Impact of the electrical connection of N Spin Transfer Oscillators on their synchronization : an analytical study

Spin Transfer Nano-Oscillators (STNOs) are good candidates for applications to telecommunications, but their output power is very low, under the nW. A possible solution to overcome this problem is to synchronize an assembly of STNOs. For manufacturing purposes, large number of STNOs will have to be electrically connected. In this letter, we study analytically the impact of electrical connection on the synchronization of STNOs. Our analysis shows that the phase dynamics of the coupled STNOs can be described in the framework of the Kuramoto model. The conditions for successful synchronization of an assembly of STNOs are derived.