Detecting the Anomalous Quantum Hall phase under magnetic field

Detecting the charming topological phase has been an ongoing topic. In this work, we take the square lattice as an example and try to detect the anomalous quantum Hall (AQH) phase under magnetic field. We analyze the topological energy levels of the system, the quantum Hall effect and quantum valley Hall effect, and the number of scattered electrons after a laser pulse, from which the unambiguous signals to characterize the AQH phases can be obtained. Meanwhile the corresponding valley polarizations of electrons are investigated. Our study opens new perspectives for the applications of valleytronics in the future.