Khimyak, Y.Z., Margadonna, S., Tamai, A., Rosseinsky, M.J., Prassides, K.: Nat. Mater. 7, 3 (2008)
Takabayashi, Y., Ganin, A.Y., Jeglič, P., Arčon, D., Takano, T., Iwasa, Y., Ohishi, Y., Takata, M., Takeshita, N., Prassides, K., Rosseinsky, M.J.: Science 323, 1585–1590 (2009)
Fleming, R.M., Ramirez, A.P., Rosseinsky, M.J., Murphy, D.W., Haddon, R.C., Zahurak, S.M., Makhija, A.V.: Nature 352, 787–788 (1991)
Larsson, S.: Chem. Phys. 236, 133–150 (1998)
Larsson, S., Klimkāns, A.: Int. J. Quant. Chem. 75, 543–548 (1999)
Hamilton, D.C., Jensen, M.A.: Phys. Rev. Lett. 11, 205–207 (1963)
Wittig, J., Matthias, B.T.: Phys. Rev. Lett. 22, 634 (1969)
Wittig, J.: Phys. Rev. Lett. 24, 812–815 (1970)
Johansson, B., Rosengren, A.: Phys. Rev. B 11, 2836–2857 (1975)
Duthie, J.C., Pettifor, D.G.: Phys. Rev. Lett. 38, 564–567 (1976)
Debessai, M., Matsuoka, T., Hamlin, J.J., Bi, W., Meng, Y., Shimizu, K., Schilling, J.S.: J. Phys. Conf. Ser. 215, 012034 (2010)
Sakata, M., Nakamoto, Y., Shimizu, K., Matsuoka, T., Ohishi, Y.: Phys. Rev. B 83, 220512(R) (2011)
Ahuja, R., Eriksson, O., Wills, J.M., Johansson, B.: Phys. Rev. Lett. 75, 3473–3476 (1995)
Zhang, J.L., Zhang, S.J., Weng, H.M., Zhang, W., Yang, L.X., Liu, Q.Q., Feng, S.M., Wang, X.C., Yu, R.C., Cao, L.Z., Wang, L., Yang, W.G., Liu, H.Z., Zhao, W.Y., Zhang, S.C., Dai, X., Fang, Z., Jin, C. Q.: Proc. Natl. Acad. Stand. 180, 24–28 (2014)
Zhou, O., Palstra, T.T.M., Iwasa, Y., Fleming, R.M., Hebard, A.F., Sulewski, P.E., Murphy, D.W., Zegarski, B.R.: Phys. Rev. B 52, 483–489 (1995)
McMahan, A.K.: Phys. Rev. B 29, 5982–5985 (1984)
Schilling, J.S.: High Press. Res. 26, 145–163 (2006)
Boettger, J.C., Trickey, S.B.: Phys. Rev. B 32, 3391 (1985)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Larsson, S. Effect of Pressure on Superconducting Properties. J Supercond Nov Magn 28, 1693–1698 (2015). https://doi.org/10.1007/s10948-015-2959-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-015-2959-z