In tunable 3D fractal lattices with spectral dimension ds from 2 to 3, the Anderson transition critical disorder increases from 0 to 16.6 and the critical exponent decreases inversely with ds.
Our work establishes tunable fractal lattices as a versatile platform for investigating localization phenom- ena beyond conventional integer-dimensional systems
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Anderson Transition and Mobility Edges in a Family of 3D Fractal Lattices
In tunable 3D fractal lattices with spectral dimension ds from 2 to 3, the Anderson transition critical disorder increases from 0 to 16.6 and the critical exponent decreases inversely with ds.