Berlin 2018 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 82: Topological Insulators II (joint session TT/MA)
TT 82.11: Talk
Thursday, March 15, 2018, 12:15–12:30, A 053
Electrically induced quantum vortices and anyons in three-dimensional topological insulators — •Flavio Nogueira and Jeroen van den Brink — IFW Dresden
The electromagnetic response of a three-dimensional topological insulator is well known to be given by a so called axion electrodynamics, which features a magnetoelectric topological term αθ/(4π2)E·B in the Lagrangian density, where θ is a 2π-periodic parameter and α the fine-structure constant. We show that a point electric charge induces a quantized vortex on the surface of a topological insulator, even if the system is not a superfluid. We derive the exact expressions for the electrically induced magnetic field and angular momentum. It is shown that the dynamics of charged particles on the surface obeys fractional statistics. We briefly discuss different experimental probes to detect this behavior.