Stationary cantilever vibrations in oscillating-cantilever-driven adiabatic reversals: Magnetic-resonance-force-microscopy technique

We consider theoretically the novel technique in magnetic-resonance-force microscopy that is called ``oscillating-cantilever-driven adiabatic reversals.'' We present an analytical and numerical analysis for the stationary cantilever vibrations in this technique. For reasonable values of parameters, we estimate the resonant frequency shift as 6 Hz per the Bohr magneton. We analyze also the regime of small oscillations of the paramagnetic moment near the transversal plane and the frequency shift of the damped cantilever vibrations.