It has been proposed that topological insulators can be best characterized not as surface conductors, but as bulk magnetoelectrics that -- under the right conditions-- have a universal quantized magnetoelectric response coefficient $e^2/2h$. However, it is not clear to what extent these conditions are achievable in real materials that can have disorder, finite chemical potential, residual dissipation, and even inversion symmetry. This has led to some confusion and misconceptions. The primary goal of this work is to illustrate exactly under what real life scenarios and in what context topological insulators can be described as magnetoelectrics. We explore analogies of the 3D magnetoelectric response to electric polarization in 1D in detail, the formal vs. effective polarization and magnetoelectric susceptibility, the 1/2 quantized surface quantum Hall effect, the multivalued nature of the magnetoelectric susceptibility, the role of inversion symmetry, the effects of dissipation, and the necessity for finite frequency measurements. We present these issues from the perspective of experimentalists who have struggled to take the beautiful theoretical ideas and to try to measure their (sometimes subtle) physical consequences in messy real material systems.
Cited by 4
Raphael C. Vidal et al., Topological Electronic Structure and Intrinsic Magnetization in
Derivative with a Periodic Mn Sublattice
Phys. Rev. X 9, 041065 (2019) [Crossref]
Nicola A. Spaldin, Multiferroics beyond electric-field control of magnetism
Proc. R. Soc. A 476, 20190542 (2020) [Crossref]
Xinwei Li et al., Terahertz Faraday and Kerr rotation spectroscopy of
films in high magnetic fields up to 30 tesla
Phys. Rev. B 100, 115145 (2019) [Crossref]
Yu-Jie Hao et al., Gapless Surface Dirac Cone in Antiferromagnetic Topological Insulator
Phys. Rev. X 9, 041038 (2019) [Crossref]
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- 1 N. Peter Armitage,
- 2 Liang Wu