2012/06/30 by Alberto Rodriguez, Alberto Rodríguez, Arunava Chakrabarti +1
Chemistry · Physics and Astronomy · #Anderson localization #Chemistry #Delocalized electron #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Random lasers and scattering media #Robustness (evolution) #Scattering #Semiconductor Quantum Structures and Devices #Statistical physics #Wave function #Work (physics) #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.86.085119
published as Phys. Rev. B 86, 085119-12 (2012) · 14 pages, 11 figures
arxiv created 2012/08/07 · openalex publication_date 2012/08/15 · arxiv updated 2012/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe how to engineer wave-function delocalization in disordered systems modeled by tight-binding Hamiltonians in d>1 dimensions. We show analytically that a simple product structure for the random on-site potential energies, together with suitably chosen hopping strengths, allows a resonant scattering process leading to ballistic transport along one direction, and a controlled coexistence of extended Bloch states and anisotropically localized states in the spectrum. We demonstrate that these features persist in the thermodynamic limit for a continuous range of the system parameters. Numerical results support these findings and highlight the robustness of the extended regime with respect to deviations from the exact resonance condition for finite systems. The localization and transport properties of the system can be engineered almost at will and independently in each direction. This study gives rise to the possibility of designing disordered potentials that work as switching devices and band-pass filters for quantum waves, such as matter waves in optical lattices.