attoPUBLICATIONS brochure_mk-joomag | Page 12

mK-ready Modules Selected AFM Measurement Modes Magnetic Force Microscopy (MFM) MFM uses cantilevers with magnetic coatings which are sensitive to magnetic interactions between tip and sample. Like most MFMs, attoMFM applies an AC actuation of the cantilever to achieve highest sensitivity. The cantilever mechanically oscillates at its natural resonance frequency f 0 in an orientation where its magnetic moment is swinging perpendicularly to the sample surface (z-direction). Resonance frequency (as well as amplitude and phase) of the cantilever is affected by the magnetic interaction. This frequency shift Δf = f res - f 0 can be detected by classi- cal lock-in techniques and is the most relevant physical quantity to measure due to its direct proportionality to the derivative of the local force F in the limit of small oscillation amplitudes: ∂F z  /∂z ~ 2 K Δ f /f 0 . The measurement therefore yields a 2D map of actual local magnetic stray field: ∂F z  /∂z ~ m tip,z ∂H z   /∂z (where m tip,z is the magnetization of the tip perpendicular to the sample surface) with very high spatial resolution. Using a phase- locked loop (PLL) technique, resonance frequency shifts as small as 1 μHz can be detected. Cantilever Dither Sample