A non-volatile storage element and a method of forming the storage element. The non-volatile storage element comprises: a first electrode including a first material having a first work function; a second electrode including a second material having a second work function higher than the first work function; a first dielectric disposed between the first electrode and the second electrode, the first dielectric having a first bandgap; a second dielectric disposed between the first dielectric and the second electrode, the second dielectric having a second bandgap wider than the first bandgap and being disposed such that a quantum well is created in the first dielectric; and a third dielectric disposed between the first electrode and the first dielectric, the third dielectric being thinner than the second dielectric and having a third bandgap wider than the first bandgap.