Boundary conditions in the Ginzburg Landau Formulation in heavy fermions superconductors

Abstract

The linearized gap equation is the basis for the microscopic derivation of the second order terms in the Ginzburg-Landau free energy expansion. However, close to the boundary these second order terms do not have the same form, since the kernel is changed due to quasi-particle scattering. In addition, these boundary corrections in their most general form to the Ginzburg-Landau functional, a group theoretical method is used. The boundary lowers locally the spatial symmetry of the system.