Mode coupling in spin torque oscillators
Abstract
A number of recent experimental works have shown that the dynamics of a single spin torque oscillator can exhibit complex behavior that stems from interactions between two or more modes of the oscillator, such as observed mode-hopping or mode coexistence. There has been some initial work indicating how the theory for a single-mode (macro-spin) spin torque oscillator should be generalized to include several modes and the interactions between them. In the present work, we rigorously derive such a theory starting with the Landau–Lifshitz–Gilbert equation for magnetization dynamics by expanding up to third-order terms in deviation from equilibrium. Here, our results show how a linear mode coupling, which is necessary for observed mode-hopping to occur, arises through coupling to a magnon bath. In conclusion, the acquired temperature dependence of this coupling implies that the manifold of orbits and fixed points may shift with temperature.
- Authors:
-
- Univ. of Missouri, Columbia, MO (United States). Dept. of Physics and Astronomy
- Univ. of Hong Kong (China). Dept. of Physics; Univ. of Hong Kong (China). Center of Theoretical and Computational Physics
- Hong Kong Baptist Univ., Hong Kong (China). Centre for Nonlinear Studies, and Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Dept. of Physics
- Argonne National Lab. (ANL), Argonne, IL (United States). Material Science Division; Northwestern-Argonne Inst. of Science and Technology, Evanston, IL (United States); Univ. of Chicago, IL (United States). Computation Inst.
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1336254
- Alternate Identifier(s):
- OSTI ID: 1359364
- Grant/Contract Number:
- AC02-06CH11357; DMR-1406568; HKU 17210014
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Magnetism and Magnetic Materials
- Additional Journal Information:
- Journal Volume: 414; Journal Issue: C; Journal ID: ISSN 0304-8853
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; spin-torque oscillator
Citation Formats
Zhang, Steven S. -L., Zhou, Yan, Li, Dong, and Heinonen, Olle. Mode coupling in spin torque oscillators. United States: N. p., 2016.
Web. doi:10.1016/j.jmmm.2016.04.041.
Zhang, Steven S. -L., Zhou, Yan, Li, Dong, & Heinonen, Olle. Mode coupling in spin torque oscillators. United States. https://doi.org/10.1016/j.jmmm.2016.04.041
Zhang, Steven S. -L., Zhou, Yan, Li, Dong, and Heinonen, Olle. Thu .
"Mode coupling in spin torque oscillators". United States. https://doi.org/10.1016/j.jmmm.2016.04.041. https://www.osti.gov/servlets/purl/1336254.
@article{osti_1336254,
title = {Mode coupling in spin torque oscillators},
author = {Zhang, Steven S. -L. and Zhou, Yan and Li, Dong and Heinonen, Olle},
abstractNote = {A number of recent experimental works have shown that the dynamics of a single spin torque oscillator can exhibit complex behavior that stems from interactions between two or more modes of the oscillator, such as observed mode-hopping or mode coexistence. There has been some initial work indicating how the theory for a single-mode (macro-spin) spin torque oscillator should be generalized to include several modes and the interactions between them. In the present work, we rigorously derive such a theory starting with the Landau–Lifshitz–Gilbert equation for magnetization dynamics by expanding up to third-order terms in deviation from equilibrium. Here, our results show how a linear mode coupling, which is necessary for observed mode-hopping to occur, arises through coupling to a magnon bath. In conclusion, the acquired temperature dependence of this coupling implies that the manifold of orbits and fixed points may shift with temperature.},
doi = {10.1016/j.jmmm.2016.04.041},
journal = {Journal of Magnetism and Magnetic Materials},
number = C,
volume = 414,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2016},
month = {Thu Sep 15 00:00:00 EDT 2016}
}
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Works referenced in this record:
Current-driven excitation of magnetic multilayers
journal, June 1996
- Slonczewski, J. C.
