REVlEW ON RECENT WORKS ON VORTICES I N SUPERCONDUCTORS

R6sumd.- On passe en revue: a) les solutions num6riques de la thdorie de Gorkov pour le rdseau ide-al de vortex dans le domaine entier de champ et de tempdrature, et b) les solutions de la thdorie de Ginzburg-Landau pour le r6seau d6form6 et leurs applications 3 l'ancrage des vortex. Abstract.- We review: a) the numerical solutions of Gorkov's theory for the ideal vortex lattice in the entire field-temperature plane, and b) the distorted-lattice solutions of the Ginzburg-Landau theory and their application to flux pinning. 1. THE IDEAL VORTEX LATTICE.- Following Gorkov's extension of the microscopic BCS theory of supercon-ductivity /I / the properties of the ideal flux line lattice (FLL) initially were calculated for about 15 years only in the special cases t = T/T 2 1 (Ginzburg-Landau (GL) and Neumann-Tewordt approxi-mations) and b = BIBc2 2 1 (linearized Gorkov theo-ry). Solutions for the entire temperature-induction range have been obtained only recently using two numerical methods (I and II), which complement each other. This is visualized in figure 1 and in tableI. Fig. 1: Range of validity in the temperature-induc-tion-plane of various solution methods for Gorkov's equations Method I, developed mainly by L. Kramer and W. Pesch, uses Eilenberger's energy-integratedGreen functions of the electrons 121. This version of Gorkov's theory applies to arbitrary electron mean free path, Q. It is suitable for calculations o