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The discovery of topological insulators has opened new prospects for robust signal transport for electronic, phononic, and photonic devices. Though transport of topological protected edge states is robust to disorder, large fluctuations and…

Mesoscale and Nanoscale Physics · Physics 2021-03-12 Yuhao Kang , Azriel Z. Genack

The onset of nonequilibrium in a driven Anderson-insulator is identified by monitoring the system with two-thermometers. Features of nonequilibrium appear at surprisingly weak drive intensity demonstrating, among other things, that…

Disordered Systems and Neural Networks · Physics 2024-01-31 Z. Ovadyahu

Topological insulators [1-6] is a new quantum phase of matter with exotic properties such as dissipationless transport and protection against Anderson localization [7]. These new states of quantum matter could be one of the missing links…

Materials Science · Physics 2010-07-29 M. Klintenberg

Disorder inevitably exists in realistic samples, manifesting itself in various exotic properties for the topological states. In this paper, we summarize and briefly review work completed over the last few years, including our own, regarding…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Binglan Wu , Juntao Song , Jiaojiao Zhou , Hua Jiang

We study the level-statistics of a disordered system undergoing the Anderson type metal-insulator transition. The disordered Hamiltonian is a sparse random matrix in the site representation and the statistics is obtained by taking an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pragya Shukla

In this paper, we realize a topological superconductor (TSC) in correlated topological insulator - the interacting spinful Haldane model. We consider the electrons on the Haldane model with on-site negative-U interaction and then study its…

Superconductivity · Physics 2013-05-08 Ying Liang , Jing He , Ya-Jie Wu , Ying-Xue Zhu , Su-Peng Kou

Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence…

Superconductivity · Physics 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

Algebraic and geometric mean density of states in disordered systems may reveal properties of electronic localization. In order to understand the topological phases with disorder in two dimensions, we present the calculated density of…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Yan-Yang Zhang , Shun-Qing Shen

The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. The term ``Anderson transition'' is understood in a broad sense, including both metal-insulator transitions and quantum-Hall-type…

Mesoscale and Nanoscale Physics · Physics 2008-10-20 F. Evers , A. D. Mirlin

Topological matter is a trending topic in condensed matter: From a fundamental point of view it has introduced new phenomena and tools, and for technological applications, it holds the promise of basic stable quantum computing. Similarly,…

Disordered Systems and Neural Networks · Physics 2016-08-29 Eduardo V. Castro , Raphael de Gail , M. Pilar López-Sancho , María A. H. Vozmediano

Topological behavior can be masked when disorder is present. A topological insulator, either intrinsic or interaction induced, may turn gapless when sufficiently disordered. Nevertheless, the metallic phase that emerges once a topological…

Mesoscale and Nanoscale Physics · Physics 2013-04-03 Julia S. Meyer , Gil Refael

A one-dimensional boundary of a two-dimensional topological superconductor can host a number of topologically protected chiral modes. Combining two topological superconductors with different topological indices, it is possible to achieve a…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Daniil S. Antonenko , Eslam Khalaf , Pavel M. Ostrovsky , Mikhail A. Skvortsov

The role of Coulomb disorder is analysed in the Anderson-Falicov-Kimball model. Phase diagrams of correlated and disordered electron systems are calculated within dynamical mean-field theory applied to the Bethe lattice, in which…

Strongly Correlated Electrons · Physics 2016-03-14 Rubens D. B. Carvalho , Guilherme M. A. Almeida , Andre M. C. Souza

Topological Anderson insulators (TAIs) provide a mechanism for topological phase transitions in disordered systems and have implications for quantum material design. In this work, we investigate the emergence of multiple TAIs in a…

Disordered Systems and Neural Networks · Physics 2025-08-19 Ruijiang Ji , Zhihao Xu

Static disorder in a noninteracting gas of electrons confined to two dimensions can drive a continuous quantum (Anderson) transition between a metallic and an insulating state when time-reversal symmetry is preserved but spin-rotation…

Mesoscale and Nanoscale Physics · Physics 2008-09-03 Hideaki Obuse , Akira Furusaki , Shinsei Ryu , Christopher Mudry

We analyse the topological transition and localization evolution of disordered two dimensional systems with non trivial topology based on bipartite lattices. Chern insulators with broken time reversal symmetry show non standard behavior for…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Eduardo V. Castro , M. Pilar López-Sancho , María A. H. Vozmediano

We obtain an analytic expression for the full distribution of conductance for a strongly disordered three dimensional conductor within a perturbative approach based on the transfer-matrix formulation. Our results confirm numerical evidence…

Disordered Systems and Neural Networks · Physics 2009-10-27 Andrew Douglas , K. A. Muttalib

In topological phases of matter for which the bulk and boundary support distinct electronic gaps, there exists the possibility of decoupled mobility gaps in the presence of disorder. This is in analogy with the well-studied problem of…

Disordered Systems and Neural Networks · Physics 2025-01-29 Cormac Grindall , Alexander C. Tyner , Ang-Kun Wu , Taylor L. Hughes , J. H. Pixley

Boundary obstructed topological insulators are an unusual class of higher-order topological insulators with topological characteristics determined by the so-called Wannier bands. Boundary obstructed phases can harbor hinge/corner modes, but…

Disordered Systems and Neural Networks · Physics 2020-10-07 Jahan Claes , Taylor L. Hughes

The Anderson metal-insulator transition is a continuous phase transition driven by disorder. It remains a challenging problem to theoretically determine universal critical properties at the transition. The Anderson transition in a model…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. W. Brouwer , A. Furusaki , C. Mudry , S. Ryu
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