Fig. 1: Topological phase diagram and related properties in the single particle region.
From: Reentrant topological phases and spin density wave induced by 1D moiré potentials

a Real-space winding number ν and b inverse of the zero-mode localization length Λ−1 as functions of mo and mz. Red dashed curve in (a) denotes the topological phase boundary revealed by the momentum-space winding number νk. Horizontal and vertical black dashed lines in (a) correspond to the cuttings for mz = 2.4 in (c) and mo = 2.8 in (d), respectively. Real-space winding number ν and energy gap ΔE as functions of (c) mo for mz = 2.4 and (d) mz for mo = 2.8 under the OBC. e Energy spectrum with respect to mo under the OBC. The zero-energy modes in the topological regions are highlighted in red. The zoom in shows a detailed view of the energy spectrum in the second topological region. (f) Density distributions of the two zero-energy edge modes for mz = 2.4 and mo = 1.7. Other parameters are ts = 0.95, and A = 32.