Bernard Helffer

Professeur
Département de Mathématiques, Université Paris-Sud 11
Laboratoire Jean Leray, Universite de Nantes

We study the infimum of the Ginzburg-Landau functional in the case with a vanishing external magnetic field in a two dimensional simply connected domain. We obtain an energy asymptotics which is valid when the Ginzburg-Landau parameter is large and  the strength of the external field is comparable with the  third critical field. Compared with the known results  when the external magnetic field does not vanish, we show in this regime a  concentration of the energy  near the zero set of the external magnetic field.