Large-Order Behavior of the Perturbation Series for Superconductors nearHc2

Abstract
The perturbation series for superconductors near Hc2 are studied in the two- and three-dimensional Ginzburg-Landau model. The large-order behavior is discussed first on a theoretical basis by an instanton method of Lipatov type. The results are compared with an eleventh-order calculation in 2D and a sixth-order one in 3D and show good agreement with the theoretical prediction. The conjectures based upon an Abrikosov lattice configuration seem to be ruled out.