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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Experimental observation of coexisting extended, localized, and critical states in a quasiperiodic Floquet-modulated orbital optical lattice using ultracold atoms.
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.
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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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.
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Observation of a tripartite quantum phase for coexisting extended, localized, and critical states
Experimental observation of coexisting extended, localized, and critical states in a quasiperiodic Floquet-modulated orbital optical lattice using ultracold atoms.
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Engineering Anderson Localization in Arbitrary Dimensions with Interacting Quasiperiodic Kicked Bosons
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.
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Non-Hermitian pseudo mobility edge in a coupled chain system
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.