arxiv5/19/2026, 2:38:13 AM
Fractal Lattices Bridge the Gap Between 2D and 3D Anderson Localization with Tunable Spectral DimensionThis paper introduces a family of 3D fractal lattices with continuously tunable spectral dimension d_s ∈ [2, 3], enabling systematic study of Anderson localization across non-integer dimensions — including the lower critical dimension d_s = 2. Using large-scale finite-size scalin…