Spatio-temporal Dynamics of Non-equilibrium Phase Separation in Resistive Switching

We study numerically, the spatio-temporal dynamics of the insulator and metal phases during Mott transition using a novel non-equilibrium free energy technique, developed in an earlier study^[1] , and combining it with the resistor network approach to explore electric field driven resistive switching (RS) in a 2D sample. Free-energy approach helps us simulate a Mott Transition on microscopic level without having to specify the exact mechanism behind the switch to be thermal or electronic. Our objective is to characterize the dynamics of the system in its coexistence phase by studying the fluctuations near the critical point. Our study highlights that non-equilibrium dynamics of conducting filament and the internal electric field have a direct free-energy interpretation. We characterize the temporal fluctuations of the resistance using the power spectrum density. Resistance fluctuation of the system has a ∼1/f ² behavior near the critical point.
[1] Han,J. E., Li, J., Aron,C. ,& Kotliar, G. (2018). Physical Review B, 98(3), 035145.