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14 - Spin wave phase logic

from Section IV - Spin-based devices

Published online by Cambridge University Press:  05 February 2015

Alexander Khitun
Affiliation:
University of California, Riverside
Tsu-Jae King Liu
Affiliation:
University of California, Berkeley
Kelin Kuhn
Affiliation:
Cornell University, New York
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Summary

Introduction

A spin wave is a collective oscillation of spins in a spin lattice around the direction of magnetization. Similar to lattice waves (phonons) in solid systems, spin waves appear in magnetically ordered structures, and a quantum of a spin wave is called a “magnon.” Magnetic moments in a magnetic lattice are coupled via the exchange and dipole–dipole interaction. Any local change of magnetization (disturbance of magnetic order) results in the collective precession of spins propagating through the lattice as a wave of magnetization – a spin wave. The energy and impulse of the magnons are defined by the frequency and wave vector of the spin wave. Similar to phonons, magnons are bosons obeying Bose–Einstein statistics. Spin waves (magnons) as a physical phenomenon have attracted scientific interest for a long time [1, 2] and a variety of experimental techniques including inelastic neutron scattering, Brillouin scattering, X-ray scattering, and ferromagnetic resonance have been applied to the study of spin waves [3, 4]. Over the past two decades, a great deal of interest has been attracted to spin wave transport in artificial magnetic materials (e.g., composite structures, so-called “magnonic crystals” [5, 6]) and magnetic nanostructures [7–9]. New experimental techniques including time-domain optical and inductive techniques [7] have been developed to study the dynamics of spin wave propagation. In order to comprehend the typical characteristics of the propagating spin wave, we will refer to the results of the time-resolved measurement of propagating spin waves in a 100 nm thick NiFe film presented in [8]. In this experiment, a set of asymmetric coplanar strip (ACPS) transmission lines was fabricated on top of permalloy (Ni81Fe19) film. The strips and magnetic layer are separated by an insulating layer. One of the transmission lines was used to excite a spin wave packet in the ferromagnetic film, and the rest of the lines located 10 μm, 20 μm, 30 μm, 40 μm, and 50 μm away from the excitation line were used for detection of the inductive voltage. When excited by the 100 ps pulse, spin waves produce an oscillating inducting voltage, which reveals the local change of magnetization under the line caused by the spin wave propagation.

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Information
CMOS and Beyond
Logic Switches for Terascale Integrated Circuits
, pp. 359 - 378
Publisher: Cambridge University Press
Print publication year: 2015

