Fig. 1: The network model HN.
From: Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
a, b Percolation systems with p0 > 1/2 and p0 < 1/2. c The network model on the Manhattan lattice, where the dashed line, dark red and blue rhombuses, and green oval indicate the Mxy mirror plane, C4z centers and C2zT center, respectively. At every intersection (e.g. yellow circle), there is a scattering potential λ, and the scattering angle θ is determined by λ = θv with v being the velocity of chiral modes. d Brillouin zone and high symmetry points. e Normalized quasi-1D localization length Λ’s as functions of θ at different transversal system sizes L. The used longitudinal system size is M = 107 and the precision (σΛ/Λ) has reached 1%. (For network model, `size’ refers to the number of squares.) Λ only depends on ∣θ∣, hence only data with θ < 0 is shown. f The mean conductances (over 103 square-shaped samples) as the function of θ and the precision (σG/G) has reached 0.5% in the delocalized phase. g–i Band structures of the network model at θ = − π/2, 0, π/2 − 0.2. Blue capital letters indicate the associated irreps. The inset in h is the 3D plot of the dispersion of the middle two bands around the zero energy indicated by the dashed lines.
