Mechanism of SuperconductivityNo Access

A "FLAT/STEEP BAND" MODEL FOR SUPERCONDUCTIVITY

S. DENG

Max-Planck-Institut für Festkörperforschung, Heisenbergstr. 1, D-70569, Stuttgart, Germany

Search for more papers by this author

A. SIMON

Max-Planck-Institut für Festkörperforschung, Heisenbergstr. 1, D-70569, Stuttgart, Germany

Search for more papers by this author

, and

J. KÖHLER

Max-Planck-Institut für Festkörperforschung, Heisenbergstr. 1, D-70569, Stuttgart, Germany

Search for more papers by this author

https://doi.org/10.1142/S0217979205027895Cited by:20 (Source: Crossref)

Abstract

Based on a viewpoint of chemical pairwise interactions between electrons, a Hamiltonian was proposed for the "flat/steep band" scenario. This model has been studied analytically, and numerically with the first-principles method. With Hg and MgB₂ as examples, we have explained the characteristics of this model and observed peak-like structures of the electron-phonon coupling constants λ(q) in q space. The strong coupling of the "flat band" electrons with phonons has been corroborated by developing a new functional Psib(Φ), through which we can quantitatively compare different electronic states in coupling to a specific phonon. The relevance of our model to an electronic inhomogeneity is also discussed. Investigations on experimental and theoretical low-energy electronic structures of superconductors support our flat/steep scenario.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

A. Simon, Angew. Chem. Int. Ed. Engl. 36, 1788 (1997), DOI: 10.1002/anie.199717881. Google Scholar
S. Deng, A. Simon and J. Köhler, Angew. Chem. Int. Ed. Engl. 37, 640 (1998). Web of Science, Google Scholar
B. K. Chakraverty and C. Schlenker, J. Phys. (Paris) Collq. 37, C4 (1976). Google Scholar
B. K. Chakraverty, J. Phys. (Paris) Lett. 40, L-9 (1979). Google Scholar
S. Lakkiset al., Phys. Rev. B 14, 1429 (1976). Web of Science, ADS, Google Scholar
B. K. Chakraverty, J. M. Sienko and J. Bonnerot, Phys. Rev. B 17, 3781 (1978). Web of Science, ADS, Google Scholar
P. W. Anderson, Mater. Res. Bull. 8, 153 (1973). Web of Science, Google Scholar
S. Robaszkiewicz, R. Micnas and J. Ranninger, Phys. Rev. B 36, 180 (1987). Web of Science, ADS, Google Scholar
J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957). Web of Science, ADS, Google Scholar
A. S. Alexandrov and J. Ranninger, Phys. Rev. B 24, 1164 (1981). Web of Science, ADS, Google Scholar
J. Ranninger and S. Robaszkiewicz, Physica B 138, 468 (1985). Google Scholar
J. Ranninger, R. Micnas and S. Robaszkiewicz, Ann. Phys. (Paris) 13, 455 (1988). Web of Science, ADS, Google Scholar
R. Micnas, J. Ranninger and S. Robaszkiewicz, Rev. Mod. Phys. 62, 113 (1990). Web of Science, ADS, Google Scholar
R. Micnas, S. Robaszkiewicz and A. Bussmann-Holder, Phys. Rev. B 66, 104516 (2002). Web of Science, Google Scholar
D. H. Lee and J. Ihm, Solid State Comm. 62, 811 (1987). Web of Science, ADS, Google Scholar
V. I. Anisimov, F. Aryasetiawan and A. I. Liechtenstein, J. Phys. C. 9, 808 (1997). Google Scholar
A. Geogeset al., Rev. Mod. Phys. 68, 13 (1996). Web of Science, ADS, Google Scholar
N. Kumar and K. P. Sinha, Phys. Rev. 174, 482 (1968). Web of Science, ADS, Google Scholar
K. L. Ngai and E. J. Johnson, Phys. Rev. Lett. 29, 1607 (1972). Web of Science, ADS, Google Scholar
K. L. Ngai, Phys. Rev. Lett. 32, 215 (1972). Web of Science, ADS, Google Scholar
N. Kumar, Phys. Rev. B 9, 4993 (1974). Web of Science, ADS, Google Scholar
A. Bussmann-Holder, A. R. Bishop and A. Simon, Z. Phys. B 90, 183 (1993). Web of Science, ADS, Google Scholar
A. Bussmann-Holder and A. R. Bishop, Z. Phys. B. 86, 183 (1992). Web of Science, ADS, Google Scholar
H. Suhl, T. Matthias and L. R. Walker, Phys. Rev. Lett. 3, 552 (1959). Web of Science, ADS, Google Scholar
B. T. Geilikman, R. O. Zaitsev and V. Z. Kresin, Sov. Phys. Solid State 9, 642 (1967). Web of Science, Google Scholar
W. H. Butler and P. B. Allen , Superconductivity in d- and f-metals , ed. D. H. Douglass ( Plenum , N. Y. , 1976 ) . Google Scholar
F. J. Pinski, P. B. Allen and W. Butler, Phys. Rev. B 23, 5080 (1981). Web of Science, ADS, Google Scholar
A. Bussmann-Holderet al., Z. Phys. B 91, 271 (1993). Web of Science, ADS, Google Scholar
A. Bussmann-Holderet al., Z. Phys. B 92, 149 (1993). Web of Science, ADS, Google Scholar
V. A. Moskalenko, Fiz. Metal. Metalloved. 8, 503 (1959). Web of Science, Google Scholar
J. Kondo, Prog. Theor. Phys. 29, 1 (1963). Web of Science, ADS, Google Scholar
V. Z. Kresin, J. Low Temp. Phys. 11, 519 (1973). Web of Science, ADS, Google Scholar
V. Z. Kresin and S. Wolf, Physica C 169, 476 (1990). Web of Science, ADS, Google Scholar
K. A. Müller and H. Keller, in Proc. NATO ASI Materials Aspects of High-Tc, Superconductivity: 10 Years after the Discovery, (Kluwer, 1997); K. A. Müller, Phil. Mag. Lett. 82, 279 (2002) . Google Scholar
B. K. Chakraverty, Phys. Rev. B 48, 4047 (1993). Web of Science, ADS, Google Scholar
S. Deng, A. Simon and J. Köhler, Solid State Science 2, 31 (2000). Web of Science, ADS, Google Scholar
D. M. Newnset al., Comments Condens. Matter Phys. 15, 273 (1992). Web of Science, Google Scholar
S. Deng, A. Simon and J. Köhler, J. Phys. Chem. Solids 62, 1441 (2001). Web of Science, ADS, Google Scholar
P. B. Allen, Phys. Rev. B 6, 2579 (1972). Web of Science, Google Scholar
S. Deng, A. Simon and J. Köhler, J. Supercond. 16, 477 (2003). Web of Science, ADS, Google Scholar
S. Deng, A. Simon and J. Köhler, J. Am. Chem. Soc. 124, 10712 (2002). Web of Science, Google Scholar
S. Denget al., J. Supercond. 16, 919 (2003). Web of Science, ADS, Google Scholar
X. J. Zhouet al., Nature 423, 398 (2003). Web of Science, ADS, Google Scholar