Perfect memristor: non-volatility, switching and negative differential resistance
Sergey E. Savel'ev, Fabio Marchesoni, Alexander M. Bratkovsky

TL;DR
This paper introduces a nanoscale memristor model based on electron tunneling and nanoparticle diffusion, demonstrating hysteresis, negative differential resistance, and non-volatile switching with noise characteristics matching experimental observations.
Contribution
It presents a simple, physically motivated model of a memristor that captures key behaviors like hysteresis, non-volatile switching, and noise spectra, advancing understanding of nanoscale resistive memory devices.
Findings
Hysteresis of resistance at finite currents
Negative differential resistance observed
Noise spectra show 1/f^2 to 1/f crossover
Abstract
We propose a simple model of a nanoswitch as a memory resistor. The resistance of the nanoswitch is determined by electron tunneling through a nanoparticle diffusing around one or more potential minima located between the electrodes in the presence of Joule's heat dissipation. In the case of a single potential minimum, we observe hysteresis of the resistance at finite applied currents and a negative differential resistance. For two (or more) minima the switching mechanism is non-volatile, meaning that the memristor can switch to a resistive state of choice and stay there. Moreover, the noise spectra of the switch exhibit crossover, in agreement with recent experimental results.
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Taxonomy
TopicsAdvanced Memory and Neural Computing · stochastic dynamics and bifurcation · Neural dynamics and brain function
