Relativistic theory of superconductivity

K. Capelle*, E. K.U. Gross

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


A relativistic generalization of the Bogolubov-de Gennes equations is derived where the particle and hole amplitudes are Dirac spinors. In the weakly relativistic limit one obtains, besides the usual spin-orbit, Darwin and kinetic energy corrections, a new "spin-orbit" and a new "Darwin" term involving the pair potential in place of the electrostatic potential. The results indicate the significance of the relativistic corrections for superconductors with a high Fermi velocity, a small coherence length or heavy elements in the lattice.

Original languageAmerican English
Pages (from-to)261-266
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3
StatePublished - 27 Feb 1995
Externally publishedYes

Bibliographical note

Funding Information:
We thank M. Weger for a discussion which stimulated our interest in this project and B.L. Gyorffy and A.K. Rajagopal for very useful comments. Many valuable discussions with M. LiJders and M. Petersilka are gratefully acknowledged. This work was supported in part by the Deutsche Forschungsgemeinschaft. One of us (E.K.U.G.) gratefully acknowledges the hospitality of Professor John Dobson and his group at Griffith University where part of this work was done under a DEET/ARC International Research Fellowship.


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