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Theory of relativistic effects in superconductors

Authors: M.A.L. Marques, K. Capelle, and E.K.U. Gross

Ref.: Physica C 317-318, 508-510 (1999)

Abstract: 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-T_c compounds, which are characterized by a short coherence lenght and heavy elements in the lattice.

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