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Non-linear magnetization dynamics in ferromagnetic nanoelements excited bythe spin-polarized dc-current is one of the most intensively studied phenomenain solid state magnetism. Despite immense efforts, synchronization ofoscillations induced in several such nanoelements (spin-torque drivennanooscillators, or STNO) still represents a major challenge both from thefundamental and technological points of view. In this paper we propose a systemwhere synchronization of any number of STNOs, represented by magnetizationvortices inside squared nanoelements, can be easily achieved. Using full-scalemicromagnetic simulations we show that synchronization of these STNOs isextremely dynamically stable due to their very large coupling energy providedby the magnetodipolar interaction. Finally, we demonstrate that our conceptallows robust synchronization of an arbitrary number of STNOs (arranged eitheras a 1D chain or as a 2D array), even when current supplying nanocontacts havea broad size distribution.

Robust synchronization of an arbitrary number of spin-torque driven vortex nanooscillators