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Random Spin Signal in Magnetic Resonance Force Microscopy

We study a random magnetic resonance force microscopy (MRFM) signal caused by the thermal vibrations of high frequency cantilever modes in the oscillating cantilever-driven adiabatic reversals (OSCAR) technique. We show that the regular MRFM signal with a characteristic decay time, $τ_m$, is followed by a non-dissipative random signal with a characteristic time $τ_r$. We present the estimates for the values of $τ_m$ and $τ_r$. We argue that this random MRFM signal can be used for spin detection. It has a ``signature'' of a sharp peak in its Fourier spectrum.