- Journal of Magnetism and Magnetic Materials, Vol. 159, Issue 1-2
Spin transfer torques
journal, April 2008
- Ralph, D. C.; Stiles, M. D.
- Journal of Magnetism and Magnetic Materials, Vol. 320, Issue 7
Microwave generation in MgO magnetic tunnel junctions due to spin transfer effects (invited)
journal, April 2008
- Nazarov, Alexey V.; Nikolaev, Konstantin; Gao, Zheng
- Journal of Applied Physics, Vol. 103, Issue 7
Bias-driven high-power microwave emission from MgO-based tunnel magnetoresistance devices
journal, August 2008
- Deac, Alina M.; Fukushima, Akio; Kubota, Hitoshi
- Nature Physics, Vol. 4, Issue 10
Temporal Coherence of MgO Based Magnetic Tunnel Junction Spin Torque Oscillators
journal, June 2009
- Houssameddine, D.; Ebels, U.; Dieny, B.
- Physical Review Letters, Vol. 102, Issue 25
Evolution of spin-wave modes in magnetic tunnel junction nanopillars
journal, September 2010
- Zeng, Zhongming; Cheung, Kwun Hung; Jiang, H. W.
- Physical Review B, Vol. 82, Issue 10
Temperature dependence of linewidth in nanocontact based spin torque oscillators: Effect of multiple oscillatory modes
journal, November 2012
- Muduli, P. K.; Heinonen, O. G.; Åkerman, Johan
- Physical Review B, Vol. 86, Issue 17
Area dependence of high-frequency spin-transfer resonance in giant magnetoresistance contacts up to 300nm diameter
journal, March 2006
- Mancoff, F. B.; Rizzo, N. D.; Engel, B. N.
- Applied Physics Letters, Vol. 88, Issue 11
Direct-Current Induced Dynamics in Point Contacts
journal, January 2004
- Rippard, W.; Pufall, M.; Kaka, S.
- Physical Review Letters, Vol. 92, Issue 2
Developments in nano-oscillators based upon spin-transfer point-contact devices
journal, April 2008
- Silva, T. J.; Rippard, W. H.
- Journal of Magnetism and Magnetic Materials, Vol. 320, Issue 7
Excitation of Spin Waves by Spin-Polarized Current in Magnetic Nano-Structures
journal, July 2008
- Slavin, A.; Tiberkevich, V.
- IEEE Transactions on Magnetics, Vol. 44, Issue 7
Magnetization oscillations induced by a spin-polarized current in a point-contact geometry: Mode hopping and nonlinear damping effects
journal, October 2007
- Berkov, D. V.; Gorn, N. L.
- Physical Review B, Vol. 76, Issue 14
Power and linewidth of propagating and localized modes in nanocontact spin-torque oscillators
journal, May 2012
- Bonetti, Stefano; Puliafito, Vito; Consolo, Giancarlo
- Physical Review B, Vol. 85, Issue 17
Experimental Evidence of Self-Localized and Propagating Spin Wave Modes in Obliquely Magnetized Current-Driven Nanocontacts
journal, November 2010
- Bonetti, Stefano; Tiberkevich, Vasil; Consolo, Giancarlo
- Physical Review Letters, Vol. 105, Issue 21
Time-domain studies of very-large-angle magnetization dynamics excited by spin transfer torques
journal, February 2008
- Krivorotov, I. N.; Emley, N. C.; Buhrman, R. A.
- Physical Review B, Vol. 77, Issue 5
Excitations of incoherent spin-waves due to spin-transfer torque
journal, November 2004
- Lee, Kyung-Jin; Deac, Alina; Redon, Olivier
- Nature Materials, Vol. 3, Issue 12
Mechanisms limiting the coherence time of spontaneous magnetic oscillations driven by dc spin-polarized currents
journal, December 2005
- Sankey, J. C.; Krivorotov, I. N.; Kiselev, S. I.
