Spin connection and boundary states in a topological insulator
Spin connection and boundary states in a topological insulator
We study the surface resistivity of a three-dimensional topological insulator when the boundaries exhibit a nontrivial curvature. We obtain an analytical solution for a spherical topological insulator, and we show that a nontrivial quantum spin connection emerges from the three-dimensional band structure. We analyze the effect of the spin connection …