Fig. 2: Excited-state density under a delta potential.
From: Flat bands on a spherical surface from Landau levels to giant-quantum-number orbitals
The density profile ρ of the excited state of a delta potential located at the North Pole for the lth and (l + 1)th flat bands mixing with orbital angular momentum l = 25. a The strength of the magnetic monopole Q = l and ϕ = 0, where θ and ϕ are the angular coordinates. Blue solid, orange dotted, green dashed and red dash-dotted lines represent \({W}_{\delta }/\Delta {E}_{k}^{l}=1{0}^{-1},\,1{0}^{-2},\,1{0}^{-3}\) and 10−4, where Wδ is the strength of the delta potential and \(\Delta {E}_{k}^{l}\) is the flat-band gap. b Q = 0 and ϕ = 0. The gray cone marks a scanning tunneling microscopy (STM) tip applying a delta potential at one end of the blue sphere, resulting in simultaneous electron density accumulation at both ends. Source data are provided in the Supplementary Data.
