Fig. 1: Schematic Illustration of a Chern Network.
From: Chern networks: reconciling fundamental physics and device engineering

A Illustration of an electrostatically tunable Chern insulator, otherwise known as the quantum anomalous Hall insulator, shown as evolving from a Chern number of C = −2 to C = + 2 as tuned by an external gate voltage, VGATE. As the value of the Chern number changes, the number and chirality of the edge states propagating about the periphery of the system, as shown by the associated directional arrows. B An illustration of a Chern network where multiple externally tunable Chern insulators, each containing regions of distinct Chern number, are brought into close proximity to one another. The interactions change the overall direction of the flow of information in an externally controllable manner allowing for potentially complex designs. Current is input into the system and, given the pattern of Chern numbers in the network, the propagating current is directed into different remotely located voltage probes before exiting the network.