Abstract
This chapter discusses the main properties of the memristor, a comparison between five recent memristor models, mathematical modeling of the HP memristor with analytical expressions for different excitations, mathematical representations of time-invariant memristor (ideal, generic, and extended), different memristor implementation types, and some memristor-based applications in digital and analog circuits.
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References
Widrow, B., et al.: Adaptive “ADALINE” Neuron Using Chemical “Memistors” (1960)
Kim, H., Adhikari, S.P.: IEEE Circuits Syst. Mag. 12(1), 75 (2012)
Fano, R.M., Chu, L.J., Adler, R.B.: Electromagnetic Fields, Energy, and Forces. MIT Press, Cambridge (1968)
Chua, L.: IEEE Trans. Circuit Theory 18(5), 507 (1971)
Chua, L., Kang, S.: Proc. IEEE 64(2), 209 (1976)
Strukov, D., Snider, G., Stewart, D., Williams, R.: Nature 453(7191), 80 (2008)
Williams, R.: IEEE Spect. 45(12), 28 (2008)
Williams, R.S.: Memristors and Memristive Systems, pp. 3–16. Springer, New York (2014)
Adhikari, S., Sah, M., Kim, H., Chua, L.: IEEE Trans. Circuits Syst. I: Regul. Pap. 60(11), 3008 (2013). doi:10.1109/TCSI.2013.2256171
Biolek, D., Biolek, Z., Biolkova, V., Kolka, Z.: In: 2013 IEEE International Symposium on Circuits and Systems (ISCAS), pp. 201–204 (2013). doi:10.1109/ISCAS.2013.6571817
Chua, L.: Appl. Phys. A 102(4), 765 (2011)
Lehtonen, E., Laiho, M.: In: 2010 12th International Workshop on Cellular Nanoscale Networks and Their Applications (CNNA), pp. 1–4. IEEE (2010)
Yang, J.J., Pickett, M.D., Li, X., Ohlberg, D.A., Stewart, D.R., Williams, R.S.: Nat. Nanotechnol. 3(7), 429 (2008)
Pickett, M.D., Strukov, D.B., Borghetti, J.L., Yang, J.J., Snider, G.S., Stewart, D.R., Williams, R.S.: J. Appl. Phys. 106(7), 074508 (2009)
Simmons, J.G.: J. Appl. Phys. 34(6), 1793 (1963)
Abdalla, H., Pickett, M.D.: 2011 IEEE International Symposium on in Circuits and Systems (ISCAS), pp. 1832–1835. IEEE (2011)
Kvatinsky, S., Friedman, E, Kolodny, A., Weiser, U.: IEEE Trans. Circuits Syst. I: Regul. Pap. 60(1), 211 (2013). doi:10.1109/TCSI.2012.2215714
Strukov, D., Snider, G., Stewart, D., Williams, R.: Nature 459, 1154 (2009)
Joglekar, Y., Wolf, S.: Eur. J. Phys. 30(4), 661 (2009)
Radwan, A., Zidan, M.A., Salama, K.: In: 2010 International Conference on Microelectronics (ICM), pp. 284–287. IEEE (2010)
Biolek, D., Biolek, Z., Biolkova, V.: In: European Conference on Circuit Theory and Design ECCTD 2009, pp. 249–252. IEEE (2009)
Corinto, F., Ascoli, A.: IEEE Trans. Circuits Syst. I: Regul. Pap. 59(11), 2713 (2012)
Prodromakis, T., Peh, B.P., Papavassiliou, C., Toumazou, C.: IEEE Trans. Electron Devices 58(9), 3099 (2011)
Yu, J., Mu, X., Xi, X., Wang, S.: Radioengineering 22(4), 969 (2013)
