A layer system includes at least three layers, the three layers including a top electrode layer, a bottom electrode layer, and an electrolyte layer situated between the top electrode layer and the bottom electrode layer. The electrolyte layer has a solid-state electrolyte, and at least one of the top and bottom electrode layers includes a paste-like composite layer. A layer system of this type may be used to manufacture in particular energy stores, such as rechargeable lithium-ion accumulators, having an enhanced capacity. Moreover, a method for producing a layer system or an energy store is described.