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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…

Disordered Systems and Neural Networks · Physics 2017-11-17 O. S. Vershinina , E. A. Kozinov , T. V. Laptyeva , S. V. Denisov , M. V. Ivanchenko

We investigate the transition induced by disorder in a periodically-driven one-dimensional model displaying quantized topological transport. We show that, while instantaneous eigenstates are necessarily Anderson localized, the periodic…

Disordered Systems and Neural Networks · Physics 2020-01-01 Matteo M. Wauters , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro , Lorenzo Privitera

We perform a numerical study of Floquet topological insulators with temporal disorder to investigate the existence of quantized charge transport without Anderson localization. We first argue that in setups with temporal imperfections…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Lennard Berg , Andreas Alvermann , Holger Fehske

Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

We consider a quantum particle in a one-dimensional disordered lattice with Anderson localization, in the presence of multi-frequency perturbations of the onsite energies. Using the Floquet representation, we transform the eigenvalue…

Disordered Systems and Neural Networks · Physics 2016-06-15 H. Hatami , C. Danieli , J. D. Bodyfelt , S. Flach

We study the persistence of localization for a strongly disordered tight-binding Anderson model on the lattice $\mathbb{Z}^d$, periodically driven on each site. Under two different sets of conditions, we show that Anderson localization…

Mathematical Physics · Physics 2016-07-26 Raphael Ducatez , François Huveneers

We study a periodically driven central site coupled to a disordered environment. In comparison to the static model, transport features are either enhanced or reduced, depending on the frequency of the drive. We demonstrate this by analyzing…

Disordered Systems and Neural Networks · Physics 2019-07-17 Daniel Hetterich , Gabriel Schmitt , Lorenzo Privitera , Björn Trauzettel

We study Anderson localization in a discrete-time quantum map dynamics in one dimension with nearest-neighbor hopping strength $\theta$ and quasienergies located on the unit circle. We demonstrate that strong disorder in a local phase field…

Disordered Systems and Neural Networks · Physics 2023-06-28 Ihor Vakulchyk , Sergej Flach

We generalize the definition of localization length to disordered systems driven by a time-periodic potential using a Floquet-Green function formalism. We study its dependence on the amplitude and frequency of the driving field in a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Dario F. Martinez , Rafael A. Molina

We investigate the stationary and dynamical behavior of an Anderson localized chain coupled to a single central bound state. The coupling to the central site partially dilutes the Anderson localized peak towards the nearly resonant sites.…

Disordered Systems and Neural Networks · Physics 2017-09-20 Daniel Hetterich , Maksym Serbyn , Fernando Domínguez , Frank Pollmann , Björn Trauzettel

In models of hopping disorder in the absence of external fields and at the band center, the electrons are less localized in space than the standard exponential Anderson localization. A signature of this anomalous localization is the square…

Disordered Systems and Neural Networks · Physics 2020-05-20 Rafael A. Molina , Victor A. Gopar

The localization behavior of the Anderson model with anisotropic hopping integral t for weakly coupled planes and weakly coupled chains is investigated both numerically with the transfer matrix method and analytically within the…

Condensed Matter · Physics 2009-10-30 Qiming Li , C. M. Soukoulis , I. Zambetaki , E. N. Economou

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

We use dynamic coherent backscattering to study one of the Anderson mobility gaps in the vibrational spectrum of strongly disordered three-dimensional mesoglasses. Comparison of experimental results with the self-consistent theory of…

Disordered Systems and Neural Networks · Physics 2016-05-18 L. A. Cobus , S. E. Skipetrov , A. Aubry , B. A. van Tiggelen , A. Derode , J. H. Page

Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the…

Disordered Systems and Neural Networks · Physics 2012-04-16 Gabriel Lemarié , Hans Lignier , Dominique Delande , Pascal Szriftgiser , Jean Claude Garreau

We report on phenomenon of Anderson-type localization of walking solitons in optical lattices with random frequency modulation, manifested as dramatic enhancement of soliton trapping probability on lattice inhomogeneities with growth of the…

Optics · Physics 2009-11-11 Yaroslav V. Kartashov Victor A. Vysloukh

Anderson localization is ubiquitous in wavy systems with strong static and uncorrelated disorder. The delicate destructive interference underlying Anderson localization is usually washed out in the presence of temporal fluctuations or…

Disordered Systems and Neural Networks · Physics 2025-03-25 Stefano Longhi

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…

Disordered Systems and Neural Networks · Physics 2013-10-09 A. Hill , K. Ziegler

We study the strong disorder regime of Floquet topological systems in dimension two, that describe independent electrons on a lattice subject to a periodic driving. In the spectrum of the Floquet propagator we assume the existence of an…

Mathematical Physics · Physics 2019-06-26 Jacob Shapiro , Clément Tauber

Within the framework of tight binding models, aperiodic systems are mapped to a renormalized lattice with a dimer defect. In models exhibiting metal-insulator transition, the dimer acts like a resonant cavity and explains the existence of…

Condensed Matter · Physics 2007-05-23 Ignacio Gomez , Indubala I. Satija
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