Disorder and interactions in Aharonov-Bohm cages

2001/03/29 by J. Vidal, Julien Vidal, P. Butaud +4 · 155 citations
Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Electron #Enhanced Data Rates for GSM Evolution #Field (mathematics) #Geometry #Magnetic field #Mathematics #Mechanism (biology) #Physics #Point (geometry) #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Telecommunications #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.64.155306

published in Physical review. B, Condensed matter 64(15) (American Physical Society) · 22 pages, 20 EPS figures

arxiv created 2001/03/29 · openalex publication_date 2001/09/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the effect of disorder and interactions on a recently proposed magnetic field induced localization mechanism. We show that both partially destroy the extreme confinement of the excitations occurring in the pure case and give rise to unusual behavior. We also point out the role of the edge states that allows for a propagation of the electrons in these systems.

Citations

• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Zur Theorie des Diamagnetismus von Leitungselektronen
• Transmission through quantum networks

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