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.
Abrahams , author P
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First experimental demonstration of 3D Anderson localization of microwaves in disordered metal aggregates, distinguished from diffusion via scaling analysis of transmitted beam width.
Experimental observation of coexisting extended, localized, and critical states in a quasiperiodic Floquet-modulated orbital optical lattice using ultracold atoms.
On the Bethe lattice the LLT percolation transition is mean-field while the Anderson transition is not, showing LLT reproduces some low-disorder features but fails to capture quantum critical properties.
Simulations of dense 3D dielectric disorder yield converging signatures of resolved Anderson localization through late-time transmission, spectral, and near-field analysis.
Interactions and quasiperiodic driving in the Lieb-Liniger kicked-boson model generate synthetic dimensions that realize Anderson localization and its critical behavior in up to four effective dimensions.
Kink scattering of phonons, effective even in the long-wavelength limit, causes thermal conductivity to drop with chain length for random orientations, explaining alignment sensitivity in polymers.
Coupling a skin-localized non-Hermitian chain to a delocalized chain induces a pseudo mobility edge in complex energy that separates localized and extended states, with a quantized winding number characterizing transitions under mixed boundary conditions.
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