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Despite the prospect of next-generation electronic technologies has spurredthe investigation of the remarkable topological magnetoelectric response, itremains largely unexplored its potential in the application of basic electronicdevices. In this paper, we undertake this task at the theoretical level byaddressing the $\theta$-electrodynamics and examine electromagnetic properties(e.g. tunable inductance, operating frequency range, and power consumption) ofthree fundamental passive magnetic devices endowed with this effect: theprimitive transformer, the bilayer solenoid inductor, and the solenoidactuator. We further exploit the methodology of magnetic circuits to obtain anextended Hopkinson's law that is valid for both topological and ordinarymagnetoelectric responses (provided it is uniform in the bulk). Under low-powerconditions, we find out that the functionally passive part of thetopological-magnetoelectric transformer, solenoid inductor as well as solenoidactuator is indistinguishable from the conventional situation up tosecond-order in the magnetoelectric susceptibility; and argue that the mainbenefit of using topological insulators essentially relies on a lower powerconsumption. Our theoretical framework is also convenient to analysemagnetoelectric inductors endowed with a relatively large magnetoelectricsusceptibility, they display a broad inductance tunability of over 200% up to100 GHz in the millimeter length scale. Conversely, our treatment predicts thatthe operating frequency range could be restricted below the ultra low frequencyby a significantly strong magnetoelectric response (e.g. retrieved by certainmultiferroic heterostructures).

Topological magnetoelectric response in passive magnetic devices