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Phase-Sensitive Imaging of Ferromagnetic Resonance Using Ultrafast Heat Pulses
Phys. Rev. Applied 4, 044004 – Published 9 October, 2015
DOI: https://doi.org/10.1103/PhysRevApplied.4.044004
Abstract
Measuring local magnetization dynamics and its spatial variation is essential for advancements in spintronics and relevant applications. Here we demonstrate a phase-sensitive imaging technique for studying patterned magnetic structures based on picosecond laser heating. With the time-resolved anomalous Nernst effect (TRANE) and extensions, we simultaneously image the dynamic magnetization and rf driving current density. The stroboscopic detection implemented in TRANE microscopy provides access to both amplitude and phase information of the ferromagnetic resonance (FMR) and rf current. Using this approach, we measure the spatial variation of the Oersted driving field angle across a uniform channel. In a spatially nonuniform sample with a cross shape, a strong spatial variation for the rf current as well as FMR precession is observed. We find that both the amplitude and the phase of local FMR precession are closely related to those of the rf current.
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The minus sign is merely due to the choice of the ground. We define the sign of the current to be consistent with that of the driving field , i.e., when , .
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To obtain the precession angle , we use , where 5° is the titling angle of the in-plane applied field with respect to the direction, is the voltage amplitude of the FMR signal, and is the voltage difference between opposite large fields in the hysteresis loop [Fig. 1].
Note that Eq. (2) is valid under small-modulation-field approximation. In our setup, we use a modulation field of about 7 G, and the full width at half maximum of the linewidth is typically around 33 G. Thus, the expression in Eq. (2) is adequate for fitting the spectra.
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