On-printed circuit board emulator with controllability of pinched hysteresis loop for nanoscale \(\mathrm{TiO}_2\) thin-film memristor device

Since real memristor devices are still not commercially available to most researchers, modeling a memristor is an effective method to explore its properties. In this paper, a flux-controlled memristor emulator circuit that can correctly mimic the memristive behavior of a real nanoscale \(\mathrm{TiO}_2\) thin-film memristor device is presented. The mathematical equations for the proposed emulator are explicitly derived, and the design parameters for the circuit in which the emulator works as a passive memristor with positive memductance are discussed. In addition, the proposed emulator can produce various v–i hysteretic behaviors by controlling the nonlinear polynomial cubic function between the flux and charge inside. The results from numerical simulations in PSpice and MATLAB, as well as the measured results from an implemented emulator circuit on a printed circuit board using off-the-shelf electronics components, demonstrate that a controllable emulator can actually be constructed. This study serves as a foundation for understanding and designing different emulators for nanoscale \(\mathrm{TiO}_2\) thin-film memristors at the laboratory level.