- Physical Review B, Vol. 72, Issue 22
Decoherence and Mode Hopping in a Magnetic Tunnel Junction Based Spin Torque Oscillator
journal, May 2012
- Muduli, P. K.; Heinonen, O. G.; Åkerman, Johan
- Physical Review Letters, Vol. 108, Issue 20
Spin-Wave-Mode Coexistence on the Nanoscale: A Consequence of the Oersted-Field-Induced Asymmetric Energy Landscape
journal, June 2013
- Dumas, Randy K.; Iacocca, E.; Bonetti, S.
- Physical Review Letters, Vol. 110, Issue 25
Theory of a two-mode spin torque nanooscillator
journal, April 2007
- de Aguiar, F. M.; Azevedo, A.; Rezende, S. M.
- Physical Review B, Vol. 75, Issue 13
Two-dimensional phase-space analysis and bifurcation study of the dynamical behaviour of a semiconductor ring laser
journal, April 2008
- Sande, G. Van der; Gelens, L.; Tassin, P.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41, Issue 9
Topological Insight into the Non-Arrhenius Mode Hopping of Semiconductor Ring Lasers
journal, August 2008
- Beri, S.; Gelens, L.; Mestre, M.
- Physical Review Letters, Vol. 101, Issue 9
Generation linewidth of mode-hopping spin torque oscillators
journal, February 2014
- Iacocca, Ezio; Heinonen, Olle; Muduli, P. K.
- Physical Review B, Vol. 89, Issue 5
Mode-hopping mechanism generating colored noise in a magnetic tunnel junction based spin torque oscillator
journal, September 2014
- Sharma, Raghav; Dürrenfeld, P.; Iacocca, E.
- Applied Physics Letters, Vol. 105, Issue 13
Mode-coupling mechanisms in nanocontact spin-torque oscillators
journal, March 2015
- Iacocca, Ezio; Dürrenfeld, Philipp; Heinonen, Olle
- Physical Review B, Vol. 91, Issue 10
Mechanisms of Spin-Polarized Current-Driven Magnetization Switching
journal, May 2002
- Zhang, S.; Levy, P. M.; Fert, A.
- Physical Review Letters, Vol. 88, Issue 23
Bias dependence of perpendicular spin torque and of free- and fixed-layer eigenmodes in MgO-based nanopillars
journal, May 2011
- Muduli, P. K.; Heinonen, O. G.; Åkerman, Johan
- Physical Review B, Vol. 83, Issue 18
Operating regimes of gaas-algaas semiconductor ring lasers: experiment and model
journal, October 2003
- Sorel, M.; Giuliani, G.; Scire, A.
- IEEE Journal of Quantum Electronics, Vol. 39, Issue 10
On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
journal, August 1994
- Krasitskii, Vladimir P.
- Journal of Fluid Mechanics, Vol. 272
Diagonalization of the quadratic boson hamiltonian
journal, September 1978
- Colpa, J. H. P.
- Physica A: Statistical Mechanics and its Applications, Vol. 93, Issue 3-4
Approximate theory of microwave generation in a current-driven magnetic nanocontact magnetized in an arbitrary direction
journal, April 2005
- Slavini, A. N.; Kabos, P.
- IEEE Transactions on Magnetics, Vol. 41, Issue 4
Magnetization dynamics with a spin-transfer torque
journal, July 2003
- Li, Z.; Zhang, S.
- Physical Review B, Vol. 68, Issue 2
Angular dependence of spin torque critical currents for CPP-GMR read heads
journal, October 2005
- Smith, N.; Katine, J. A.; Childress, J. R.
- IEEE Transactions on Magnetics, Vol. 41, Issue 10
Works referencing / citing this record:
Tunable Mode Coupling in Nanocontact Spin-Torque Oscillators
journal, July 2017
- Zhang, Steven S. -L.; Iacocca, Ezio; Heinonen, Olle
- Physical Review Applied, Vol. 8, Issue 1