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References

Herring, C. & Kittel, C., “On the theory of spin waves in ferromagnetic media.” Physical Review, 81, 869–880 (1951).CrossRefGoogle Scholar
Damon, R. W. & Eshbach, J. R., “Magnetostatic modes of a ferromagnet slab.” Journal of Physics and Chemistry of Solids, 19, 308–320 (1961).CrossRefGoogle Scholar
Kabos, P., Wilber, W. D., Patton, C. E., & Grunberg, P., “Brillouin light scattering study of magnon branch crossover in thin iron films.” Physical Review B, 29, 6396–6398 (1984).CrossRefGoogle Scholar
Mathieu, C. et al., “Lateral quantization of spin waves in micron size magnetic wires.” Physical Review Letters, 81, 3968–3971 (1998).CrossRefGoogle Scholar
Kostylev, M. P. et al., “Dipole-exchange propagating spin-wave modes in metallic ferromagnetic stripes.” Physics Reviews B, 76, 054422 (2007).CrossRefGoogle Scholar
Wang, Z. K. et al., “Observation of frequency band gaps in a one-dimensional nanostructured magnonic crystal.” Applied Physics Letters, 94, 083112 (2009).CrossRefGoogle Scholar
Silva, T. J., Lee, C. S., Crawford, T. M., & Rogers, C. T., “Inductive measurement of ultrafast magnetization dynamics in thin-film permalloy.” Journal of Applied Physics, 85, 7849–7862 (1999).CrossRefGoogle Scholar
Covington, M., Crawford, T. M., & Parker, G. J., “Time-resolved measurement of propagating spin waves in ferromagnetic thin films.” Physical Review Letters 89, 237202 (2002).CrossRefGoogle ScholarPubMed
Bailleul, M., Olligs, D., Fermon, C., & Demokritov, S., “Spin waves propagation and confinement in conducting films at the micrometer scale.” Europhysics Letters, 56, 741 (2001).CrossRefGoogle Scholar
Kostylev, M. P., Serga, A. A., Schneider, T., Leven, B., & Hillebrands, B., “Spin-wave logical gates.” Applied Physics Letters, 87, 153501 (2005).CrossRefGoogle Scholar
Schneider, T. et al., “Realization of spin-wave logic gates.” Applied Physics Letters, 92, 022505 (2008).CrossRefGoogle Scholar
Lee, K.-S. & Kim, S.-K., “Conceptual design of spin wave logic gates based on a Mach–Zehnder-type spin wave interferometer for universal logic functions.” Journal of Applied Physics, 104, 053909 (2008).CrossRefGoogle Scholar
Khitun, A. & Wang, K., “Nano scale computational architectures with spin wave bus.” Superlattices & Microstructures, 38, 184–200 (2005).CrossRefGoogle Scholar
Krivorotov, I., Western Institute of Nanoelectronics, Annual Review Abstract 3(1) (2012). Available at .
Khitun, A. & Wang, K. L., “Non-volatile magnonic logic circuits engineering.” J. Applied Physics, 110, 034306 (2011).CrossRefGoogle Scholar
Wu, Y. et al., “A three-terminal spin-wave device for logic applications.” Journal of Nanoelectronics and Optoelectronics, 4, 394–397 (2009).CrossRefGoogle Scholar
Shabadi, P. et al., “Towards logic functions as the device.” In Proceedings of the Nanoscale Architectures (NANOARCH), 2010 IEEE/ACM International Symposium, pp. 11–16 (2010).
Berger, L., “Emission of spin waves by a magnetic multilayer traversed by a current.” Physical Review B, 54 , 9353–9358 (1996).CrossRefGoogle ScholarPubMed
Katine, J. A., Albert, F. J., Buhrman, R. A., Myers, E. B., & Ralph, D. C., “Current-driven magnetization reversal and spin-wave excitations in Co /Cu /Co pillars.” Physical Review Letters, 84, 3149–3152 (2000).CrossRefGoogle Scholar
Kaka, S. et al., “Mutual phase-locking of microwave spin torque nano-oscillators.” In IEEE International Magnetics Conference, 2006, 2(01), pp. 1–2 (2006).Google Scholar
Mancoff, F. B., Rizzo, N. D., Engel, B. N., & Tehrani, S., “Phase-locking in double-point-contact spin-transfer devices.” Nature, 437, 393–395 (2005).CrossRefGoogle ScholarPubMed
Kozhanov, A., “Spin wave topology and imaging.” Annual Report to the Western Institute of Nanoelectronics (2011). Available at .
Cherepov, S. et al., “Electric-field-induced spin wave generation using multiferroic magnetoelectric cells.” In Proceedings of the 56th Conference on Magnetism and Magnetic Materials (MMM 2011), DB-03 (2011).
Khitun, A., Bao, M., & Wang, K. L., “Spin wave magnetic nanofabric: a new approach to spin-based logic circuitry.” IEEE Transactions on Magnetics, 44, 2141–2152 (2008).CrossRefGoogle Scholar
Khitun, A. et al., “Inductively coupled circuits with spin wave bus for information processing.” Journal of Nanoelectronics and Optoelectronics, 3, 24–34 (2008).CrossRefGoogle Scholar
Khitun, A., “Multi-frequency magnonic logic circuits for parallel data processing.” Journal of Applied Physics, 111, 054307 (2012).CrossRefGoogle Scholar
“Process integration and device structure.” International Technology Roadmap for Semiconductors (ITRS) (2011). Available at: .
Shabadi, P. et al., “Spin wave functions nanofabric update.” In Proceedings of the IEEE/ACM International Symposium on Nanoscale Architectures (NANOARCH-11), pp. 107–113 (2011).
Khitun, A., “Magnonic holographic devices for special type data processing.” J. Applied Physics, 113, 164503 (2013).CrossRefGoogle Scholar
Lee, S. H., Ed., Optical Information Processing Fundamentals (Berlin: Springer, 1981).CrossRefGoogle Scholar
Chua, L. O. & Yang, L., “Cellular neural networks: theory.” IEEE Transactions on Circuits & Systems, 35, 1257–1272 (1988).CrossRefGoogle Scholar
Ambs, P., “Optical computing: a 60-year adventure.” Advances in Optical Technologies, vol. 2010, Article ID 372652, 15 pages (2010). .
Khitun, A., Mingqiang, B., & Wang, K. L., “Magnetic cellular nonlinear network with spin wave bus.” In 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA 2010), pp. 1–5 (2010).
Gabor, D., “A new microscopic principle.” Nature, 161, 777–778 (1948).CrossRefGoogle ScholarPubMed
Hariharan, P., ed., Optical Holography: Principles, Techniques and Applications , 2nd edn. (Cambridge: Cambridge University Press, 1996).CrossRefGoogle Scholar
Chung, T. K., Keller, S., & Carman, G. P., “Electric-field-induced reversible magnetic single-domain evolution in a magnetoelectric thin film.” Applied Physics Letters, 94, 132501 (2009).CrossRefGoogle Scholar
Yearly report. International Technology Roadmap for Semiconductors (ITRS) (2007). Available at: ..
Chen, A., private communication (2010).

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