Fig. 3: Dimensional crossover topological phase diagram in the Shiba lattice.
From: Dimensional crossover of class D real-space topological invariants
The phase diagram is shown as a function of the chemical potential μ/t and the product of the magnetic moment and exchange coupling JS/t, for N = 20, and spin-orbit coupling strength α = 0.45t/l. The phase diagrams contain 31 × 31 points. Phase diagram (a), 1D spectral localizer gap for the chain (b), and 2D spectral localizer gap for the 2D island (c) for Δ = 1.2t at E = 0. The color code indicates the 2D local marker \(| {C}_{{{{\boldsymbol{\lambda }}}}}^{{{{\rm{L}}}}}|\) computed at the center of a circular island, and the 1D local marker z2,x computed at the center of a chain using the same parameters and only changing the geometry. The localizer gaps are similarly computed at the center of the 2D island and 1D chain. d–f Similar to a–c, except for Δ = 0.4t. Topological transitions not captured in the diagram can occur as the geometry changes from 2D to 1D. The spectral localizer calculations use κ = 0.05(t/l).
