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Metal-insulator transition in anisotropic disordered Anderson model with both topological and diagonal disorder is investigated numerically. For four sets of the model parameters we found the critical disorder and the critical exponent and…

无序系统与神经网络 · 物理学 2007-05-23 P. Markos

We perform a thorough and complete analysis of the Anderson localization transition on several models of random graphs with regular and random connectivity. The unprecedented precision and abundance of our exact diagonalization data (both…

无序系统与神经网络 · 物理学 2023-07-26 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio

We study the effect of disorder in a holographic superconductor by introducing a quasi-periodic chemical potential. When the condensation of the superconductor is sufficiently small compared with the strength of disorder, we find that there…

高能物理 - 理论 · 物理学 2014-03-05 Hua Bi Zeng

We study the properties of the spinor wavefunction in a strongly disordered environment on a two-dimensional lattice. By employing a transfer-matrix calculation we find that there is a transition from delocalized to localized states at a…

无序系统与神经网络 · 物理学 2013-10-09 A. Hill , K. Ziegler

Paper reviews recent numerical data for the conductance distribution of disordered systems in the critical regime and in the localized regime. Of particular interest is the non-analytical form of the critical conductance distribution in the…

介观与纳米尺度物理 · 物理学 2018-03-21 P. Markos

We study the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group…

强关联电子 · 物理学 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske

We study two coupled 3D lattices, one of them featuring uncorrelated on-site disorder and the other one being fully ordered, and analyze how the interlattice hopping affects the localization-delocalization transition of the former and how…

无序系统与神经网络 · 物理学 2020-04-20 Andre M. C. Souza , Guilherme M. A. Almeida , Eduardo R. Mucciolo

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…

Localization and delocalization of quantum diffusion in time-continuous one-dimensional Anderson model perturbed by the quasi-periodic harmonic oscillations of $M$ colors is investigated systematically, which has been partly reported by the…

无序系统与神经网络 · 物理学 2022-05-11 Hiroaki S. Yamada , Kensuke S. Ikeda

The Anderson transitions in a random magnetic field in three dimensions are investigated numerically. The critical behavior near the transition point is analyzed in detail by means of the transfer matrix method with high accuracy for…

无序系统与神经网络 · 物理学 2017-09-27 T. Kawarabayashi , B. Kramer , T. Ohtsuki

We report on the transition between an Anderson localized regime and a conductive regime in a 1D scattering system with correlated disorder. We show experimentally that when long-range correlations, in the form of a power-law spectral…

光学 · 物理学 2017-08-16 Wonjun Choi , Cheng Yin , Ian R. Hooper , William L. Barnes , Jacopo Bertolotti

Anderson localization is a universal phenomenon affecting non-interacting quantum particles in disorder. In three spatial dimensions it becomes particularly interesting to study because of the presence of a quantum phase transition from…

Our previous results [J.Phys.: Condens. Matter 14 (2002) 13777] dealing with the analytical solution of the two-dimensional (2-D) Anderson localization problem due to disorder is generalized for anisotropic systems (two different hopping…

无序系统与神经网络 · 物理学 2009-11-11 V. N. Kuzovkov , W. von Niessen

The localization length has been derived for one-dimensional bi-layered structures with random perturbations in the refractive indices for each type of layers. Main attention is paid to the comparison between conventional materials and…

无序系统与神经网络 · 物理学 2015-05-30 E. J. Torres-Herrera , F. M. Izrailev , N. M. Makarov

We study Anderson localization in two-dimensional systems with purely off-diagonal disorder. Localization lengths are computed by the transfer-matrix method and their finite-size and scaling properties are investigated. We find various…

无序系统与神经网络 · 物理学 2007-05-23 Andrzej Eilmes , Rudolf A. Roemer

We investigate light transport in three-dimensional disordered media composed of irregular dielectric particles using large scale full-wave simulations. For subwavelength particles with size parameter $kr \approx 1$ and high refractive…

光学 · 物理学 2026-04-29 Yevgen Grynko , Dustin Siebert , Jan Sperling , Jens Förstner

We study numerically the critical behavior at the localization transition in the Anderson model on infinite Bethe lattice and on random regular graphs. The focus is on the case of coordination number $m+1 = 3$, with a box distribution of…

无序系统与神经网络 · 物理学 2019-06-12 K. S. Tikhonov , A. D. Mirlin

Localization of electronic states in disordered thin layered systems with b layers is studied within the Anderson model of localization using the transfer-matrix method and finite-size scaling of the inverse of the smallest Lyapunov…

无序系统与神经网络 · 物理学 2007-05-23 V. Z. Cerovski , R. K. Brojen Singh , M. Schreiber

Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the…

无序系统与神经网络 · 物理学 2015-03-19 Alexander Croy , Philipp Cain , Michael Schreiber

Anderson localization problem for non-interacting two-dimensional electron gas subject to strong magnetic field, disordered potential and spin-orbit coupling is studied numerically on a square lattice. The nature of the corresponding…

介观与纳米尺度物理 · 物理学 2014-11-19 C. Wang , Ying Su , Y. Avishai , Yigal Meir , X. R. Wang