A Study on Conducting Filament Formation in Varying 3D Memristive Thin Film Using a Phase-Field Model

Experimental data suggests that multiple conductive filament (CF) formation in oxide-based memristive thin films depends on the film's geometry. We used a computational phase-field model, without a priori model constraints, and studied the effects of the variation of geometry and dimensions in a three-dimensional sample on the formation of multiple conducting filaments and how they evolve within a sample. In this paper, we show the propensity of multiple CF to form within a variation of lateral and axial dimensions as well as different depths.