Radwan, A., Zidan, M.A., Salama, K.: In: 2010 53rd IEEE International Midwest Symposium on Circuits and Systems (MWSCAS), pp. 861–864. IEEE (2010)
Di Ventra, M., Pershin, Y., Chua, L.: Proc. IEEE 97(10), 1717 (2009)
Chua, L.: Semicond. Sci. Technol. 29, 1 (2014)
Argall, F.: Solid-State Electron. 11(5), 535 (1968)
Beck, A., Bednorz, J., Gerber, C., Rossel, C., Widmer, D.: Appl. Phys. Lett. 77(1), 139 (2000)
Genrikh, S., Cho, C.R., Yoo, I.K., Lee, E.H., Cho, S.I., Moon, C.W. et al.: Electrode structure having at least two oxide layers and non-volatile memory device having the same. US Patent 7,417,271 (2008)
Willaims, R., et al.: Electrically actuated switch. WO Patent 2,008,108,822 (2008)
Kriegerand, J., Spitzer, S.M.: In: Non-Volatile Memory Technology Symposium, pp. 121–124. IEEE (2004)
Erokhin, V., Fontana, M.P.: (2008) arXiv preprint arXiv:0807.0333
Berzina, T., Smerieri, A., Bernabò, M., Pucci, A., Ruggeri, G., Erokhin, V., Fontana, M.: J. Appl. Phys. 105(12), 124515 (2009)
Moll, J., Tarui, Y.: IEEE Trans. Electron Devices. 10(5), 338 (1963)
Chanthbouala, A., Garcia, V., Cherifi, R.O., Bouzehouane, K., Fusil, S., Moya, X., Xavier, S., Yamada, H., Deranlot, C., Mathur, N.D., et al.: Nat. Mater. 11(10), 860 (2012)
Buot, F., Rajagopal, A.: J. Appl. Phys. 76(9), 5552 (1994)
Yilmaz, Y., Mazumder, P.: In: 2012 12th IEEE Conference on Nanotechnology (IEEE-NANO), pp. 1–4. IEEE (2012)
Jeong, H.Y., Kim, J.Y., Kim, J.W., Hwang, J.O., Kim, J.E., Lee, J.Y., Yoon, T.H., Cho, B.J., Kim, S.O., Ruoff, R.S., et al.: Nano Lett. 10(11), 4381 (2010)
Yang, J., Miao, F., Wu, W., Wang, S.Y., Williams, R.S.: Defective graphene-based memristor. US Patent 8,203,171 (2012)
Mehonic, A., Cueff, S., Wojdak, M., Hudziak, S., Jambois, O., Labbé, C., Garrido, B., Rizk, R., Kenyon, A.J.: J. Appl. Phys. 111(7), 074507 (2012)
Wang, X., Chen, Y., Xi, H., Li, H., Dimitrov, D.: IEEE Electron Device Lett. 30(3), 294 (2009)
Chanthbouala, A., Matsumoto, R., Grollier, J., Cros, V., Anane, A., Fert, A., Khvalkovskiy, A., Zvezdin, K., Nishimura, K., Nagamine, Y., et al.: Nat. Phys. 7(8), 626 (2011)
Pershin, Y.V., Di Ventra, M.: Phys. Rev. B 77(7), 073301 (2008)
Talukdar, A., Radwan, A., Salama, K.: Microelectron. J. 43(3), 169 (2012). http://dx.doi.org/10.1016/j.mejo.2011.12.012. http://www.sciencedirect.com/science/article/pii/S002626921100262X
Talukdar, A., Radwan, A., Salama, K.: Microelectron. J. 42(9), 1032 (2011). http://dx.doi.org/10.1016/j.mejo.2011.07.001. http://www.sciencedirect.com/science/article/pii/S0026269211001431
Talukdar, A., Radwan, A., Salama, K.: In: 2010 International Conference on Microelectronics (ICM), pp. 288–291. IEEE (2010)
ElSamman, A., Radwan, A., Madian, A.: In: 2013 International Conference on Communications, Signal Processing and Their Applications (ICCSPA13). IEEE (2013)
