A high density non-volatile memory device is provided that uses one or more volatile elements. In some embodiments, the non-volatile memory device can include a resistive two-terminal selector that can be in a low resistive state or a high resistive state depending on the voltage being applied. A deep trench MOS (“metal-oxide-semiconductor”) transistor having a floating gate with small area relative to conventional devices can be provided, in addition to a capacitor or transistor acting as a capacitor. A first terminal of the capacitor can be connected to a voltage source, and the second terminal of the capacitor can be connected to the selector device. The small area floating gate of the deep trench transistor can be connected to the other side of the selector device, and a second transistor can be connected in series with the deep trench transistor.