Enhancing the injection locking range of spin torque oscillators through mutual coupling

We investigate how the ability of the vortex oscillation mode of a spin-torque nano-oscillator to lock to an external microwave signal is modified when it is coupled to another oscillator. We show experimentally that the mutual electrical coupling can lead to locking range enhancements of a factor 1.64. Furthermore, we analyze the evolution of the locking range as a function of the coupling strength through experiments and numerical simulations. By uncovering the mechanisms at stake in the locking range enhancement, our results will be useful for designing spin-torque nano-oscillator arrays with high sensitivities to external microwave stimuli.

[1]  A Fukushima,et al.  Mutual synchronization of spin torque nano-oscillators through a long-range and tunable electrical coupling scheme , 2016, Nature Communications.

[2]  Damien Querlioz,et al.  Spintronic Nanodevices for Bioinspired Computing , 2016, Proceedings of the IEEE.

[3]  R. Hicken,et al.  Superharmonic injection locking of nanocontact spin-torque vortex oscillators , 2016, 1604.04462.

[4]  J. Åkerman,et al.  Spin-wave-beam driven synchronization of nanocontact spin-torque oscillators. , 2016, Nature nanotechnology.

[5]  A Fukushima,et al.  Spin-torque resonant expulsion of the vortex core for an efficient radiofrequency detection scheme. , 2015, Nature nanotechnology.

[6]  Tadashi Shibata,et al.  Coupled-Oscillator Associative Memory Array Operation for Pattern Recognition , 2015, IEEE Journal on Exploratory Solid-State Computational Devices and Circuits.

[7]  Wolfgang Porod,et al.  Physical Implementation of Coherently Coupled Oscillator Networks , 2015, IEEE Journal on Exploratory Solid-State Computational Devices and Circuits.

[8]  Vincent Cros,et al.  Efficient Synchronization of Dipolarly Coupled Vortex-Based Spin Transfer Nano-Oscillators , 2015, Scientific Reports.

[9]  S. Yuasa,et al.  Understanding of Phase Noise Squeezing Under Fractional Synchronization of a Nonlinear Spin Transfer Vortex Oscillator. , 2015, Physical review letters.

[10]  S. Urazhdin,et al.  Synchronization of spin Hall nano-oscillators to external microwave signals , 2014, Nature Communications.

[11]  V. Cros,et al.  Spin-torque building blocks. , 2014, Nature materials.

[12]  V. Cros,et al.  Perfect and robust phase-locking of a spin transfer vortex nano-oscillator to an external microwave source , 2013, 1311.7096.

[13]  A Fukushima,et al.  Highly sensitive nanoscale spin-torque diode. , 2014, Nature materials.

[14]  J. Åkerman,et al.  Mutually synchronized bottom-up multi-nanocontact spin–torque oscillators , 2013, Nature Communications.

[15]  Vincent Cros,et al.  Field dependence of spin-transfer-induced vortex dynamics in the nonlinear regime , 2012 .

[16]  Changsong Zhou,et al.  Fractional locking of spin-torque oscillator by injected ac current , 2011 .

[17]  Bernard Dieny,et al.  Injection locking of tunnel junction oscillators to a microwave current , 2011 .

[18]  V. Cros,et al.  Phase locking of vortex based spin transfer oscillators to a microwave current , 2010, 1009.4076.

[19]  Zbigniew Celinski,et al.  Injection locking of the gyrotropic vortex motion in a nanopillar , 2010 .

[20]  Sergei Urazhdin,et al.  Fractional synchronization of spin-torque nano-oscillators. , 2010, Physical review letters.

[21]  G. Bertotti,et al.  Micromagnetic analysis of injection locking in spin-transfer nano-oscillators , 2010 .

[22]  A. Fert,et al.  Large microwave generation from current-driven magnetic vortex oscillators in magnetic tunnel junctions. , 2010, Nature communications.

[23]  Vincent Cros,et al.  Vortex oscillations induced by spin-polarized current in a magnetic nanopillar: Analytical versus micromagnetic calculations , 2009 .

[24]  V. Cros,et al.  Phase-locking of magnetic vortices mediated by antivortices. , 2009, Nature nanotechnology.

[25]  V. Tiberkevich,et al.  Nonlinear Auto-Oscillator Theory of Microwave Generation by Spin-Polarized Current , 2009, IEEE Transactions on Magnetics.

[26]  V. Cros,et al.  Impact of the electrical connection of N Spin Transfer Oscillators on their synchronization : an analytical study , 2008, 0804.4855.

[27]  A. Fert,et al.  Coupling efficiency for phase locking of a spin transfer nano-oscillator to a microwave current. , 2008, Physical review letters.

[28]  V. Cros,et al.  Synchronization of spin-transfer oscillators driven by stimulated microwave currents , 2005, INTERMAG 2006 - IEEE International Magnetics Conference.

[29]  B. N. Engel,et al.  Phase-locking in double-point-contact spin-transfer devices , 2005, Nature.

[30]  J. Katine,et al.  Mutual phase-locking of microwave spin torque nano-oscillators , 2005, Nature.

[31]  J. Katine,et al.  Injection locking and phase control of spin transfer nano-oscillators. , 2005, Physical review letters.

[32]  Heng-Chia Chang Phase noise in self-injection-locked oscillators - theory and experiment , 2003 .

[33]  Jürgen Kurths,et al.  Synchronization: Phase locking and frequency entrainment , 2001 .

[34]  Jürgen Kurths,et al.  Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.

[35]  A. Thiele Steady-State Motion of Magnetic Domains , 1973 .

[36]  R. Adler,et al.  A Study of Locking Phenomena in Oscillators , 1946, Proceedings of the IRE.