Discoveries of high-Chern-number and high-temperature Chern insulator states

The Quantum Hall effect (QHE) is one of the most important discoveries in physical sciences. Due to the one-dimensional (1-D) dissipationless edge states, QHE exhibits exotic transport properties with quantized Hall resistance of h/νe2 and vanishing longitudinal resistance. Here, h is Planck’s constant, ν is Landau filling factor and e is electron charge. QHE usually originates from the formation of remarkable…