Topological magnetoelectric response in passive magnetic devices

Abstract

Despite the prospect of next-generation electronic technologies has spurred the investigation of the remarkable topological magnetoelectric response, it remains largely unexplored its potential in the application of basic electronic devices. In this paper, we undertake this task at the theoretical level by addressing the $\theta$-electrodynamics and examine electromagnetic properties (e.g. tunable inductance, operating frequency range, and power consumption) of three fundamental passive magnetic devices endowed with this effect: the primitive transformer, the bilayer solenoid inductor, and the solenoid actuator. We further exploit the methodology of magnetic circuits to obtain an extended Hopkinson's law that is valid for both topological and ordinary magnetoelectric responses (provided it is uniform in the bulk). Under low-power conditions, we find out that the functionally passive part of the topological-magnetoelectric transformer, solenoid inductor as well as solenoid actuator is indistinguishable from the conventional situation up to second-order in the magnetoelectric susceptibility; and argue that the main benefit of using topological insulators essentially relies on a lower power consumption. Our theoretical framework is also convenient to analyse magnetoelectric inductors endowed with a relatively large magnetoelectric susceptibility, they display a broad inductance tunability of over 200% up to 100 GHz in the millimeter length scale. Conversely, our treatment predicts that the operating frequency range could be restricted below the ultra low frequency by a significantly strong magnetoelectric response (e.g. retrieved by certain multiferroic heterostructures).

arXiv comment22+6 pages, 8 figures. Comments are welcome. Substantial changes with respect to the first version: weak disverse effects are now treated, the numerical analysis was extended to the THz domain and the millimeter length scale, discussion has been partiatly modified, the vast majority of figures were replaced

References in corpus (31)

• Topological insulators and superconductors
• Topological Field Theory of Time-Reversal Invariant Insulators
• The quantum spin Hall effect and topological insulators
• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
• Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
• Multifunctional Magnetoelectric Materials for Device Applications
• Infrared and THz studies of polar phonons and improper magnetodielectric effect in multiferroic BFO3 ceramics
• Axion Electrodynamics in Topological Materials
• Dynamics of Multiferroic Domain Wall in Spin-Cycloidal Ferroelectric DyMnO${}_3$
• On the matter of topological insulators as magnetoelectrics
• Solutions to Axion Electrodynamics in Various Geometries
• The Electromagnetic Green's Function for Layered Topological Insulators
• Fractional angular momentum at topological insulator interfaces
• Josephson currents induced by the Witten effect
• The magnetoelectric coupling in Electrodynamics
• Magnetoelectric effect in cylindrical topological insulators
• Gap Generation in Topological Insulator Surface States by non-Ferromagnetic Magnets
• Interaction of a hydrogenlike ion with a planar topological insulator
• Symmetries and solutions of field equations of axion electrodynamics
• Optical properties of topological insulator Bragg gratings: Faraday rotation enhancement for TM polarized light at large incidence angles
• Magnetoelectric effect in topological insulator films beyond the linear response regime
• Modification of transition radiation by three-dimensional topological insulators
• Magnetoelectricity in two-dimensional materials
• Topological Magnetoelectric Effect: Nonlinear Time-Reversal-Symmetric Response, Witten Effect, and Half-Integer Quantum Hall Effect
• Absence of induced magnetic monopoles in Maxwellian magnetoelectrics
• Radiation backreaction in axion electrodynamics
• High-performance nanoscale topological energy transduction
• Extended symmetrical classical electrodynamics