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  1. Was this helpful?
  2. Jan 29, 2024Fractal lattices are self-similar structures with repeated patterns on different scales. As in other aperiodic lattices, the absence of translational symmetry can give rise to quantum localization effects. In contrast to low-dimensional disordered systems, co-existence of localized and extended states is possible in fractal structures, and can lead to subtle transport behavior. Here, we study ...
  3. Anomalous quantum transport in fractal lattices Abel Rojo-Franc`as,1,2,3 Priyanshu Pansari,4 Utso Bhattacharya,5,6 Bruno Juli´a-D´ıaz,2,3 and Tobias Grass1,7 1DIPC - Donostia International Physics Center, Paseo Manuel de Lardiz´abal 4, 20018 San Sebasti´an, Spain 2Departament de F´ısica Qu`antica i Astrof´ısica, Facultat de F´ısica, Universitat de Barcelona, E-08028 Barcelona, Spain
  4. semanticscholar.org

    Jan 29, 2024Fractal lattices are self-similar structures with repeated patterns on different scales. Quantum transport through such structures is subtle due to the possible co-existence of localized and extended states. Here, we study the dynamical properties of two fractal lattices, the Sierpiński gasket and the Sierpiński carpet. While the gasket exhibits sub-diffusive behavior, sub-ballistic ...
  5. bohrium.dp.tech

    Contrarily to classical fractals, we observe anomalous transport governed solely by the fractal dimension. In addition, the critical point at which there is a transition from normal to anomalous transport depends on the fractal geometry. Our experiment allows the verification of physical laws in a quantitative manner and reveals the transport ...
  6. ui.adsabs.harvard.edu

    Fractal lattices are self-similar structures with repeated patterns on different scales. As in other aperiodic lattices, the absence of translational symmetry can give rise to quantum localization effects. In contrast to low-dimensional disordered systems, co-existence of localized and extended states is possible in fractal structures, and can lead to subtle transport behavior.
  7. inspirehep.net

    Quantum transport through such structures is subtle due to the possible co-existence of localized and extended states. Here, we study the dynamical properties of two fractal lattices, the Sierpiński gasket and the Sierpiński carpet. While the gasket exhibits sub-diffusive behavior, sub-ballistic transport occurs in the carpet.
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