A non-volatile resistance-switching memory element includes a resistance-switching element formed from a metal oxide layer having a dopant which is provided at a relatively high concentration such as 10% or greater. Further, the dopant is a cation having a relatively large ionic radius such as 70 picometers or greater, such as Magnesium, Chromium, Calcium, Scandium or Yttrium. A cubic fluorite phase lattice may be formed in the metal oxide even at room temperature so that switching power may be reduced. The memory element may be pillar-shaped, extending between first and second electrodes and being in series with a steering element such as a diode. The metal oxide layer may be deposited at the same time as the dopant. Or, using atomic layer deposition, an oxide of a first metal can be deposited, followed by an oxide of a second metal, followed by annealing to cause intermixing, in repeated cycles.