A cross bar array device includes first electrodes arranged adjacent to each other and extending in a first direction, the first electrodes including a main electrode layer and a scalable electrode layer. Second electrodes are arranged transversely to the first electrodes, the second electrodes including a main electrode layer and a scalable electrode layer. An electrolyte layer is disposed between the scalable electrode layers of the first electrodes and the second electrodes. A scalable electrode is formed from a scalable electrode layer and includes an undercut having a side laterally recessed from a width of a corresponding main electrode.