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We investigate the anomalous transport in optically-induced potentials that are random in both space and time. We find that the time variation destroys Anderson localization, replacing it by transport that is faster than diffusion, which in…

Disordered Systems and Neural Networks · Physics 2021-09-17 Yevgeny Krivolapov , Liad Levi , Shmuel Fishman , Mordechai Segev , Michael Wilkinson

The impact of local reflection symmetry on wave localization and transport within finite disordered chains is investigated. Local symmetries thereby play the role of a spatial correlation of variable range in the finite system. We find…

Disordered Systems and Neural Networks · Physics 2020-08-21 C. V. Morfonios , M. Röntgen , F. K. Diakonos , P. Schmelcher

We have studied the peculiarities of electron transport in one-dimensional (1D) disordered chain at the presence of correlations between on-site interaction and tunneling integrals. In the considered models the disorder in host-lattice…

Disordered Systems and Neural Networks · Physics 2025-07-01 V. Slavin , Y. Savin , M. Klimov , M. Kiyashko

Eigenfunctions of 1d disordered Hamiltonian with constant imaginary vector potential are investigated. Even within the domain of complex eigenvalues the wave functions are shown to be strongly localized. However, this localization is of a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov

In this work, we discuss a non-Hermitian system described via a one-dimensional single-particle tight-binding model, where the non-Hermiticity is governed by random nearest-neighbour tunnellings, such that the left-to-right and…

Disordered Systems and Neural Networks · Physics 2026-01-19 Aitijhya Saha , Debraj Rakshit

The impact of disorder on wave transport has been extensively studied in Hermitian systems, where static randomness gives rise to Anderson localization. In non-Hermitian lattices, static disorder can lead to peculiar transport features,…

Disordered Systems and Neural Networks · Physics 2025-12-01 I. Komis , E. T. Kokkinakis , K. G. Makris , E. N. Economou

Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

Unidirectional and robust transport is generally observed at the edge of two- or three-dimensional quantum Hall and topological insulator systems. A hallmark of these systems is topological protection, i.e. the existence of propagative edge…

Mesoscale and Nanoscale Physics · Physics 2016-01-15 Stefano Longhi , Davide Gatti , Giuseppe Della Valle

We study a one-dimensional model of disordered electrons (also relevant for random spin chains), which exhibits a delocalisation transition at half-filling. Exact probability distribution functions for the Wigner time and transmission…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Steiner , Yang Chen , M. Fabrizio , Alexander O. Gogolin

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

We present first results for the transmittance, T, through a 1D disordered system with an imaginary vector potential, ih, which provide a new analytical criterion for a delocalization transition in the model. It turns out that the position…

Disordered Systems and Neural Networks · Physics 2009-10-31 Igor V. Yurkevich , Igor V. Lerner

Anderson localisation is an important phenomenon arising in many areas of physics, and here we explore it in the context of quantum information devices. Finite dimensional spin chains have been demonstrated to be important devices for…

Quantum Physics · Physics 2016-09-19 R. Ronke , M. P. Estarellas , I. D'Amico , T. P. Spiller , T. Miyadera

Based on a selfconsistent theory of localization we study the electron transport properties of a disordered system in the framework of the Anderson model on a Bethe lattice. In the calculation of the dc conductivity we separately discuss…

Strongly Correlated Electrons · Physics 2009-11-10 A. Alvermann , F. X. Bronold , H. Fehske

We study numerically an electronic transport in strongly anisotropic weakly disorderd two-dimensional systems. We find that the conductance distribution is gaussian but the conductance fluctuations increase when anisotropy becomes stronger.…

Condensed Matter · Physics 2009-10-31 Peter Markos

We numerically investigate the transport properties of disordered interacting electrons in three dimensions in the metallic as well as in the insulating phases. The disordered many-particle problem is modeled by the quantum Coulomb glass…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Thomas Vojta , Frank Epperlein

Transport of quantum or classical waves in open systems is known to be strongly affected by non-Hermitian terms that arise from an effective description of system-enviroment interaction. A simple and paradigmatic example of non-Hermitian…

Quantum Physics · Physics 2017-02-01 Stefano Longhi

We investigate the gradual emergence of the disorder-related phenomena in intermediate regimes between a deterministic periodic Bragg grating and a fully random grating and highlight two critical properties of partially disordered Bragg…

Optics · Physics 2023-07-19 Arash Mafi

We study the properties of the normal modes of a chain of Josephson junctions in the simultaneous presence of disorder and absorption. We consider the superconducting regime of small phase fluctuations and focus on the case where the…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 D. M. Basko , F. W. J. Hekking

We study the interplay between disorder and light-matter coupling by considering a disordered one-dimensional chain of lossy dipoles coupled to a multimode optical cavity, through a microscopically derived Hamiltonian. Such a system,…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Thomas F. Allard , Guillaume Weick

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…