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Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires as a function of the magnetic field B. If such oscillations are completely random at scales exceeding…

Disordered Systems and Neural Networks · Physics 2020-06-24 V. V. Brazhkin , I. M. Suslov

The conductance fluctuations for various types for two-- and three--dimensional disordered systems with hard wall and periodic boundary conditions are studied, all the way from the ballistic (metallic) regime to the localized regime. It is…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Ruehlaender , Peter Markos , C. M. Soukoulis

Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires as a function of the magnetic field B. If such oscillations are completely random at scales exceeding…

Disordered Systems and Neural Networks · Physics 2021-12-28 I. M. Suslov

In this paper we report the measurement of conductance fluctuations in single crystals of Si made metallic by heavy doping (n \approx 2-2.5n_c, n_c being critical composition at Metal-Insulator transition). Since all dimensions (L) of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Arindam Ghosh , A. K. Raychaudhuri

The nature of the critical point of the Anderson transition in high magnetic fields is discussed with an emphasis on scale invariance and universality of the critical exponent. Special attention is paid to the distribution function of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tomi Ohtsuki , Keith Slevin , Tohru Kawarabayashi

Sample-to-sample fluctuations of the time-dependent conductance of a system with static disorder have been studied by means of diagrammatic theory and microwave pulsed transmission measurements. The fluctuations of time-dependent…

Mesoscale and Nanoscale Physics · Physics 2009-07-23 N. Cherroret , A. Pena , A. A. Chabanov , S. E. Skipetrov

We challenge two foundational principles of localization physics by analyzing conductance fluctuations in two dimensions with unprecedented precision: (i) the Thouless criterion, which defines localization as insensitivity to boundary…

Disordered Systems and Neural Networks · Physics 2026-03-03 Nyayabanta Swain , Shaffique Adam , Gabriel Lemarié

We have studied numerically the fluctuations of the conductance, $g$, in two-dimensional, three-dimensional and four-dimensional disordered non-interacting systems. We have checked that the variance of $\ln g$ varies with the lateral sample…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. M. Somoza , J. Prior , M. Ortuno

We study numerically the metal - insulator transition in the Anderson model on various lattices with dimension $2 < d \le 4$ (bifractals and Euclidian lattices). The critical exponent $\nu$ and the critical conductance distribution are…

Disordered Systems and Neural Networks · Physics 2009-11-07 Igor Travenec , Peter Markos

The universal conductance fluctuations of quasi-two-dimensional systems are analyzed with experimental considerations in mind. The traditional statistical metrics of these fluctuations (such as variance) are shown to have large statistical…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 M. B. Lundeberg , J. Renard , J. A. Folk

We report a theoretical investigation on conductance fluctuation of mesoscopic systems. Extensive numerical simulations on quasi-one dimensional, two dimensional, and quantum dot systems with different symmetries (COE, CUE, and CSE)…

Disordered Systems and Neural Networks · Physics 2009-10-20 Zhenhua Qiao , Yanxia Xing , Jian Wang

The Anderson transition in three dimensions in a randomly varying magnetic flux is investigated in detail by means of the transfer matrix method with high accuracy. Both, systems with and without an additional random scalar potential are…

Disordered Systems and Neural Networks · Physics 2009-10-31 T. Kawarabayashi , B. Kramer , T. Ohtsuki

Order parameter fluctuations for the two dimensional Ising model in the region of the critical temperature are presented. A locus of temperatures T*(L) and of magnetic fields B*(L) are identified, for which the probability density function…

Statistical Mechanics · Physics 2009-11-10 Maxime Clusel , Jean-Yves Fortin , Peter C. W. Holdsworth

Anderson localization is fundamentally controlled by dimensionality, yet the nature of the Anderson transition in continuously tunable noninteger dimensions remains largely unexplored. Here, we introduce a family of three-dimensional…

Disordered Systems and Neural Networks · Physics 2026-05-19 Tianyu Li , Xin Tang , Sheng Liu , Haiping Hu

We study conductance fluctuations in random resistor networks with hyperuniform bond disorder, where the fluctuations of the number of bonds present in a test volume $V$ scale as $V^{-a}$ with $a > 1/2$. Since small changes in the…

Statistical Mechanics · Physics 2026-05-21 Bikram Pal

Magnetic field dependent universal conductance fluctuations (UCF's) are observed in weakly disordered indium tin oxide nanowires from 0.26 K up to $\sim 25$ K. The fluctuation magnitudes increase with decreasing temperature, reaching a…

Mesoscale and Nanoscale Physics · Physics 2012-02-15 Ping-Yu Yang , L. Y. Wang , Yao-Wen Hsu , Juhn-Jong Lin

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

The values obtained experimentally for the conductivity critical exponent in numerous percolation systems, in which the interparticle conduction is by tunnelling, were found to be in the range of $t_0$ and about $t_0+10$, where $t_0$ is the…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Grimaldi , I. Balberg

Quantum conductance of 3D ballistic wires with idealy flat boundaries obeys fluctuations with the properties quite distinguishable from those of universal conductance fluctuations: Both their amplitude and the sensitivity to the magnetic…

Condensed Matter · Physics 2016-08-31 Vladimir I. Fal'ko , G. B. Lesovik

Disordered non-interacting systems are classified into ten symmetry classes, with the unitary class being the most fundamental. The three and four dimensional unitary universality classes are attracting renewed interest because of their…

Disordered Systems and Neural Networks · Physics 2016-09-27 Keith Slevin , Tomi Ohtsuki
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