Parametric amplification of reversible transverse susceptibility in single domain magnetic nanoparticles

We propose, model, and experimentally demonstrate the enhancement of reversible transverse susceptibility in single domain magnetic nanoparticles through the principle of parametric amplification. It has previously been demonstrated that properly oriented anisotropic single domain magnetic nanoparticles have an appreciable peak in transverse susceptibility at the particle anisotropy field. Here we show theoretically and experimentally that an additional parametric AC magnetic field applied at a proper phase and at twice the frequency (2f) of the transverse field further enhances transverse susceptibility peaks through the process of parametric amplification. We model this effect numerically and describe it through the energy formalism of the single magnetic domain Stoner-Wohlfarth model. The proper phase relationships of the transverse and parametric fields to obtain either parametric amplification or attenuation of the transverse susceptibility signals are also described. We experimentally demonstrate such parametric tuning of transverse susceptibility in single domain magnetic nanoparticles of a commercial audio tape in a prototypical inductive transverse susceptibility set-up