Fig. 4: Real-space evolution of the hinge spectra.
From: Spectral signatures of the surface anomalous Hall effect in magnetic axion insulators

Surface states and the evolution of the hinge states through the top surface a–e and the side surface f–j for FM axion insulator MnBi2Te4. a Top surface states. b–d LDOS of a sample with 20-unit-cell thick in the x-direction, including the right hinge b, center of the top surface c, and the left hinge d. e Intensity of the in-band (blue) and in-gap (red) hinge states projected onto different positions of the top surface as a function of the unit-cell index (#1 and #20 are the hinges, while #10 is the center of the computed cell). f Side surface states. g–i LDOS of a sample with 30-unit-cell thick in the z-direction (i.e., 30 VdW layers), including the top hinge g, center of the side surface h, and the bottom hinge i. j Similar to e but for the side surface.