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Anderson localization is a quantum phenomenon in which disorder localizes electronic wavefunctions. In this work, we propose a new approach to study Anderson localization based on the density matrix formalism. Drawing an analogy to the…

Disordered Systems and Neural Networks · Physics 2026-03-31 Ziyue Qi , Yi Zhang , Mingpu Qin , Hongming Weng , Kun Jiang

The discrete nature of the vibrational modes of an isolated nanometer-scale solid dramatically modifies its low-energy electron and phonon dynamics from that of a bulk crystal. However, nanocrystals are usually coupled--even if only…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kelly R. Patton , Michael R. Geller

We show that fabrication imperfections in silicon nitride photonic crystal waveguides can be used as a resource to efficiently confine light in the Anderson-localised regime and add functionalities to photonic devices. Our results prove…

Optics · Physics 2017-10-09 Oliver Joe Trojak , Tom Crane , Luca Sapienza

Phonons play a key role in the physical properties of materials, and have long been a topic of study in physics. While the effects of phonons had historically been considered to be a hindrance, modern research has shown that phonons can be…

The nanocrystallite have the finite number of the oscillation modes. Their number increases proportionally to a cube of the characteristic size. Thus the oscillation spectrum of nanocrystal becomes discrete, and the separate modes of…

Superconductivity · Physics 2010-12-21 V. G. Andreev , L. V. Kravchuk , S. G. Lebedev

We study, theoretically and numerically, a minimal model for phonons in a disordered system. For sufficient disorder, the vibrational modes of this classical system can become Anderson localized, yet this problem has received significantly…

Disordered Systems and Neural Networks · Physics 2013-06-26 Ariel Amir , Jacob J. Krich , Vincenzo Vitelli , Yuval Oreg , Yoseph Imry

The phenomenon of Anderson localization of waves in elastic systems is studied. We analyze this phenomenon in two different set of systems: disordered linear chains of harmonic oscillators and disordered rods which oscillate with torsional…

Classical Physics · Physics 2023-07-19 R. A. Mendez-Sanchez , L. Gutierrez , A. Morales , J. Flores , A. Diaz-de-Anda , G. Monsivais

The wave function of a non-relativistic particle in a periodic potential admits oscillatory solutions, the Bloch waves. In the presence of a random noise contribution to the potential the wave function is localized. We outline a new proof…

High Energy Physics - Theory · Physics 2015-05-13 Robert Brandenberger , Walter Craig

We propose a conceptually new framework to study the onset of Anderson localization in disordered systems. The idea is to expose waves propagating in a random scattering environment to a sequence of short dephasing pulses. The system…

Quantum Gases · Physics 2015-06-22 T. Micklitz , C. A. Müller , A. Altland

Localization due to disorder has been one of the most intriguing theoretical concepts evolved in condensed matter. Here, we expand the theory of localization by considering two types of disorder at the same time, namely the original…

Disordered Systems and Neural Networks · Physics 2023-03-03 Mouyang Cheng , Haoxiang Chen , Ji Chen

The discovery of localized plasmon polariton resonances has been pivotal in enabling tunability of the optical resonance. Recently, extensive research efforts have aimed to expand these achievements to other polaritonic states that exhibit…

We examine the onset of Anderson localization in three-dimensional systems with structural disorder in the form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of…

Disordered Systems and Neural Networks · Physics 2025-05-29 Sourav Bhattacharjee , Piotr Sierant , Marek Dudyński , Jan Wehr , Jakub Zakrzewski , Maciej Lewenstein

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 report an unambiguous phonon resonance effect originating from germanium nanoparticles embedded in silicon matrix. Our approach features the combination of phonon wave-packet method with atomistic dynamics and finite element method…

Computational Physics · Physics 2017-12-05 Lei Feng , Takuma Shiga , Haoxue Han , Shenghong Ju , Yuriy A. Kosevich , Junichiro Shiomi

Anderson localization transitions are a universal quantum phenomenon sensitive to the disorder and dimensionality of electronic systems. Over the past decades, this intriguing topic has inspired overwhelmingly more theoretical studies than…

Mesoscale and Nanoscale Physics · Physics 2024-10-31 Jinhao Cheng , Chen Wang , Wenxue He , Jiaojiao Wang , Yifan Pang , Fan Yang , Shuaishuai Ding , Hechen Ren , Wenping Hu

Random scattering of photons in disordered one-dimensional solids gives rise to an exponential suppression of transmission, which is known as Anderson localization. Here, we experimentally study Anderson localization in a superconducting…

Fundamental concepts in quantum physics and technological applications ranging from the detection of gravitational waves to the generation of stimulated Brillouin scattering rely on the interaction between the optical and the mechanical…

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 derive a general theory of effective properties in metasolids based on phononic crystals with low frequency resonances. We demonstrate that in general these structures need to be described by means of a frequency-dependent and non-local…

Materials Science · Physics 2015-12-09 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

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