Abstract
Some background regarding the evolution of calculations, predictions, and approaches to understand and increase T c for phonon-mediated superconductivity is presented. This is followed by a description of a successful “after the fact” theoretical study of MgB2 and a description of current thinking about the relationship between phonon renormalization and T c. It is then argued that in the search for high T cs the evolution has gone from searching for high density of states materials to high electron–phonon couplings described by λ. Finally, it is suggested that the focus on finding large λ can be supplemented by a search for large electronic spring constants η. This is expected to be particularly relevant for the highest T c materials in this class of superconductors.
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1 V. L. Ginzburg and E. A. Andryushin, Superconductivity, Revised edn. (World Scientific, Singapore, 2004).
2 V. L. Ginzburg and L. D. Landau, Zh. Eksperim. i Teor. Fiz. 20, 1064 (1950).
3 V. L. Ginzburg, Sov. Phys. Usp. 19, 174 (1976).
4 M. L. Cohen, D. R. Penn, and T. W. Barbee III, Solid State Commun. 75, 971 (1990).
5 J. G. Bednorz and K. A. Müller, Phys. B 64, 189 (1986).
6 A. F. Hebard, M. J. Rosseinsky, R. C. Haddon, D. W. Murphy, S. H. Glarum, T. T. M. Palstra, A. P. Ramirez, and A. R. Kortan, Nature 350, 600 (1991).
7 J. F. Schooley, W. R. Hossler, and M. L. Cohen, Phys. Rev. Lett. 12, 474 (1964).
8 J. Nagamatsu, N. Nakagawa, T. Muranaka, Y. Zenitani, and J. Akimitsu, Nature 430, 63 (2001).
9 M. L. Cohen, Physica Scripta T1, 5 (1982).
10 K. J. Chang, M. M. Dacorogna, M. L. Cohen, J. M. Mignot, G. Chouteau, and G. Martinez, Phys. Rev. Lett. 54, 2375 (1985).
11 G. M. Eliashberg, Sov. Phys. JETP 11, 696 (1960).
12 W. L. McMillan, Phys. Rev. 167, 331 (1968).
13 P. B. Allen and R. C. Dynes, Phys. Rev. B 12, 905 (1975).
14 V. Z. Kresin, Bull. Math. Phys. Soc. 32, 796 (1987).
15 L. C. Bourne, A. Zettl, T. W. Barbee, III, and M. L. Cohen, Phys. Rev. B 36, 3990 (1987).
16 M. L. Cohen and V. H. Crespi, in Buckminsterfullerenes, W. E. Billups and M. A. Ciufolini, eds. (VCH Publishers, New York, 1993), p. 197.
17 K. Umemoto and S. Saito, Phys. Rev. B 61, 14204 (2000).
18 S. Hammel, V. Timoshevskii, and M. Cote, Phys. Rev. Lett. 95, 146403 (2005).
19 L. X. Benedict, V. H. Crespi, S. G. Louie, and M. L. Cohen, Phys. Rev. B 52, 14935 (1995).
20 M. Côté, J. C. Grossman, M. L. Cohen, and S. G. Louie, Phys. Rev. Lett. 81, 697 (1998).
21 Z. K. Tang, et al., Science 292, 2462 (2001).
22 M. L. Cohen and P. W. Anderson, in Superconductivity in d- and f-Band Metals, D. H. Douglass, ed. (AIP, New York, 1972), p. 17.
23 J. M. An and W. E. Pickett, Phys. Rev. Lett. 86, 4366 (2001).
24 A. Liu, I. I. Mazin, and J. Kortus, Phys. Rev. Lett. 87, 087005 (2002).
25 H. J. Choi, D. Roundy, H. Sun, M. L. Cohen, and S. G. Louie, Phys. Rev. B 66, 020513 (2002); Nature 418, 758 (2002).
26 H. G. Smith and W. Glaser, Phys. Rev. Lett. 25, 1611 (1970).
27 L. Pinstchovius, et al., Phys. Rev. Lett. 54, 1260 (1985).
28 L. Pinstchovius, et al., Phys. Rev. B 28, 5866 (1983).
29 L. Pinstchovius, et al., Phys. Stat. Sol. (B) 242, 30 (2005).
30 P. B. Allen and M. L. Cohen, Phys. Rev. B 29, 1593 (1972).
31 P. H. Zhang, S. G. Louie, and M. L. Cohen, Phys. Rev. Lett. 94, 225502 (2005).
32 J. J. Hopfield, Phys. Rev. B 186, 443 (1969).
J. E. Moussa and M. L. Cohen, Phys. Rev. B 74, 094520 (2006).
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Cohen, M.L. Electron–Phonon-Induced Superconductivity. J Supercond 19, 283–290 (2006). https://doi.org/10.1007/s10948-006-0163-x
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DOI: https://doi.org/10.1007/s10948-006-0163-x