A Local Gauge Description of the Interaction between Magnetization and Electric Field in a Ferromagnet

We apply a non-abelian gauge field approach to generalize the micromagnetic energy description of a ferromagnet. This approach, without further assumption takes into account three different energy terms: the well known exchange term, a chiral ones and an intrinsic anisotropy term. In the non-abelian gauge field approach the covariant gauge derivative plays a key role. The results is the emergence of a Dzyaloshinskii–Moriya like energy term under two conditions: the first one is the pure gauge field background and the second one is the presence of a static electric field. Moreover this approach allows to reach a more deep understanding of the micromagnetics theory if rewritten in a gauge invariant formulation. In this paper clearly emerges the interpretation of the voltage controlled magnetic anisotropy (VCMA) mechanism.