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One-dimensional quantum wires are considered as prospective elements for spin transport and manipulation in spintronics. We study spin dynamics in semiconductor GaAs-like nanowires with disorder and spin-orbit interaction by using a…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Carlos Echeverría-Arrondo , E. Ya. Sherman

Anderson localization of electron states on graphene lattice with diagonal and off-diagonal (OD) disorder in the absence of magnetic field is investigated by using the standard finite-size scaling analysis. In the presence of diagonal…

Disordered Systems and Neural Networks · Physics 2008-01-03 Shi-Jie Xiong , Ye Xiong

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 has been observed in various types of waves, such as matter waves, optical waves and acoustic waves. Here we reveal that the effect of Anderson localization can be also induced in metallic nonlinear nanoparticle arrays…

Optics · Physics 2016-07-29 Zhijie Mai , Fang Lin , Wei Pang , Haitao Xu , Suiyan Tan , Shenhe Fu , Yongyao Li

We analyse the topological transition and localization evolution of disordered two dimensional systems with non trivial topology based on bipartite lattices. Chern insulators with broken time reversal symmetry show non standard behavior for…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Eduardo V. Castro , M. Pilar López-Sancho , María A. H. Vozmediano

We rigorously analyse the correspondence between the one-dimensional standard Anderson model and a related classical system, the `kicked oscillator' with noisy frequency. We show that the Anderson localization corresponds to a parametric…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Tessieri , F. M. Izrailev

A short quasi-monochromatic wave packet incident on a semi-infinite disordered medium gives rise to a reflected wave. The intensity of the latter decays as a power law $1/t^{\alpha}$ in the long-time limit. Using the one-dimensional…

Disordered Systems and Neural Networks · Physics 2018-03-14 Sergey E. Skipetrov , Aritra Sinha

We study theoretically Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a random one-dimensional scalar potential. We focus explicitly on the effect of disorder correlations, considering a short-range…

Disordered Systems and Neural Networks · Physics 2019-09-11 Seulong Kim , Kihong Kim

The transfer matrix formalism is implemented in the form of the multiple collision technique to account for dissipative transmission processes by using complex potentials in several models of atomic chains. The absorption term is rigorously…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. M. Cervero , A. Rodriguez

We propose to observe Anderson localization of ultracold atoms in the presence of a random potential made of atoms of another species and trapped at the nodes of an optical lattice, with a filling factor less than unity. Such systems enable…

Other Condensed Matter · Physics 2009-11-10 U. Gavish , Y. Castin

Single-particle transport in disordered potentials is investigated on scales below the localization length. The dynamics on those scales is concretely analyzed for the 3-dimensional Anderson model with Gaussian on-site disorder. This…

Statistical Mechanics · Physics 2010-11-05 Robin Steinigeweg , Hendrik Niemeyer , Jochen Gemmer

The conductance of disordered nano-wires at T=0 is calculated in one-particle approximation by reducing the original multi-dimensional problem for an open bounded system to a set of exactly one-dimensional non-Hermitian problems for mode…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yu. V. Tarasov

We demonstrate that by considering disordered single-particle Hamiltonians (or their random matrix versions) on ultrametric spaces one can generate an interesting class of models exhibiting Anderson metal-insulator transition. We use the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. V. Fyodorov , A. Ossipov , A. Rodriguez

We report a new attractive critical point occurring in the Anderson localization scaling flow of symplectic models on fractals. The scaling theory of Anderson localization predicts that in disordered symplectic two-dimensional systems weak…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Doru Sticlet , Anton Akhmerov

Localization and delocalization of non-interacting quasiparticle states in a superconducting wire are reconsidered, for the cases in which spin-rotation symmetry is absent, and time-reversal symmetry is either broken or unbroken; these are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ilya A. Gruzberg , N. Read , Smitha Vishveshwara

We study Anderson localization of a one-dimensional quantum droplet in a speckle-like potential employing the generalized Gross-Pitaevskii equation. We compute the droplet width, density profiles, diffusion exponent and coefficient, and the…

Disordered Systems and Neural Networks · Physics 2025-12-09 Zohra Mehri , Abdeaali Boudjemaa

Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall effect, light propagation in…

Chaotic Dynamics · Physics 2015-10-06 Sergej Flach

Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness. Moving beyond traditional multi-impurity scenarios, we investigate…

Disordered Systems and Neural Networks · Physics 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali

Consider the 3D Anderson model with a zero mean and bounded i.i.d. random potential. Let $\lambda$ be the coupling constant measuring the strength of the disorder, and $\sigma(E)$ the self energy of the model at energy $E$. For any…

Mathematical Physics · Physics 2008-04-22 Alexander Elgart

We experimentally investigate spectral statistics in Anderson localization in two-dimensional amorphous disordered media. Intensity distributions captured over an ultrabroad wavelength range of $\sim 600$~nm and averaged over numerous…

Optics · Physics 2019-11-06 Sandip Mondal , Randhir Kumar , Martin Kamp , Sushil Mujumdar