Fig. 3: Verification of scalable non-Hermitian skin modes in lattice models with complex-energy fractal braids. | Communications Physics

Fig. 3: Verification of scalable non-Hermitian skin modes in lattice models with complex-energy fractal braids.

From: Topological fractal braiding of non-Hermitian bands

Fig. 3

a The calculated complex energy spectrum for the finite lattice model (100 units) with first-generation (l = 1) under PBCs and OBCs. The red points indicate the energy spectrum under OBCs, collapsing within the PBC spectrum. Other parameters are set as β = 2 and N = 3. b The calculated eigenvectors for a finite system with first-generation (l = 1) under OBCs, illustrating left-localized skin modes for energies within the range of [-1, -0.06] and right-localized skin modes for energies in the range of [0.06, 1.0], with Bloch states in the range of [-0.06, 0.06]. c. Energy spectra for systems with second-generation (l = 2) fractals under periodic and open boundary conditions. (d) The calculated eigenvectors for a finite system with l = 2 under OBCs.

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