A self-supporting composite layer or composite layer that is placed on a substrate with electrochemical properties, comprising at least two layers acting as an electrode and one layer acting as an electrolyte, wherein the layer acting as an electrolyte comprises a heterogeneous mixture of
- (A) 0-70% by weight of a matrix containing at least one organic polymer and
- (B) 30-100% by weight of a material selected from the group consisting of an inorganic solid body electrolyte and an inorganic ionic intermediate conductor, that is not soluble in said matrix and that is in the form of a solid substance, characterized in that said material is at least partially a nanocrystalline powder.