Chiral Hall effect in the kink states in topological insulators with magnetic domain walls

TL;DR

This paper investigates the chiral Hall effect arising from topologically protected kink states at magnetic domain walls in topological insulators, revealing equilibrium and dissipative current behaviors.

Contribution

It provides a theoretical analysis of the chiral Hall effect in topological insulators with magnetic domain walls, including current calculations and their physical implications.

Findings

Equilibrium charge current equals sum of counter-propagating boundary currents.

Dissipative current along domain wall under external voltage.

Analytical framework applicable to 3D and 2D topological insulators.

Abstract

In this article we consider the chiral Hall effect due to topologically protected kink states formed in topological insulators at boundaries between domains with differing topological invariants. Such systems include the surfaces of three dimensional topological insulators magnetically doped or in proximity with ferromagnets, as well as certain two dimensional topological insulators. We analyze the equilibrium charge current along the domain wall and show that it is equal to the sum of counter-propagating equilibrium currents flowing along external boundaries of the domains. In addition, we also calculate a dissipative current along the domain wall when an external voltage is applied perpendicularly to the wall.