Fig. 3: The local density of states and edge current distribution in the absence of external field.

a The local density of states at the middle of the sample. b The relative local density of states at the top edge (pink dot) ρ_r(k_x, y = L_y). c The relative local density of states at the bottom edge (blue dot) ρ_r(k_x, y = 1). The relative local density of states means that the contribution from bulk is already deducted, ρ_r(k_x, 1) = ρ(k_x, 1) − ρ(k_x, L_y/2) and ρ_r(k_x, L_y) = ρ(k_x, L_y) − ρ(k_x, L_y/2). d A schematic of a stripe sample with the labelled positions for (a, b, and c). e The current density distribution for two different Fermi levels slight deviating from the half filling. f The Hall and longitudinal currents along the domain wall in two dimensions. Here L_y = 200, v = 1 and b₀ = 0.5.