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Localization of electromagnetic waves in disordered potentials is prevented by polarization terms, so only light scattering systems of dimensions $d=1$ and $2$ with scalar properties exhibit light localization. We here show that this result…

Optics · Physics 2020-01-03 Carlos E. Máximo , Noel A. Moreira , Robin Kaiser , Romain Bachelard

We present a perturbative approach to disordered systems in one spatial dimension that accesses the full range of phase disorder and clarifies the connection between localization and phase information. We consider a long chain of…

Disordered Systems and Neural Networks · Physics 2024-03-04 Adrian B. Culver , Pratik Sathe , Rahul Roy

Motivated by the link between Anderson localisation on high-dimensional graphs and many-body localisation, we study the effect of periodic driving on Anderson localisation on random trees. The time dependence is eliminated in favour of an…

Disordered Systems and Neural Networks · Physics 2021-03-31 Sthitadhi Roy , Roderich Moessner , Achilleas Lazarides

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the…

We consider two bidimensional random models characterised by the following features: a) their Hamiltonians are separable in polar coordinates and b) the random part of the potential depends either on the angular coordinate or on the radial…

Disordered Systems and Neural Networks · Physics 2023-02-14 Gabino Corona-Patricio , Ulrich Kuhl , Fabrice Mortessagne , Patrizia Vignolo , Luca Tessieri

We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical…

Disordered Systems and Neural Networks · Physics 2015-03-17 Jacob J. Krich , Alán Aspuru-Guzik

We study both analytically and numerically how the electronic structure and the transport properties of a two-dimensional disordered system are modified in the presence of resonances. The energy dependence of the density of states and the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Brahim Elattari , Tsampikos Kottos

Motivated by experimental progress in cold atomic systems, we use and advance Localisation Landscape Theory (LLT), to examine two-dimensional systems with point-like random scatterers. We begin by showing that exact eigenstates cannot be…

Quantum Gases · Physics 2021-11-23 Sophie S. Shamailov , Dylan J. Brown , Thomas A. Haase , Maarten D. Hoogerland

Bloch wavefunctions in crystals experience localization within the bulk when disorder is introduced, a phenomenon commonly known as Anderson localization. This effect is considered universal, being applicable to all types of waves, quantum…

Disorder-induced Anderson localization in quasiparticle transport is a challenging problem to address, even more so in the presence of dissipation as the symptoms of disorder-induced localization are very closely simulated by the absorption…

Optics · Physics 2018-11-21 M. Balasubrahmaniyam , Ajay Nahata , Sushil Mujumdar

Anderson localization of $p$-polarized waves and the Brewster anomaly phenomenon, which is the delocalization of $p$-polarized waves at a special incident angle, in randomly-stratified anisotropic media are studied theoretically for two…

Optics · Physics 2019-05-17 Kihong Kim , Seulong Kim

We study the quantum phase diagram of a three dimensional non-interacting Dirac semimetal in the presence of either quenched axial or scalar potential disorder, by calculating the average and the typical density of states as well as the…

Disordered Systems and Neural Networks · Physics 2015-08-21 J. H. Pixley , Pallab Goswami , S. Das Sarma

We study quantum transport in anisotropic 3D disorder and show that non rotation invariant correlations can induce rich diffusion and localization properties. For instance, structured finite-range correlations can lead to the inversion of…

Disordered Systems and Neural Networks · Physics 2012-09-17 Marie Piraud , Luca Pezzé , Laurent Sanchez-Palencia

It is well established that for non-interacting electrons, increasing disorder drives a metal into a gapless localized Anderson insulator. While in three dimensions a threshold in disorder must be crossed for the transition, in two…

Strongly Correlated Electrons · Physics 2015-06-15 Elias Lahoud , O. Nganba Meetei , K. B. Chaska , A Kanigel , Nandini Trivedi

It is commonly believed that Anderson localized states and extended states do not coexist at the same energy. Here we propose a simple mechanism to achieve the coexistence of localized and extended states in a band in a class of disordered…

Disordered Systems and Neural Networks · Physics 2019-03-06 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

Contrary to the theoretical predictions that all waves in two-dimensional disordered materials are localized, Anderson localization is observed only for sufficiently high frequencies in an isotropically jammed two-dimensional disordered…

Soft Condensed Matter · Physics 2021-03-10 Ling Zhang , Yinqiao Wang , Jie Zheng , Aile Sun , Xulai Sun , Yujie Wang , Walter Schirmacher , Jie Zhang

We demonstrate Anderson localisation of visible light on a chip and report quality factors exceeding highly engineered two-dimensional cavities. Our results reverse the trend, observed so far, of the quality of disorder-induced light…

Optics · Physics 2016-06-15 Tom Crane , Oliver J. Trojak , Luca Sapienza

We study the effect of magnetic scattering on transport in a system with strong structural disorder, using exact finite size calculation of the low frequency optical conductivity. At weak electron-spin coupling spin disorder leads to a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sanjeev Kumar , Pinaki Majumdar

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 in a two-dimensional ultracold Bose-gas has been demonstrated experimentally. Atoms were released within a dumbbell-shaped optical trap, where the channel of variable aspect ratio provided the only path for particles…

Quantum Gases · Physics 2021-12-22 Mojdeh S. Najafabadi , Daniel Schumayer , David A. W. Hutchinson