1998/06/05 by J. Vidal, Julien Vidal, Rémy Mosseri +3 · 7 citations
Materials Science · Mathematics · Physics and Astronomy · #Bounded function #Condensed matter physics #Electron #Electronic structure #Magnetic field #Magnetic flux #Mathematical analysis #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum mechanics #Quasicrystal #Quasicrystal Structures and Properties #Quasiperiodic function #Statistical physics #Tight binding #Wave packet #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.81.5888
published as Phys. Rev. Lett. 81, 5888 (1998) · 4 pages Latex, 3 eps figures, 1 ps figure
arxiv created 1998/06/05 · openalex publication_date 1998/12/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present an extreme localization mechanism induced by a magnetic field for tight-binding electrons in two-dimensional structures. This original phenomenon is investigated for a large class of tilings (periodic, quasiperiodic, or random). We are led to introduce Aharonov-Bohm cages that are defined as the set of sites eventually visited by a wave packet that can, for particular values of the magnetic flux, be bounded. We finally discuss the quantum dynamics which exhibit an uncommon pulsating behavior.