Abstract
The dynamics of a macrospin variable representing homogeneous magnetization of the free layer of a nanospin transfer oscillator (STNO) can be represented by the Landau–Lifshitz–Gilbert–Slonczewski (LLGS) equation. This is a generalization of the evolution equation of a ferromagnetic spin system represented by the Heisenberg interaction. STNO is a fascinating nonlinear system exhibiting an interesting bifurcation-chaos scenario depending up on the nature of the applied external magnetic field and the spin current. In order to enhance the microwave power generated by STNOs, recently it has been suggested to consider series and parallel arrays of STNOs with appropriate couplings so that the oscillators get synchronized. We show here the interesting possibility of obtaining synchronization with a common external periodically varying applied magnetic field. We also study the mass synchronization in arrays of STNOs represented by phase oscillators and study the underlying properties.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
D.C. Mattis, Theory of Magnetism I: Statics and Dynamics (Springer, Berlin, 1988)
M.D. Stiles, J. Miltat, Top. Appl Phys. 101, 225 (2006)
G. Bertotti, I. Mayergoyz, C. Serpico, Nonlinear Magnetization Dynamics in Nanosystems (Elsevier, Amsterdam, 2009)
L.D. Landau, L.M. Lifshitz, Physik. Zeits. Sowjetunion 8, 153–169 (1935)
M. Lakshmanan, Phil. Trans. R. Soc. A 369, 1280–1300 (2011)
T.L. Gilbert, IEEE Trans. Magn. 40, 3443–49 (2004)
J.C. Slonczewski, J. Magn. Magn. Mater. 159, L261–L268 (1996)
L. Berger, Phys. Rev. B 54, 9353–9358 (1996)
Y.B. Bazaliy, B.A. Jones, S.-C. Zhang, Phys. Rev. B 57, R3213–R3216 (1998)
A. Pikovsky, M. Rosenblum, J. Kurths, Synchronization—A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001)
B. Georges, J. Grollier, V. Cros, A. Fert, Appl. Phys. Lett. 92, 232504 (2008)
B. Georges, J. Grollier, M. Darques, V. Cros, C. Deranlot, B. Marcilhac, G. Faini, A. Fert, Phys. Rev. Lett. 101, 017201 (2008)
J. Persson, Y. Zhou, J. Akerman, J. Appl. Phys. 101, 09A503 (2007)
B. Georges, V. Cros, A. Fert, Phys. Rev. B 73, 0604(R)–0609(R) (2006)
K. Nakada, S. Yakata, T. Kimura, J. Appl. Phys. 111, 07C9920 (2012)
B. Hillebrands, K. Ounadjela, Spin Dynamics in Confined Magnetic Structures (Springer, Berlin, 2002)
M. Lakshmanan, K. Nakumara, Phys. Rev. Lett. 53, 2497–2499 (1984)
Z. Yang, S. Zhang, Y.C. Li, Phys. Rev. Lett. 99, 134101 (2007)
S. Murugesh, M. Lakshmanan, Chaos 19, 043111(1–7) (2009)
B. Subash, V. K. Chandrasekar, M. Lakshmanan, Europhys. Lett. 102, 17010 (2013)
J. Xu, G. Jin, J. Appl. Phys. 111, 066101 (2012)
V.K. Chandrasekar, J.H. Sheeba, M. Lakshmanan, Chaos 20, 045106 (2010)
E. Ott, T.M. Antonsen, Chaos 18, 037113 (2008)
Acknowledgments
The work forms part of a Department of Science and Technology(DST), Government of India, IRHPA project and is also supported by a DST Ramanna Fellowship of M. L. He has also been financially supported by a DAE Raja Ramanna Fellowship.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Subash, B., Chandrasekar, V.K., Lakshmanan, M. (2014). Nonlinear Dynamics of an Array of Nano Spin Transfer Oscillators. In: In, V., Palacios, A., Longhini, P. (eds) International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012). Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-02925-2_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-02925-2_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02924-5
Online ISBN: 978-3-319-02925-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)