I. Introduction
Resistive random access memory (RRAM) devices promise unique scalability, utilizing a filamentary conduction mechanism [1]–[3]. However, RTN-like read current instability observed in RRAM may effectively reduce a memory window, limiting further scaling of operational currents if the noise amplitude does not scale along with it. While previous reports were primarily focused on analyzing individual RTN signal characteristics [4]–[9], in this work we developed a quantitative approach for the description of RTN induced memory window instability. The approach allows predicting the read instability amplitude in a statistically significant number of cycles of individual RRAM cells, and in arrays of identically formed cells. Using the proposed methodology, we demonstrate that the RTN-caused read amplitude fluctuations reduce along with the operation current that removes the possible obstacle for further scaling. We propose physical mechanisms for the LRS and HRS instability explaining this experimentally observed reduction of current noise amplitudes with scaling of the operating currents