A Model for the Set Statistics of RRAM Inspired in the Percolation Model of Oxide Breakdown

The set voltage distribution of Pt/HfO
₂
/Pt resistive switching memory is shown to fit well a Weibull model with Weibull slope and scale factor increasing logarithmically with the resistance measured at the set point. Gaining inspiration from the percolation model of oxide breakdown, a physics-based model for the V
_set
statistics is proposed. The results of the model are completely consistent with the experimental results and demonstrate the need of a strong reset to get large Weibull slope that provides some relief to the strong requirements imposed by the set speed-read disturb dilemma.