The magnetic field generated by a charge in a uniaxial magnetoelectric material

Abstract

We revisit the description of the magnetic field around antiferromagnetic magnetoelectrics in the context of recent developments regarding magnetoelectric monopoles. Using Maxwell's equations, we calculate the magnetic and electric fields associated with a free charge in a bulk uniaxial magnetoelectric, as well as in a finite sphere of magnetoelectric material. We show that a charge in the prototypical magnetoelectric Cr${}_2$O${}_3$, which is uniaxial with a diagonal magnetoelectric response, induces an internal magnetic field with both monopolar and quadrupolar components, but that only the quadrupolar contribution extends beyond the sample surface. We discuss the behavior of the external quadrupolar field and compare its magnitude to those of magnetic fields from other sources.

References in corpus (3)

• Towards a microscopic theory of toroidal moments in bulk periodic crystals
• Equilibrium magnetization at the boundary of a magnetoelectric antiferromagnet
• Canonical magnetic insulators with isotropic magnetoelectric coupling

Cited by in corpus (7)

• Functional Approach to Electrodynamics of Media
• Search for the magnetic monopole at a magnetoelectric surface
• Multiferroics and beyond: electric properties of different magnetic textures
• Magnetoelectricity in two-dimensional materials
• Magnetoelectric effect in bilayer graphene controlled by valley-isospin density
• Generalized method of image dyons for quasi-two dimensional slabs with ordinary-topological insulator interfaces
• Classically Bound and Quantum Quasi-Bound States of an Electron on a Plane Adjacent to a Magnetic Monopole