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We study coherent electron transport in a one-dimensional wire with disorder modeled as a chain of randomly positioned scatterers. We derive analytical expressions for all statistical moments of the wire resistance $\rho$. By means of these…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Vagner , P. Markos , M. Mosko , Th. Schaepers

Although topological Anderson insulator has been predicted in 2009, the lasting investigations of this disorder established nontrivial state results in only two experimental observations in cold atoms [Science, {\bf 362 },929 (2018)] and in…

Disordered Systems and Neural Networks · Physics 2019-11-27 Zhi-Qiang Zhang , Bing-Lan Wu , Juntao Song , Hua Jiang

We report on anomalous light transport in the strong scattering regime. Using low-coherence interferometry, we measure the reflection matrix of titanium dioxide powders, revealing crucial features of strong optical scattering which can not…

Disordered Systems and Neural Networks · Physics 2022-08-11 Laura A. Cobus , Georg Maret , Alexandre Aubry

Anderson localization of electron states on graphene lattice with diagonal and off-diagonal (OD) disorder in the absence of magnetic field is investigated by using the standard finite-size scaling analysis. In the presence of diagonal…

Disordered Systems and Neural Networks · Physics 2008-01-03 Shi-Jie Xiong , Ye Xiong

Anderson localization of particles -- the complete halt of wave transport through multiple scattering and phase coherence -- is a paradigmatic manifestation of quantum interference in disordered media. In three dimensions, the scaling…

We consider the dynamics of an electron in an infinite disordered metallic wire. We derive exact expressions for the probability of diffusive return to the starting point in a given time. The result is valid for wires with or without…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 E. Khalaf , P. M. Ostrovsky

Full distributions of conductance through quantum dots with single-mode leads are reported for both broken and unbroken time-reversal symmetry. Distributions are nongaussian and agree well with random matrix theory calculations that account…

Mesoscale and Nanoscale Physics · Physics 2012-08-27 A. G. Huibers , S. R. Patel , C. M. Marcus , P. W. Brouwer , C. I. Duruoz , J. S. Harris,

We study the influence of boundary conditions transverse to the transport direction for disordered mesoscopic conductors both at the Anderson metal-insulator transition and in the metallic regime. We show that the boundary conditions…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel Braun , Etienne Hofstetter , Gilles Montambaux , Angus MacKinnon

In low temperature limit, we study electron counting statistics of a disordered conductor. We derive an expression for the distribution of charge transmitted over a finite time interval by using a result from the random matrix theory of…

Condensed Matter · Physics 2008-04-12 Hyunwoo Lee , A. Yu. Yakovetz , L. S. Levitov

We study the electronic transport properties of the Anderson model on a strip, modeling a quasi one-dimensional disordered quantum wire. In the literature, the standard description of such wires is via random matrix theory (RMT). Our…

Mathematical Physics · Physics 2015-06-04 Sven Bachmann , Maximilian Butz , Wojciech De Roeck

In this work we have studied the optical properties of disordered photonic structures, in which we have controlled the distribution of the random layer thickness. Such structures are characterized by an alternation of high and low…

Optics · Physics 2015-02-04 Francesco Scotognella

We analyze the conductance distribution function in the one-dimensional Anderson model of localization, for arbitrary energy. For energy at the band center the distribution function deviates from the universal form assumed in…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Schomerus , M. Titov

We study localization in two- and three channel quasi-1D systems using multichain tight-binding Anderson models with nearest-neighbour interchain hopping. In the three chain case we discuss both the case of free- and that of periodic…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. Heinrichs

Results of experimental study of the weak localization phenomenon in 2D system with artificial inhomogeneity of potential relief are presented. It is shown that the shape of the magnetoconductivity curve is determined by the statistics of…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , A. A. Sherstobitov , A. V. Germanenko , O. E. Rut

We investigated numerically the distribution of participation numbers in the 3d Anderson tight-binding model at the localization-delocalization threshold. These numbers in {\em one} disordered system experience strong level-to-level…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. A. Parshin , H. R. Schober

Quasiperiodic system is an intermediate state between periodic and disordered systems with unique delocalization-localization transition driven by the quasiperiodic potential (QP). One of the intriguing questions is whether the universality…

Disordered Systems and Neural Networks · Physics 2022-10-03 Xunlong Luo , Tomi Ohtsuki

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 expose an interesting connection between the distribution of local spectral density of states arising in the theory of disordered systems and the notion of superstatistics introduced by Beck and Cohen and recently incorporated in random…

Statistical Mechanics · Physics 2007-06-13 A. Y. Abul-Magd

We generalize the typical medium dynamical cluster approximation to multiband disordered systems. Using our extended formalism, we perform a systematic study of the non-local correlation effects induced by disorder on the density of states…

Disordered Systems and Neural Networks · Physics 2015-11-11 Yi Zhang , Hanna Terletska , C. Moore , Chinedu Ekuma , Ka-Ming Tam , Tom Berlijn , Wei Ku , Juana Moreno , Mark Jarrell

Topology and disorder have deep connections and a rich combined influence on quantum transport. In order to probe these connections, we synthesized one-dimensional chiral symmetric wires with controllable disorder via spectroscopic…

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