2009/06/30 by Rabah Benhenni, Khaled Senouci, Nouredine Zekri +2 · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Conductance #Conductance quantum #Constructive #Distribution (mathematics) #Gaussian #Laser #Mathematical analysis #Mathematics #Mesoscopic physics #Phase transition #Physics #Probability distribution #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Quantum point contact #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1016/j.physa.2009.11.020
published in Physica A Statistical Mechanics and its Applications 389(5), 1002-1008 (Elsevier BV) · 19 pages, 9 Figures
openalex publication_date 2009/11/18 · arxiv created 2009/12/16 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A simple Kronig-Penney model for one-dimensional (1D) mesoscopic systems with δ peak potentials is used to study numerically the influence of a spatial disorder on the conductance fluctuations and distribution at different regimes. We use the Levy laws to investigate the statistical properties of the eigenstates. We found the possibility of an Anderson transition even in 1D meaning that the disorder can also provide constructive quantum interferences. We found at this transition that the conductance probability distribution has a system-size independent shape with large fluctuations in good agreement with previous works. In these 1D systems, the metallic phase is well characterized by a Gaussian conductance distribution. Indeed, the results for the conductance distribution are in good agreement with the previous works in 2D and 3D systems for other models.