Phase locking dynamics of dipolarly coupled vortex-based spin transfer   oscillators
  Phase locking dynamics of dipolarly coupled vortices excited by spin-polarized current in two identical nanopillars is studied as a function of the interpillar distance L. Numerical study and analytical model have proved the remarkable efficiency of magneto-static interaction to achieve phase locking. Investigating the dynamics in the transient regime towards phase locking, we extract the evolution of the locking time \tau, the coupling strength {\mu} and the interaction energy W. Finally, we compare this coupling energy with the one obtained by simple model. 
A.D. Belanovsky, N. Locatelli, P.N. Skirdkov, F. Abreu Araujo, J.   Grollier, K.A. Zvezdin, V. Cros and A.K. Zvezdin
cond-mat.mes-hall