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We prove Anderson localization in a disordered photonic crystal waveguide by measuring the ensemble-averaged localization length which is controlled by the dispersion of the photonic crystal waveguide. In such structures, the localization…

Optics · Physics 2015-05-18 P. D. Garcia , S. Smolka , S. Stobbe , P. Lodahl

Andersons groundbreaking discovery that the presence of stochastic imperfections in a crystal may result in a sudden breakdown of conductivity revolutionized our understanding of disordered media. After stimulating decades of lively…

Wave localization is ubiquitous in disordered media -- from amorphous materials, where soft-mode localization is closely related to materials failure, to semi-conductors, where Anderson localization leads to metal-insulator transition. Our…

Soft Condensed Matter · Physics 2020-07-30 Tingtao Zhou , Dimitrios Fraggedakis , Fan Wang

Disorder plays a crucial role in many systems particularly in solid state physics. However, the disorder in a particular system can usually not be chosen or controlled. We show that the unique control available for ultracold atomic gases…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Schulte , S. Drenkelforth , J. Kruse , R. Tiemeyer , K. Sacha , J. Zakrzewski , M. Lewenstein , W. Ertmer , J. J. Arlt

Strong localization of light in three-dimensional disordered dielectric systems remains challenging to establish because it requires extremely strong recurrent scattering, while the long-lived localized contribution can be weak and masked…

Optics · Physics 2026-05-26 Yevgen Grynko , Jens Förstner

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

We study the interaction among dispersion, nonlinearity, and disorder effects in the context of wave transmission through a discrete periodic structure, subjected to continuous harmonic excitation in its stop band. We consider a damped…

Pattern Formation and Solitons · Physics 2025-10-20 Behrooz Yousefzadeh , A. Srikantha Phani

Anderson localization is the ubiquitous phenomenon of inhibition of transport of classical and quantum waves in a disordered medium. In dimension one, it is well known that all states are localized, implying that the distribution of an…

Disordered Systems and Neural Networks · Physics 2022-06-14 Clément Hainaut , Jean-François Clément , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

Anderson localization is a consequence of coherent interference of multiple scattering events in the presence of disorder, which leads to an exponential suppression of the transmission. The decay of the transmission is typically probed at a…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hichem Eleuch , Michael Hilke , Richard MacKenzie

Electrons at the Fermi energy may lose their ability to propagate to long distances in certain random media. We use Green functions and solve parquet equations for the non-local electron-hole vertex in high spatial dimensions to describe…

Disordered Systems and Neural Networks · Physics 2025-05-12 Václav Janiš

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…

Strongly Correlated Electrons · Physics 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske

Anderson localization was discovered 50 years ago to describe the propagation of electrons in the presence of disorder. The main prediction back then, was the existence of disorder induced localized states, which do not conduct electricity.…

Disordered Systems and Neural Networks · Physics 2015-05-13 M. Hilke

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…

High Energy Physics - Theory · Physics 2014-03-05 Hua Bi Zeng

Understanding the ability of particles to maneuver through disordered environments is a central problem in innumerable settings, from active matter and biology to electronics. Macroscopic particles ultimately exhibit diffusive motion when…

Fluid Dynamics · Physics 2024-09-18 Abel J. Abraham , Stepan Malkov , Frane A. Ljubetic , Matthew Durey , Pedro J. Sáenz

Waves fail to propagate in random media. First predicted for quantum particles in the presence of a disordered potential, Anderson localization has been observed also in classical acoustics, electromagnetism and optics. Here, for the first…

Localization of wavefunctions is arguably the most familiar effect of disorder in quantum systems. It has been recently argued [[V. Khemani, R. Nandkishore, and S. L. Sondhi, Nature Physics, 11, 560 (2015)] that, contrary to naive…

Disordered Systems and Neural Networks · Physics 2020-04-15 Z. Ovadyahu

Anderson localization is a single particle localization phenomena in disordered media that is accompanied by an absence of diffusion. Spin-orbit coupling (SOC) describes an interaction between a particle's spin and its momentum that…

Quantum Gases · Physics 2020-09-23 Y. Yue , C. A. R. Sá de Melo , I. B. Spielman

Recent advances in transport properties measurements of disordered materials and lattice simulations, using superconducting qubits, have rekindled interest in Anderson localization, motivating our study of highly disordered quantum…

Quantum Physics · Physics 2024-06-03 Ilia Tutunnikov , Jianshu Cao

Hyperuniform disordered photonic materials (HDPM) are spatially correlated dielectric structures with unconventional optical properties. They can be transparent to long-wavelength radiation while at the same time have isotropic band gaps in…

Using the vanishing of the typical polaron tunneling rate as an indicator of the breakdown of itinerancy, we study the localization of polaron states in a generic model for a disordered polaronic material. We find that extremely small…

Strongly Correlated Electrons · Physics 2015-06-24 Franz X. Bronold , Holger Fehske