A non-volatile storage apparatus is proposed that includes a plurality of serially connected non-volatile reversible resistance-switching memory cells, a plurality of word lines such that each of the memory cells is connected to a different word line, a bit line connected to a first end of the serially connected memory cells and a switch connected to a second end of the serially connected memory cells. In one embodiment, the memory cells include a reversible resistance-switching structure comprising a first material, a second material and a reversible resistance-switching interface between the first material and the second material, a channel, and means for switching current between current flowing through the channel and current flowing through the reversible resistance-switching interface in order to program and read the reversible resistance-switching interface. A process for manufacturing the memory is also disclosed.