Torque magnetometry of permalloy-coated microcantilevers using higher order vibrational modes

There has been an accumulation of recent interest in the development of magnetometry techniques facilitating the use of nano- and micro-resonators. A finite element model describing the interaction of a magnetic cantilever driven at its fundamental resonance frequency by an external field is described and illustrated for the simple case of a straight domain wall propagating across the cantilever during magnetization reversal. The experimental results are compared to the finite element mechanical transformation of Landau-Lifshits-Gilbert based micromagnetic simulations. This idea is then extended to higher order (flexural and torsional) modes, with the intent of moving towards increased sensitivity and functionalization of magnetometers for the observation of quasi-static magnetization processes.