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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

One of the most intriguing phenomena in physics is the localization of waves in disordered media. This phenomenon was originally predicted by Anderson, fifty years ago, in the context of transport of electrons in crystals. Anderson…

Disordered Systems and Neural Networks · Physics 2015-02-26 G. Roati , C. D'Errico , L. Fallani , M. Fattori , C. Fort , M. Zaccanti , G. Modugno , M. Modugno , M. Inguscio

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

Anderson localization is a universal interference phenomenon occurring when a wave evolves through a random medium and it has been observed in a great variety of physical systems, either quantum or classical. The recently developed…

Disordered Systems and Neural Networks · Physics 2022-11-30 David Colas , Cédric Bellis , Bruno Lombard , Régis Cottereau

Using a quantum map version of one-dimensional Anderson model, the localization-delocalization transition of quantum diffusion induced by coherent dynamical perturbation is investigated in comparison with quantum standard map. Existence of…

Disordered Systems and Neural Networks · Physics 2016-01-20 Hiroaki S. Yamada , Fumihiro Matsui , Kensuke S. Ikeda

This paper studies the transport of light for different incidence angles in a strongly disordered optical medium composed by core-shell nanoparticles (TiO2@Silica) suspended in ethanol solution. A decrease of optical conductance and an…

We study theoretically Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a random one-dimensional scalar potential. We focus explicitly on the effect of disorder correlations, considering a short-range…

Disordered Systems and Neural Networks · Physics 2019-09-11 Seulong Kim , Kihong Kim

Graphene has opened new avenues of research in quantum transport, with potential applications for coherent electronics. Coherent transport depends sensitively on scattering from microscopic disorder present in graphene samples: electron…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jesse Berezovsky , Robert M Westervelt

Quantum interference of electrons in disordered conductors is a sensitive probe of the internal structure of quasiparticles, revealing universal signatures of symmetry through weak localization (WL) and weak antilocalization (WAL). While…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Arpan Gupta , Gargee Sharma

We investigate the effect of coupling between translational and internal degrees of freedom of composite quantum particles on their localization in a random potential. We show that entanglement between the two degrees of freedom weakens…

Quantum Physics · Physics 2021-10-13 Fumika Suzuki , Mikhail Lemeshko , Wojciech H. Zurek , Roman V. Krems

The angle coordinate of the Quantum Kicked Rotator problem is treated as if it were an extended coordinate. A new mechanism for destruction of coherence by noise is analyzed using both heuristic and formal approach. Its effectiveness…

chao-dyn · Physics 2007-05-23 Doron Cohen

Anderson localization is related to exponential localization of a particle in the configuration space in the presence of a disorder potential. Anderson localization can be also observed in the momentum space and corresponds to quantum…

Atomic Physics · Physics 2017-06-07 Krzysztof Giergiel , Krzysztof Sacha

We show that the enhancement of backscattering responsible for the weak localization is accompanied by reduction of the scattering in other directions. A simple quasiclassical interpretation of this phenomenon is presented in terms of a…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii

The existence of Anderson localization, characterized by vanishing diffusion due to strong disorder, has been demonstrated in numerous ways. A systematic approach based on the Anderson quantum model of the Fermi gas in random lattices that…

Disordered Systems and Neural Networks · Physics 2026-03-26 Václav Janiš

Electron transport through disordered quasi one-dimensional quantum systems is studied. Decoherence is taken into account by a spatial distribution of virtual reservoirs, which represent local interactions of the conduction electrons with…

Quantum Physics · Physics 2014-02-06 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

Studies of angle-dependent magnetoresistance oscillations (AMRO) in the interlayer conductivity of layered metals have generally considered semi-classical electron transport. We consider a quantum correction to the semi-classical…

Mesoscale and Nanoscale Physics · Physics 2018-09-21 Malcolm P. Kennett , Ross. H. McKenzie

Whether the Anderson localization can survive from the weak enough nonlinear interaction is still an open question. In this Letter, we study the effect of nonlinear interaction on disordered chain based on the wave turbulence theory. It is…

Statistical Mechanics · Physics 2020-10-13 Wang Zhen , Fu Weicheng , Zhang Yong , Zhao Hong

Anderson localization of light is a fundamental emergent phenomenon in disordered systems. In arrays of coupled waveguides, it suppresses transport and causes photons to remain localized near the excitation site as coupling disorder…

Disorder can fundamentally modify the transport properties of a system. A striking example is Anderson localization, suppressing transport due to destructive interference of propagation paths. In inhomogeneous many-body systems, not all…

The quantum metric is a fundamental ingredient of band quantum geometry and has recently at tracted intense interest, with most of its transport signatures appearing in the intrinsic second order nonlinear conductivity. In the clean limit,…

Disordered Systems and Neural Networks · Physics 2026-04-23 Bo Yin , Zhijun Wang , Quansheng Wu
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