Abstract
Immediately noting the correctness of Schrieffer’s variational wave function, Bardeen, with his deep knowledge of the phenomenon (Cooper LN, Feldman D (eds) BCS: 50 years. World Scientific, Hackensack, 2011), teamed up with Cooper and Schrieffer to construct a microscopic theory of superconductivity. The BCS theory was thereby developed quite rapidly to bring remarkable agreement between theory and various experiments on single-element superconductors. This is because in these superconductors the relevant attraction in Cooper-pair condensation is weak, making the mean-field description appropriate. In this chapter, we derive the main thermodynamic results of the BCS theory for homogeneous s-wave superconductors based on the formalism developed in the previous chapter.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Variable E should be distinguished from eigenvalues \(E_{\mathbf{k}\tilde{\alpha }}\).
Fig. 9.3 
Superconducting heat capacity relative to normal heat capacity C n ∝ T
References
G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists (Academic, New York, 2012)
J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 108, 1175 (1957)
L.N. Cooper, D. Feldman (eds.), BCS: 50 Years (World Scientific, Hackensack, 2011)
A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, 1957)
D.E. Gray (ed.), American Institute of Physics Handbook, 3rd edn. (McGraw-Hill, New York, 1972)
L.D. Landau, in Collected Papers of L.D. Landau, ed. by D. Ter Haar (Pergamon, Oxford, 1965), p. 193; L.D. Landau, E.M. Lifshitz, Statistical Physics Part 1 (Pergamon, New York, 1980), p. 446
A.J. Leggett, F. Sols, Found. Phys. 21, 353 (1991)
G. Rickayzen, in Superconductivity, ed. R.D. Parks, chap. 3, vol. I (Marcel Dekker, New York, 1969)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer Japan
About this chapter
Cite this chapter
Kita, T. (2015). BCS Theory. In: Statistical Mechanics of Superconductivity. Graduate Texts in Physics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55405-9_9
Download citation
DOI: https://doi.org/10.1007/978-4-431-55405-9_9
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-55404-2
Online ISBN: 978-4-431-55405-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)