“…The resistive random access memory (RRAM), showing high storage density and high speed, can meet the requirements of the next generation memory 1 2 . Therefore, the fundamental physics in RRAM, namely the resistive switching (RS) effect, has been intensively studied 3 4 5 6 7 8 9 10 11 12 . The RS effect exists in various materials including complex oxides, such as La 0.7 Sr 0.3 MnO 3 3 , Pr 0.7 Ca 0.3 MnO 3 4 , and binary transition metal oxides, such as CuO x 5 , FeO x 6 , NiO x 7 8 , CoO x 9 10 , TiO x 11 , and HfO x 12 .…”