A method of suppressing propagation of leakage current in an array of switching devices. The method includes providing a dielectric breakdown element integrally and serially connected to a switching element within each of the switching device. A read voltage (for example) is applied to a selected cell. The propagation of leakage current is suppressed by each of the dielectric breakdown element in unselected cells in the array. The read voltage is sufficient to cause breakdown in the selected cells but insufficient to cause breakdown in the serially connected, unselected cells in a specific embodiment. Methods to fabricate of such devices and to program, to erase and to read the device are provided.