(a) and (b) The energy spectrum and knot of the Haldane model in momentum space with respect to different phases ϕ and on-site energy M = 1. (c) The knot of the Haldane model in momentum space on-site energy M = 0. The frequency ratio for the figures above is ω x : ω y = 1 : 100 and t 2 = − 2 .