A nonstationary model of mass transfer of oxygen vacancies and trapped electrons for determination of temperature influence on properties of a metal oxide memristor

About the authors:

Alexander N. Busygin, Cand. Sci. (Phys.-Math.), Associate Professor, Department of Applied and Technical Physics, School of Natural Sciences, University of Tyumen, Tyumen, Russia; Senior Researcher, Memristive Materials Laboratory, Center for Nature-Inspired Engineering, University of Tyumen, Tyumen, Russia; a.n.busygin@utmn.ru, https://orcid.org/0000-0002-3439-8067

Baurzhan H. Gabdulin, Postgraduate Student, Department of Applied and Technical Physics, School of Natural Sciences, University of Tyumen, Tyumen, Russia; Junior Researcher, Memristive Materials Laboratory, Center for Nature-Inspired Engineering, University of Tyumen, Tyumen, Russia; baurzhan.gabdulin@gmail.com, https://orcid.org/0009-0000-2586-7469

Sergey Yu. Udovichenko, Dr. Sci. (Phys.-Math.), Professor, Department of Applied and Tech­nical Physics, School of Natural Sciences, University of Tyumen, Tyumen, Russia; Scientific Director of the Memristive Materials Laboratory, Center for Nature-Inspired Engineering, University of Tyumen, Tyumen, Russia; udotgu@mail.ru, https://orcid.org/0000-0003-3583-7081

Nikita A. Shulaev, Postgraduate Student, Department of Applied and Technical Physics, School of Natural Sciences, University of Tyumen, Tyumen, Russia; Junior Researcher, Memristive Materials Laboratory, Center for Nature-Inspired Engineering, University of Tyumen, Tyumen, Russia; a.a.shulaev@utmn.ru, https://orcid.org/0009-0007-9673-0137

Alexander D. Pisarev, Cand. Sci. (Tech.), Associate Professor, Department of Applied and Technical Physics, School of Natural Sciences, University of Tyumen, Tyumen, Russia; Senior Researcher, Memristive Materials Laboratory, Center for Nature-Inspired Engineering, University of Tyumen, Tyumen, Russia; spcb.doc@utmn.ru, https://orcid.org/0000-0002-5602-3880

Abdulla H. Ebrahim, Cand. Sci. (Phys.-Math.), Junior Researcher, Memristive Materials Laboratory, Center for Nature-Inspired Engineering, University of Tyumen, Tyumen, Russia; abdulla.ybragim@mail.ru, https://orcid.org/0000-0002-1709-9882

Abstract:

A non-stationary one-dimensional physico-mathematical model of the mass transfer of oxygen vacancies and trapped electrons under a constant electric field is presented. The model provides a more accurate determination of the temperature effect on the electrophysical properties of a metal oxide memristor in comparison with the stationary model. Unlike the known models, the new one includes non-stationary continuity equations for the concentrations and current density of trapped electrons. The developed model correctly considers transient processes that occur under the conditions of measuring the current-voltage characteristic of the memristor at different voltage sweep rates. The obtained profiles of vacancy concentrations using the developed non-stationary and known stationary models are quantitatively different and have a strong dependence on the temperature of the active layer of the memristor. Significant differences in the distribution of vacancy concentrations across the film thickness are observed at a film temperature of 600 K. The results show that the non-stationary model more accurately reproduces the extoperimental current-voltage characteristic of the manufactured memristor, allowing to estimate the switching time to a stable state and to analyze the process of resistive switching of the memristor at different voltage sweep rates. The developed model is helpful in numerical simulation of signal processing routines in large memristor arrays used in neuromorphic devices.

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