Talukdar, A., Radwan, A., Salama, K.: Appl. Nanosci. 143–145 (2011)
ElSamman, A., Radwan, A., Madian, A.: 2014 International Conference on in Microelectronics (ICM). IEEE (2014)
Shin, S., Kim, K., Kang, S.: International Conference on Communications, Circuits and Systems ICCCAS 2009, pp. 948–951. IEEE (2009)
Shin, S., Kim, K., Kang, S.: IEEE Trans. Nanotechnol. 10(2), 266 (2011)
Pershin, Y., Di Ventra, M.: IEEE Trans. Circuits Syst. I: Regul. Pap. 57(8), 1857 (2010)
Wey, T.A., Jemison, W.D.: IET Circuits, Devices Syst. 5(1), 59 (2011)
Wey, T., Jemison, W.: Analog Integr. Circuits Signal Process. 73(3), 663 (2012)
Berdan, R., Prodromakis, T., Salaoru, I., Khiat, A., Toumazou, C.: Appl. Phys. Lett. 101(24), 243502 (2012)
Driscoll, T., Quinn, J., Klein, S., Kim, H.T., Kim, B., Pershin, Y.V., Di Ventra, M., Basov, D.: Appl. Phys. Lett. 97(9), 093502 (2010)
Kozma, R., Pino, R.E., Pazienza, G.E.: Advances in Neuromorphic Memristor Science and Applications, vol. 4. Springer, New York (2012)
Chew, Z., Li, L.: Electron. Lett. 48(25), 1610 (2012)
Zhao, Y.B., Tse, C.K., Feng, J.C., Guo, Y.C.: Syst. Signal Process. Circuits 32(3), 1013 (2013)
Ananthanarayanan, R., Esser, S.K., Simon, H.D., Modha, D.S.: In: Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, pp. 1–12. IEEE (2009)
Indiveri, G., Chicca, E., Douglas, R.: IEEE Trans. Neural Netw. 17(1), 211 (2006)
Izhikevich, E.M., Edelman, G.M.: Proc. Nat. Acad. Sci. 105(9), 3593 (2008)
Pershin, Y.V., La Fontaine, S., Di Ventra, M.: Phys. Rev. E 80(2), 021926 (2009)
Jo, S.H., Chang, T., Ebong, I., Bhadviya, B.B., Mazumder, P., Lu, W.: Nano Lett. 10(4), 1297 (2010)
Pershin, Y.V., Di Ventra, M.: Neural Netw. 23(7), 881 (2010)
Pérez-Carrasco, J.A., Zamarreño-Ramos, C., Serrano-Gotarredona, T., Linares-Barranco, B.: In: Proceedings of 2010 IEEE International Symposium on Circuits and Systems (ISCAS), pp. 1659–1662. IEEE (2010)
Snider, G.S.: In: IEEE International Symposium on Nanoscale Architectures, NANOARCH, 2008. pp. 85–92. IEEE (2008)
Zomaya, A.Y.: Handbook of Nature-Inspired and Innovative Computing: Integrating Classical Models with Emerging Technologies. Springer, New York (2006)
Itoh, M., Chua, L.O.: Int. J. Bifurc. Chaos 18(11), 3183 (2008)
Muthuswamy, B., Chua, L.O.: Int. J. Bifurc. Chaos 20(05), 1567 (2010)
Muthuswamy, B.: Int. J. Bifurc. Chaos 20(05), 1335 (2010)
Muthuswamy, B., Przybylski, A., Feilbach, C., Mossbrucker, J.: Chaos and Complex Systems, pp. 1–10. Springer (2013)
Bo-Cheng, B., Zhong, L., Jian-Ping, X.: Chin. Phys. B 19(3), 030510 (2010)
Bao, B., Liu, Z., Xu, J.: Electron. Lett. 46(3), 228 (2010)
Messias, M., Nespoli, C., Botta, V.A.: Int. J. Bifurc. Chaos 20(02), 437 (2010)
