Theory of relativistic effects in superconductors

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

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


We develop a relativistic generalization of the Bogoliubov-de Gennes equations where the particle and hole amplitudes are Dirac spinors. In the weakly relativistic limit, we find, besides the usual spin-orbit, Darwin and kinetic energy corrections, additional 'spin-orbit' and 'Darwin' terms. These new terms are present in superconductors only and involve the pairing field in place of the electrostatic potential. They become relevant for superconductors such as the heavy-fermions and high-Tc compounds, which are characterized by a short coherence length and heavy elements in the lattice.

Original languageAmerican English
Pages (from-to)508-510
Number of pages3
JournalPhysica C: Superconductivity and its Applications
StatePublished - May 1999
Externally publishedYes
EventProceedings of the 1998 1st Euroconference on Anomalous Complex Superconductors - Crete, Greece
Duration: 26 Sep 19983 Oct 1998

Bibliographical note

Funding Information:
Many helpful discussions with M. Lüders and B.L. Gyorffy are gratefully acknowledged. This work has benefitted from the program `Relativistic effects in heavy-element chemistry and physics' of the European Science Foundation. Partial financial support by the Deutsche Forschungsgemeinschaft is gratefully acknowledged. M.M. would like to thank the portuguese MCT for financial support (PRAXIS XXI BD/9044/96).


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