Generalized Ginzburg-Landau equation and the properties of superconductorswith Ginzburg-Landau parameter kappa close to 1

An expression is derived for the free energy of a superconductor near the c ritical temperature, taking account of the terms of next highest order in t he parameter 1 - T/T-c. These terms become important for Ginzburg-Landau pa rameter values \ kappa - 1\ much less than 1, and in this case, in an exter nal magnetic field H-0 close to H-c2, the structure of the order parameter is determined by the relative values of the three small parameters \ kappa - 1\, 1 - T/T-c, and (H-c2 - H-0)/H-c2. Three types of lattices are investi gated: triangular with one and two flux quanta per cell and square with one flux quantum per cell. (C) 1999 American Institute of Physics. [S1063-7761 (99)02402-6].