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Strongly interacting quantum systems subject to quenched disorder exhibit intriguing phenomena such as glassiness and many-body localization. Theoretical studies have mainly focused on disorder in the form of random potentials, while many…

Quantum Physics · Physics 2022-11-22 Adrian Braemer , Titus Franz , Matthias Weidemüller , Martin Gärttner

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

We investigate the effect of disorder on the propagation of surface plasmon polaritons in arrays of evanescently coupled dielectric loaded surface plasmon polariton waveguides. Diagonal disorder is implemented by randomly varying the…

Optics · Physics 2017-06-28 Zlata Cherpakova , Felix Bleckmann , Tim Vogler , Stefan Linden

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

Dyson insulators with random hoppings in a lattice approach localization faster compared to the usual Anderson insulators with site disorder. For even-$N$ lattice sites the Dyson insulators mimic topological insulators with a pseudo-gap at…

Disordered Systems and Neural Networks · Physics 2020-07-09 G. T. Stamatiou , S. N. Evangelou

We show that, in contrast to immediate intuition, Anderson localization of noninteracting particles induced by a disordered potential in free space can increase (i.e., the localization length can decrease) when the particle energy…

Quantum Gases · Physics 2012-06-19 Marie Piraud , Alain Aspect , Laurent Sanchez-Palencia

We undertake an exact numerical study of the effects of disorder on the Anderson localization of electronic states in graphene. Analyzing the scaling behaviors of inverse participation ratio and geometrically averaged density of states, we…

Mesoscale and Nanoscale Physics · Physics 2011-05-12 Yun Song , Hongkang Song , Shiping Feng

We study localization properties of the eigenstates and wave transport in one-dimensional system consisting of a set of barriers/wells of fixed thickness and random heights. The inherent peculiarity of the system resulting in the enhanced…

Disordered Systems and Neural Networks · Physics 2015-06-16 I. F. Herrera-Gonzalez , F. M. Izrailev , N. M. Makarov

We calculate the frequency-dependent mobility of the Holstein polaron in one dimension near adiabatic limit using the method based on dynamical quantum tipicality, as well as the quantum-classical method. The agreement between fully quantum…

Strongly Correlated Electrons · Physics 2025-05-09 Petar Mitrić , Vladimir Dobrosavljević , Darko Tanasković

We present wave transport experiments in hyperuniform disordered arrays of cylinders with high dielectric permittivity. Using microwaves, we show that the same material can display transparency, photon diffusion, Anderson localization, or a…

Disordered Systems and Neural Networks · Physics 2020-10-16 Geoffroy J. Aubry , Luis S. Froufe-Pérez , Ulrich Kuhl , Olivier Legrand , Frank Scheffold , Fabrice Mortessagne

We investigate the one-dimensional propagation of waves in the Anderson localization regime, for a single-mode, surface disordered waveguide. We make use of both an analytical formulation and rigorous numerical simulation calculations. The…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. A. Sanchez-Gil , V. Freilikher

Anderson localization has been observed for a variety of media, including ultracold atomic gases with speckle disorder in one and three dimensions. However, observation of Anderson localization in a two-dimensional geometry for ultracold…

Quantum Gases · Physics 2015-08-26 William Morong , Brian DeMarco

We discuss the conditions under which an anomaly occurs in conductance and localization length of Anderson model on a lattice. Using the ladder hamiltonian and analytical calculation of average conductance we find the set of resonance…

Disordered Systems and Neural Networks · Physics 2014-06-17 Reza Sepehrinia

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

The influence of substitutional disorder on the transport properties of heavy-fermion systems is investigated. We extend the dynamical mean-field theory treatment of the periodic Anderson model (PAM) to a coherent-potential approximation…

Strongly Correlated Electrons · Physics 2008-03-25 Claas Grenzebach , Frithjof B. Anders , Gerd Czycholl , Thomas Pruschke

The interplay of topology and disorder in quantum dynamics has recently attracted significant attention across diverse platforms, including solid-state devices, ultracold atoms, and photonic systems. Here, we report on a topological…

We investigate experimentally the light evolution inside a two-dimensional finite periodic array of weakly- coupled optical waveguides with a disordered boundary. For a completely localized initial condition away from the surface, we find…

We examine the interplay between disorder and fractionality in a one-dimensional tight-binding Anderson model. In the absence of disorder, we observe that the two lowest energy eigenvalues detach themselves from the bottom of the band, as…

Disordered Systems and Neural Networks · Physics 2022-05-25 Mario I. Molina

We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials. To assess the nature of the…

Disordered Systems and Neural Networks · Physics 2014-08-05 Eric C. Andrade , Mark Steudtner , Matthias Vojta

We study the Anderson localization in systems, in which transport channels with rather different properties are coupled together. This problem arises naturally in systems of hybrid particles, such as exciton-polaritons, where it is not…

Disordered Systems and Neural Networks · Physics 2013-04-01 Hong-Yi Xie , M. Müller
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