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The Anderson delocalization-localization transition is studied in multilayered systems with randomly placed interlayer bonds of density $p$ and strength $t$. In the absence of diagonal disorder (W=0), following an appropriate perturbation…

无序系统与神经网络 · 物理学 2009-10-31 S. N. Evangelou , Shi-Jie Xiong , P. Markov , D. E. Katsanos

Disorder in a 1D quantum lattice induces Anderson localization of the eigenstates and drastically alters transport properties of the lattice. In the original Anderson model, the addition of a periodic driving increases, in a certain range…

无序系统与神经网络 · 物理学 2017-11-17 O. S. Vershinina , E. A. Kozinov , T. V. Laptyeva , S. V. Denisov , M. V. Ivanchenko

Recent advances in transport properties measurements of disordered materials and lattice simulations, using superconducting qubits, have rekindled interest in Anderson localization, motivating our study of highly disordered quantum…

量子物理 · 物理学 2024-06-03 Ilia Tutunnikov , Jianshu Cao

We report Anderson localization in two-dimensional optical waveguide arrays with disorder in waveguide separation introduced along one axis of the array, in an uncorrelated fashion for each waveguide row. We show that the anisotropic nature…

Turing patterns emerge from a spatially uniform state following a linear instability driven by diffusion. Features of the eventual pattern (stabilized by non-linearities) are already present in the initial unstable modes. On a uniform flat…

软凝聚态物质 · 物理学 2019-01-31 John R. Frank , Jemal Guven , Mehran Kardar , Henry Shackleton

We consider ultracold atoms in 2D-disordered optical potentials and calculate microscopic quantities characterizing matter wave quantum transport in the non-interacting regime. We derive the diffusion constant as function of all relevant…

介观与纳米尺度物理 · 物理学 2007-05-23 R. C. Kuhn , C. Miniatura , D. Delande , O. Sigwarth , C. A. Mueller

Waves fail to propagate in random media. First predicted for quantum particles in the presence of a disordered potential, Anderson localization has been observed also in classical acoustics, electromagnetism and optics. Here, for the first…

In this paper we present and discuss our results for the conductance and conductance fluctuations of narrow quantum wires with two types of disorder: boundary roughness (hard wall confining potential) and islands of strongly scattering…

凝聚态物理 · 物理学 2009-10-22 K Nikolić , A MacKinnon

We examine the onset of Anderson localization in three-dimensional systems with structural disorder in the form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of…

无序系统与神经网络 · 物理学 2025-05-29 Sourav Bhattacharjee , Piotr Sierant , Marek Dudyński , Jan Wehr , Jakub Zakrzewski , Maciej Lewenstein

We experimentally investigate the evolution of linear and nonlinear waves in a realization of the Anderson model using disordered one dimensional waveguide lattices. Two types of localized eigenmodes, flat-phased and staggered, are directly…

Anderson localization was discovered 50 years ago to describe the propagation of electrons in the presence of disorder. The main prediction back then, was the existence of disorder induced localized states, which do not conduct electricity.…

无序系统与神经网络 · 物理学 2015-05-13 M. Hilke

The realization that electron localization in disordered systems (Anderson localization) is ultimately a wave phenomenon has led to the suggestion that photons could be similarly localized by disorder. This conjecture attracted wide…

无序系统与神经网络 · 物理学 2017-05-10 A. A. Chabanov , M. Stoytchev , A. Z. Genack

We study a system of two coupled kicked rotors, both classically and quantum mechanically, for a wide range of coupling parameters. This was motivated by two published reports, one of which reported quantum localization, while the other…

量子物理 · 物理学 2009-10-15 Borzumehr Toloui , Leslie E. Ballentine

Weak localization and weak anti-localization are quantum interference effects in quantum transport in a disordered electron system. Weak anti-localization enhances the conductivity and weak localization suppresses the conductivity with…

介观与纳米尺度物理 · 物理学 2014-09-05 Hai-Zhou Lu , Shun-Qing Shen

We find that Anderson localization ceases to exist when a random medium begins to move, but another type of fundamental quantum effect, Planckian diffusion $D = \alpha\hbar/m$, rises to replace it, with $\alpha $ of order of unity.…

量子物理 · 物理学 2024-12-02 Yubo Zhang , Anton M. Graf , Alhun Aydin , Joonas Keski-Rahkonen , Eric J. Heller

We report on the dynamics of a soliton propagating on the surface of a fluid in a 4-m-long canal with a random or periodic bottom topography. Using a full space-and-time resolved wavefield measurement, we evidence, for the first time…

流体动力学 · 物理学 2024-12-31 Guillaume Ricard , Eric Falcon

We study transport within a spatially heterogeneous one-dimensional quantum walk with a combination of hierarchical and random barriers. Recent renormalization group calculations for a spatially disordered quantum walk with a regular…

量子物理 · 物理学 2022-06-09 Richa Sharma , Stefan Boettcher

We theoretically investigate the effects of atomic defect related short-range disorders and electron-electron interactions on Anderson type localization and the magnetic properties of hexagonal armchair graphene quantum dots using an…

介观与纳米尺度物理 · 物理学 2018-08-01 A. Altıntaş , A. D. Güçlü

The phenomenon of localization usually happens due to the existence of disorder in a medium. Nevertheless, certain quantum systems allow dynamical localization solely due to the nature of internal interactions. We study a discrete time…

量子物理 · 物理学 2021-02-24 B. Danacı , İ. Yalçınkaya , B. Çakmak , G. Karpat , S. P. Kelly , A. L. Subaşı

We report on a numerical study of quantum transport in disordered two dimensional graphene and graphene nanoribbons. By using the Kubo and the Landauer approaches, transport length scales in the diffusive (mean free path, charge mobilities)…

介观与纳米尺度物理 · 物理学 2011-05-17 Aurelien Lherbier , Blanca Biel , Yann-Michel Niquet , Stephan Roche