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Magnetic properties of superconductors with strong spin-orbit coupling

K. V. Samokhin
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Abstract

We study the response of a superconductor with a strong spin-orbit coupling on an external magnetic field. The Ginzburg-Landau free energy functional is derived microscopically for a general crystal structure, both with and without an inversion center, and for an arbitrary symmetry of the superconducting order parameter. As a by-product, we obtain the general expressions for the intrinsic magnetic moment of the Cooper pairs. It is shown that the Ginzburg-Landau gradient energy in a superconductor lacking inversion symmetry has unusual structure. The general formalism is illustrated using as an example CePt$_3$Si, which is the first known heavy-fermion superconductor without an inversion center.

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K. V. Samokhin. 2004-10-06. Magnetic properties of superconductors with strong spin-orbit coupling. https://doi.org/10.1103/physrevb.70.104521

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