M. Friesen et P. Muzikar, SUPERCONDUCTING IMPURITY TERMS IN THE GINZBURG-LANDAU EQUATIONS AND SUPERCURRENT - A MICROSCOPIC THEORY, Physical review. B, Condensed matter, 55(1), 1997, pp. 509-514
Finding the correct way to include small defects in the Ginzburg-Landa
u (GL) theory of superconductivity requires a microscopic analysis. In
the presence of a single impurity, we compute terms which must be add
ed to the GL free energy, supercurrent, and the GL differential equati
on for the order parameter. Our calculation is very general, covering
any (k) over cap-dependent order parameter Delta((k) over cap) which t
ransforms according to a one-dimensional irreducible representation of
the crystalline point group.