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A conducting 1D line or 2D plane inside (or on the surface of) an insulator is considered.Impurities displace the charges inside the insulator. This results in a long-range fluctuating electric field acting on the conducting line (plane).…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. V. Flambaum

We show that in the one-dimensional (1D) Anderson model long-range correlations within the sequence of on-site potentials may lead to a region of extended states in the vicinity of the band centre, i.e., to a correlation-induced…

Strongly Correlated Electrons · Physics 2007-05-23 Gerald Schubert , Alexander Weisse , Holger Fehske

Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the…

Disordered Systems and Neural Networks · Physics 2015-03-19 Alexander Croy , Philipp Cain , Michael Schreiber

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov

We show that a one dimensional disordered conductor with correlated disorder has an extended state and a Landauer resistance that is non-zero in the limit of infinite system size in contrast to the predictions of the scaling theory of…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Onuttom Narayan , Harsh Mathur , Richard Montgomery

1D diagonally disordered chain with Frenkel exciton and long range exponential intersite interaction is considered. It is shown that some states of this disordered system are delocalised (extended) contrary to the popular statement that all…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. G. Kozlov

The localization lengths of long-range correlated disordered chains are studied for electronic wavefunctions in the Anderson model and for vibrational states. A scaling theory close to the band edge is developed in the Anderson model and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Stefanie Russ

We study Anderson localization of single particles in continuous, correlated, one-dimensional disordered potentials. We show that tailored correlations can completely change the energy-dependence of the localization length. By considering…

Disordered Systems and Neural Networks · Physics 2013-03-28 Marie Piraud , Laurent Sanchez-Palencia

We report on the transition between an Anderson localized regime and a conductive regime in a 1D scattering system with correlated disorder. We show experimentally that when long-range correlations, in the form of a power-law spectral…

We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials. To assess the nature of the…

Disordered Systems and Neural Networks · Physics 2014-08-05 Eric C. Andrade , Mark Steudtner , Matthias Vojta

The diagrammatic theory is proposed for the strongly correlated impurity Anderson model. The strongly correlated impurity electrons are hybridized with free conduction electrons. For this system the new diagrammatic approach is formulated.…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Moskalenko , P. Entel , D. F. Digor , L. A. Dohotaru , R. Citro

The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory for the Anderson-Falicov-Kimball model with nearest-neighbors and next-nearest-neighbors hopping. The half-filled band is analyzed…

Strongly Correlated Electrons · Physics 2009-11-13 D. O. Maionchi , A. M. C. Souza , H. J. Herrmann , R. N. da Costa Filho

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

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

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

We consider the phase coherent transport of a quasi one-dimensional beam of Bose-Einstein condensed particles through a disordered potential of length L. Among the possible different types of flow identified in [T. Paul et al., Phys. Rev.…

Quantum Gases · Physics 2009-09-18 T. Paul , M. Albert , P. Schlagheck , P. Leboeuf , N. Pavloff

We study the localization properties of a test dipole feeling the disordered potential induced by dipolar impurities trapped at random positions in an optical lattice. This random potential is marked by correlations which are a convolution…

Quantum Gases · Physics 2013-09-20 M. Larcher , C. Menotti , B. Tanatar , P. Vignolo

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

For the multi-particle Anderson model with correlated random potential in the continuum, we show under fairly general assumptions on the inter-particle interaction and the random external potential, the Anderson localization which consists…

Mathematical Physics · Physics 2017-03-28 Trésor Ekanga

We consider chiral electrons moving along the 1D helical edge of a 2D topological insulator and interacting with a disordered chain of Kondo impurities. Assuming the electron-spin couplings of random anisotropies, we map this system to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 B. L. Altshuler , I. L. Aleiner , V. I. Yudson
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