Variable-Relation Criterion for Analysis of the Memristor

To judge whether the memristor can be interpreted as the fourth fundamental circuit element, we propose a variable-relation criterion of fundamental circuit elements. According to the criterion, we investigate the nature of three fundamental circuit elements and the memristor. From the perspective of variables relation, the memristor builds a direct relation between the voltage across it and the current through it, instead of a direct relation between the magnetic flux and the charge. Thus, it is better to characterize the memristor and the resistor as two special cases of the same fundamental circuit element, which is the memristive system in Chua-s new framework. Finally, the definition of memristor is refined according to the difference between the magnetic flux and the flux linkage.

Authors:

• Qingjiang Li
• Hui Xu
• Haijun Liu
• Xiaobo Tian

Keywords:

• Memristor
• Fundamental
• Variable-Relation Criterion
• Memristive system

References:

[1] L. O. Chua, "Memristor-the missing circuit elemrnt," IEEE Trans.
Circuit Theory, vol. CT-18, no.5, pp. 507-519, 1971.
[2] D. B. Strukov, G. S. Snider, D. R. Stewart, and R. S. Williams, "The
missing memristor found," Nature, vol. 453, pp. 80-83, 2008.
[3] J. J. Yang, M. D. Pickett, X. Li, D. A. A. Ohlberg, D. R. Stewart, and R. S.
Williams, "Memristive switching mechanism for metal/oxide/metal
nanodevices," Nature Nanotechnol., vol. 3, pp. 429-433, Jul. 2008.
[4] H. Mostafa, M. Anis, and M. Elmasry, "A design-oriented soft error rate
variation model accounting for both die-to-die and within-die variations
in submicrometer CMOS SRAM cells," IEEE Trans. Circuits Syst. I,
Reg. Papers, vol. 57, no. 6, pp. 1298-1311, Jun. 2010.
[5] Y. Ho, G. M. Huang, and P. Li, "Dynamical Properties and Design
Analysis for Nonvolatile Memristor Memories," IEEE Trans. Circuits
Syst. I, Reg. Papers, vol. 58, no. 4, pp. 724-734, April. 2011.
[6] B. Mouttet, "The mythology of the memristor," in ISCAS, 2010 [Online].
Available: http://www.slideshare.net/blaisemouttet/mythical-memristor
[7] M. D. Ventra, Y. V. Pershin and L. O. Chua, "Circuit Elements with
Memory: Memristors, Memcapacitors and Meminductors," Proc. IEEE,
vol.97, no. 10, pp. 1717-1724, Oct. 2009.
[8] B. Mouttet, "An introduction to Memimpedance and Memadmittance
System Analysis," 2009 [Online]. Available: http://knol.google.com/k/
an-introduction-to-memadmittance-systems-analysis#
[9] M. D. Ventra, Y. V. Pershin and L. O. Chua, "Putting Memory Into
Circuit Elements: Memristors, Memcapacitors and Meminductors," Proc.
IEEE, vol.97, no. 10, pp. 1717-1724, Oct. 2009.
[10] L. O. Chua and S. M. Kang, "Memristive devices and systems," Proc.
IEEE, vol. 64, pp. 209-223, 1976.
[11] "Memristor," Wikipedia [Online]. Available: http://en.wikipedia.org/
Wiki/Memristor