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In this paper we present detailed numerical simulation studies on thesynchronization of two spin-torque nanooscillators (STNO) in the quasi-1Dgeometry: magnetization oscillations are induced in a thin NiFe nanostripe by aspin polarized current injected via square-shaped CoFe nanomagnets on the topof this stripe. In a sufficiently large out-of-plane field, a propagatingoscillation mode appears in such a system. Due to the absence of thegeometrically caused wave decay in 1D systems, this mode is expected to enablea long-distance synchronization between STNOs. Indeed, our simulations predictthat synchronization of two STNOs on a nanowire is possible up to theintercontact distance 3 mkm (for the nanowire width 50 nm). However, we havealso found several qualitatively new features of the synchronization behaviourfor this system, which make the achievement of a stable synchronization in thisgeometry to a highly non-trivial task. In particular, there exist a minimaldistance between the nanocontacts, below which a synchronization of STNOs cannot be achieved. Further, when the current value in the first contact is keptconstant, the amplitude of synchronized oscillations depends non-monotonouslyon the current value in the second contact. Finally, for one and the samecurrents values through the contacts there might exist several synchronizedstates (with different frequencies), depending on the initial conditions.

Synchronization of spin-torque driven nanooscillators for point contacts on a quasi-1D nanowire: Micromagnetic simulations