Modification of transition radiation by three-dimensional topological insulators

Abstract

We study how transition radiation is modified by the presence of a generic magnetoelectric medium with a special focus on topological insulators. To this end, we use the Green's function for the electromagnetic field in presence of a plane interface between two topological insulators with different topological parameters, permittivities and permeabilities. We employ the far-field approximation together with the steepest descent method to obtain approximate analytical expressions for the electromagnetic field. Through this method we find that the electric field is a superposition of spherical waves and lateral waves. Contributions of both kind can be attributed to a purely topological origin. After computing the angular distribution of the radiation, we find that in a region far from the interface the main contribution to the radiation comes from the spherical waves. We present typical radiation patterns for the topological insulator TlBiSe${}_2$ and the magnetoelectric TbPO${}_4$. In the ultra-relativistic case, the additional contributions from the magnetoelectric coupling appreciably enhance the global maximum of the angular distribution. We also present an analytic expression for the frequency distribution of the radiation for this case. We find that in the limit where the permittivities are equal there still exists transition radiation of the order of the square of the topological parameter with a pure topological origin.

18 pages, 10 figures, Published final version

References in corpus (13)

• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
• Axion Quasiparticles for Axion Dark Matter Detection
• Performance of the AMS-02 Transition Radiation Detector
• Axion-matter coupling in multiferroics
• Reversed electromagnetic Vavilov-Čerenkov radiation in naturally existing magnetoelectric media

Cited by in corpus (5)

• New polarization rotation and exact TEM wave solutions in topological insulators
• Vavilov-Cherenkov radiation for parallel motion in three-dimensional topological insulators
• Electromagnetic coupling and transport in a topological insulator-graphene hetero-structure
• Spectroscopic footprints of quantum friction in nonreciprocal and chiral media
• Topological magnetoelectric response in passive magnetic devices