  Spin transfer driven excitations in magnetic nanostructures are characterized
by a relatively large microwave emission linewidth (10 -100 MHz). Here we
investigate the role of thermal fluctuations as well as of the non-linear
amplitude-phase coupling parameter and the amplitude relaxation rate to explain
the linewidth broadening of in-plane precession modes induced in planar
nanostructures. Experiments on the linewidth broadening performed on MgO based
magnetic tunnel junctions are compared to the linewidth obtained from macrospin
simulations and from evaluation of the phase variance. In all cases we find
that the linewidth varies linearly with temperature when the amplitude
relaxation rate is of the same order as the linewidth and when the
amplitude-phase coupling parameter is relatively small. The small
amplitude-phase coupling parameter means that the linewidth is dominated by
direct phase fluctuations and not by amplitude fluctuations, explaining thus
its linear dependence as a function of temperature.