Kyprianidis, I., Volos, C.K., Stouboulos, I.: In: 7th International Conference of the Balkan Physical Union Organized by the Hellenic Physical Society with the Cooperation of the Physics Departments of Greek Universities, vol. 1203, pp. 626–631. AIP Publishing (2010)
Buscarino, A., Fortuna, L., Frasca, M., Gambuzza, L.V.: Chaos: Interdiscip. J. Nonlinear Sci. 22(2), 023136 (2012)
Petráš, I.: IEEE Trans. Circuits Syst. II: Express Br. 57(12), 975 (2010)
Cafagna, D., Grassi, G.: Nonlinear Dyn. 70(2), 1185 (2012)
Wang, X., Li, C., Huang, T., Duan, S.: Chaos: Interdiscip. J. Nonlinear Sci. 22(4), 043119 (2012)
Sun, J., Shen, Y., Yin, Q., Xu, C.: Chaos: Interdisc. J. Nonlinear Sci. 23(1), 013140 (2013)
Ngouonkadi, E.M., Fotsin, H., Fotso, P.L.: Physica Scripta 89(3), 035201 (2014)
Zhi-Jun, L., Yi-Cheng, Z.: Chin. Phys. B 22(4), 040502 (2013)
Chen, A., Haddad, S., Wu, Y.C., Fang, T.N., Lan, Z., Avanzino, S., Pangrle, S., Buynoski, M., Rathor, M., Cai, W., et al.: In: IEEE International Electron Devices Meeting. IEDM Technical Digest, pp. 746–749. IEEE (2005)
Waser, R., Aono, M.: Nat. Mater. 6(11), 833 (2007)
Jafar, M., Haneman, D.: Phys. Rev. B 49(19), 13611 (1994)
Chen, X., Wu, G., Bao, D.: Appl. Phys. Lett. 93(9), 093501 (2008)
Ho, Y., Huang, G.M., Li, P.: In: IEEE/ACM International Conference on Computer-Aided Design-Digest of Technical Papers, ICCAD 2009, pp. 485–490. IEEE (2009)
Robinett, W., Pickett, M., Borghetti, J., Xia, Q., Snider, G.S., Medeiros-Ribeiro, G., Williams, R.S.: Nanotechnology 21(23), 235203 (2010)
Ho, Y., Huang, G., Li, P.: IEEE Trans. Circuits Syst. I: Regul. Pap. 58(4), 724 (2011)
Chiu, P.F., Chang, M.F., Wu, C.W., Chuang, C.H., Sheu, S.S., Chen, Y.S., Tsai, M.J.: IEEE J. Solid-State Circuits 47(6), 1483 (2012)
Nandha Kumar, T., Almurib, H., Lombardi, F.: In: 2013 13th IEEE Conference on Nanotechnology (IEEE-NANO), 1, 71–76 (2013). doi:10.1109/NANO.2013.6720802
Borghetti, J., Snider, G.S., Kuekes, P.J., Yang, J.J., Stewart, D.R., Williams, R.S.: Nature 464(7290), 873 (2010)
Kang, S.M.S., Shin, S.: Memristors and Memristive Systems, pp. 301–325 Springer (2014)
Bickerstaff, K., Swartzlander, E.: In: 2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers (ASILOMAR), pp. 1173–1177. IEEE (2010)
Shaltoot, A., Madian, A.: In: 2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS), pp. 298–301. IEEE (2012)
Swartzlander, Jr. E.E. et al.: Memristor Networks, pp. 473–486. Springer (2014)
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Radwan, A.G., Fouda, M.E. (2015). Memristor: Models, Types, and Applications. In: On the Mathematical Modeling of Memristor, Memcapacitor, and Meminductor. Studies in Systems, Decision and Control, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-17491-4_2
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