The Numerical Solution of the Imaginary-Axis Eliashberg Equations

• Authors: R Szczęśniak
• Languages of publication: EN

Abstracts

EN

In the paper, we solve the imaginary-axis Eliashberg equations. We calculate numerically self-consistently the superconducting order function, the wave function renormalization factor, and the energy shift function as a function of the Matsubara frequency. We consider different values of the average number of the electrons per lattice site. Additionally, we study the temperature dependence of the order function and the wave function renormalization factor. The possible extension of the Eliashberg theory to the case of the high-T_C superconductors was also briefly discussed.

Keywords

EN

61.72.Vv; 72.30.+q; 82.70.Dd

Discipline

• 82.70.Dd: Colloids
• 72.30.+q: High-frequency effects; plasma effects

• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 109
• Issue: 2
• Pages: 179-186

Dates

published

2006-02

received

2005-08-17

(unknown)

2006-01-09

Contributors

author

R Szczęśniak

• Institute of Physics, Częstochowa University of Technology, al. Armii Krajowej 19, 42-200 Częstochowa, Poland

References

• 1. J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev., 106, 162, 1975; Phys. Rev., 108, 1175, 1957
• 2. E.M. Eliashberg, Zh. Eksp. Teor. Fiz., 38, 966, 1960 [Sov. Phys. JETP, 11, 696, 1960]
• 3. For discussion of the Eliashberg equations [originally formulated by G.M. Eliashberg, Sov. Phys. JETP, 11, 696, 1960] we refer to: P.B. Allen, B. Mitrović, in: Solid State Physics: Advances in Research and Applications, Vol. 37, Eds. H. Ehrenreich, F. Seitz, D. Turnbull, Academic, New York 1982, p. 1; F. Marsiglio, J.P. Carbotte, in: Electron--Phonon Superconductivity, Review for book Handbook on Superconductivity: Conventional and Unconventional Superconductors, Eds. K.H. Bennemann, J.B. Ketterson, Springer, Berlin 2003, p. 233
• 4. M. Mierzejewski, J. Zieliński, Phys. Rev. B, 56, 1, 1997
• 5. H. Fröhlich, Phys. Rev., 79, 845, 1950; H. Fröhlich, Proc. R. Soc. A, 223, 296, 1954
• 6. Y. Nambu, Phys. Rev., 117, 648, 1960
• 7. W.L. McMillan, Phys. Rev., 167, 331, 1968
• 8. V.Z. Kresin, H. Gutfreund, W.A. Little, Solid State Commun., 51, 339, 1984; V.Z. Kresin, Phys. Lett. A, 122, 434, 1987
• 9. J.G. Bednorz, K.A. Müller, Z. Phys. B, 64, 189, 1986; J.G. Bednorz, K.A. Müller, Rev. Mod. Phys., 60, 585, 1988
• 10. R. Szczęśniak, S. Grabiński, Acta Phys. Pol. A, 102, 401, 2002; R. Szczęśniak, M. Mierzejewski, J. Zieliński, P. Entel, Solid State Commun., 117, 369, 2001; R.S. Markiewicz: J. Phys. Chem. Solids, 58, 1179, 1997
• 11. J. Hubbard, Proc. R. Soc. Lond. A, 276, 238, 1963

Identifiers

DOI

10.12693/APhysPolA.109.179