GINZBURG-LANDAU EQUATIONS FOR A D-WAVE SUPERCONDUCTOR WITH PARAMAGNETIC IMPURITIES

Ginzburg-Landau (GL) equations for a d-wave superconductor with a repu lsive s-wave interaction between electrons in the presence of paramagn etic impurities are microscopically derived based on the Born approxim ation. The diagrammatic relationships for the impurity-averaged produc t of Green's functions are algebraically established. The effect of pa ramagnetic impurities on the transition temperature and the London pen etration depth are discussed. GL equations for a superconductor with b oth s-wave and d-wave pairing interactions are also examined. We show that the transition temperature for a superconductor with an s-wave sy mmetry is suppressed twice as rapidly as that with a d-wave symmetry i n the dilute impurity limit if the strength of the spin-non-flip scatt ering is much weaker than the spin-flip interaction.