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We determine the statistical properties of wave functions in disordered quantum systems by exact diagonalization of one-, two- and quasi-one dimensional tight-binding Hamiltonians. In the quasi-one dimensional case we find that the tails of…

Disordered Systems and Neural Networks · Physics 2015-06-24 V. Uski , B. Mehlig , R. A. Römer , M. Schreiber

Diffuse, multiple-scattered waves can be very efficient for information transfer through disordered media, provided that antenna arrays are used for both transmission and reception of signals. Information capacity C of a communication…

Data Analysis, Statistics and Probability · Physics 2007-05-23 S. E. Skipetrov

We analyse the single-mode transmission of microwaves in a guide with internal random structure. The waveguide contains scatterers characterised by random heights and positions, corresponding to compositional and structural disorder. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 O. Dietz , U. Kuhl , J. C. Hernández-Herrejón , L. Tessieri

We introduce a model of percolation induced by disorder, where an initially homogeneous network with links of equal weight is disordered by the introduction of heterogeneous weights for the links. We consider a pair of nodes i and j to be…

Disordered Systems and Neural Networks · Physics 2015-06-03 Eduardo López , Lidia A. Braunstein

We study an entanglement transfer protocol in a two-leg ladder spin-1/2 chain in the presence of disorder. In the regime where on-site energies and the intrachain couplings follow aproximately constant proportions locally, we set up a…

Quantum Physics · Physics 2018-09-26 Guilherme M. A. Almeida , Andre M. C. Souza , Francisco , A. B. F. de Moura , Marcelo , L. Lyra

We investigate the dependence of the structural phase transitions in an infinite quasi-one-dimensional system of repulsively interacting particles on the profile of the confining channel. Three different functional expressions for the…

Mesoscale and Nanoscale Physics · Physics 2014-09-19 J. E. Galván-Moya , V. R. Misko , F. M. Peeters

It was recently shown that a generalization of quantum Turing machines (QTMs), in which potentials are associated with elementary steps or transitions of the computation, generates potential distributions along computation paths of states…

Condensed Matter · Physics 2009-10-30 Paul Benioff

We formulate a quantum master equation for the many-particle density matrix of electrons propagating through a single-mode conductor, combining elastic scattering by disorder with time-resolved projective measurements that monitor the…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 J. Sánchez Fernán , J. Tworzydło , C. W. J. Beenakker

The equilibrium behavior of a system of elastic layers under tension in the presence of correlated disorder is studied using functional renormalization group techniques. The model exhibits many of the features of the Bose glass phase of…

Condensed Matter · Physics 2009-10-22 Leon Balents

To study transport properties of complex networks, we analyze the equivalent conductance $G$ between two arbitrarily chosen nodes of random scale-free networks with degree distribution $P(k)\sim k^{-\lambda}$ in which each link has the same…

Other Condensed Matter · Physics 2016-08-16 Eduardo López , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

Motivated by anomalously large conductivity anisotropy in layered materials, we propose a simple model of randomly spaced potential barriers (mimicking stacking faults) with isotropic impurities in between the barriers. We solve this model…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dmitrii L. Maslov , Vladimir I. Yudson , Andres M. Somoza , Miguel Ortuño

In a one dimensional lattice thermal fluctuations destroy the long-range order making particles of the lattice move on a scale much larger than the lattice spacing. We discuss the assumption that this motion may be responsible for the…

Soft Condensed Matter · Physics 2015-05-13 A. V. Plyukhin

The transmissivity of a one-dimensional random system that is periodic on average is studied. It is shown that the transmission coefficient for frequencies corresponding to a gap in the band structure of the average periodic system…

Condensed Matter · Physics 2009-10-28 V. D. Freilikher , A. A. Maradudin , A. R. McGurn , B. A. Liansky , I. V. Yurkevich

Particles driven through a periodic potential by an external constant force are known to exhibit a pronounced peak of the diffusion around a critical force that defines the transition between locked and running states. It has recently been…

Soft Condensed Matter · Physics 2015-05-19 M. Khoury , A. M. Lacasta , J. M. Sancho , Katja Lindenberg

Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is homogeneous only in the limit of weak disorder (diffusive…

Disordered Systems and Neural Networks · Physics 2010-09-28 P. Markos

Many disordered systems show a superdiffusive dynamics, intermediate between the diffusive one, typical of a classical stochastic process, and the so called ballistic behaviour, which is generally expected for the spreading in a quantum…

We imitate the spectrum character of one-dimensional disorder system with our new rain model. It has been shown that the transmission spectrum can be approximately characterized by the model, which include some coupled lorentzian…

Disordered Systems and Neural Networks · Physics 2010-09-09 Zheng Liu , Xunya Jiang

We investigate the effects of disorder and shielding on quantum transports in a two dimensional system with all-to-all long range hopping. In the weak disorder, cooperative shielding manifests itself as perfect conducting channels identical…

Disordered Systems and Neural Networks · Physics 2023-04-14 Si-Si Wang , Kangkang Li , Yi-Ming Dai , Hui-Hui Wang , Yi-Cai Zhang , Yan-Yang Zhang

We describe how to engineer wavefunction delocalization in disordered systems modelled by tight-binding Hamiltonians in d>1 dimensions. We show analytically that a simple product structure for the random onsite potential energies, together…

Disordered Systems and Neural Networks · Physics 2012-08-21 Alberto Rodriguez , Arunava Chakrabarti , Rudolf A. Römer

The effects of quenched disorder on a single and many active run-and-tumble particles is studied in one dimension. For a single particle, we consider both the steady-state distribution and the particle's dynamics subject to disorder in…

Statistical Mechanics · Physics 2019-11-27 Ydan Ben Dor , Eric Woillez , Yariv Kafri , Mehran Kardar , Alexandre P Solon