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Three-dimensional topological insulators feature Dirac-like surface states which are topologically protected against the influence of weak quenched disorder. Here we investigate the effect of surface disorder beyond the weak-disorder limit…

Strongly Correlated Electrons · Physics 2012-05-30 Gerald Schubert , Holger Fehske , Lars Fritz , Matthias Vojta

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…

Topological insulators are bulk semiconductors that manifest in-gap massless Dirac surface states due to the topological bulk-boundary correspondence principle [1-3]. These surface states have been a subject of tremendous ongoing interest,…

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

The topological surface states of magnetic topological systems, such as Weyl semimetals and axion insulators, are associated with unconventional transport properties such as nonzero or half-quantized surface anomalous Hall effect. Here we…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 Mingqiang Gu , Jiayu Li , Hongyi Sun , Yufei Zhao , Chang Liu , Jianpeng Liu , Haizhou Lu , Qihang Liu

We investigate the effect of spatially correlated disorder on two-dimensional topological insulators and on the quantum spin Hall effect which the helical edge states in these systems give rise to. Our work expands the scope of previous…

Mesoscale and Nanoscale Physics · Physics 2013-07-15 A. Girschik , F. Libisch , S. Rotter

The archetypical 3D topological insulators Bi2Se3, Bi2Te3 and Sb2Te3 commonly exhibit high bulk conductivities, hindering the characterization of the surface state charge transport. The optimally doped topological insulators Bi2Te2Se and…

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

Abstract: Using ab initio calculations supported by experimental transport measurements, we present the first credible candidate for the realization of a disorder-induced Topological Anderson Insulator in a real material system. High energy…

Materials Science · Physics 2021-06-29 Binayak Mukherjee , Eleonora Isotta , Narges Ataollahi , Paolo Scardi

We report on the scaling behavior of V-doped (Bi,Sb)$_2$Te$_3$ samples in the quantum anomalous Hall regime for samples of various thickness. While previous quantum anomalous Hall measurements showed the same scaling as expected from a…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 S. Grauer , K. M. Fijalkowski , S. Schreyeck , M. Winnerlein , K. Brunner , R. Thomale , C. Gould , L. W. Molenkamp

The unusual electronic states found in topological materials can enable a new generation of devices and technologies, yet a long-standing challenge has been finding materials without deleterious parallel bulk conduction. This can arise…

Materials Science · Physics 2020-11-05 Matthew Brahlek

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

Different disorders lead to various localization and topological phenomena in condensed matter and artificial systems. Here we study the topological and localization properties in one-dimensional Su-Schrieffer-Heeger model with spatially…

Disordered Systems and Neural Networks · Physics 2022-03-01 Shu-Na Liu , Guo-Qing Zhang , Ling-Zhi Tang , Dan-Wei Zhang

It is by now well established that periodically driven quantum many-body systems can realize topological nonequilibrium phases without any equilibrium counterpart. Here we show that, even in the absence of time translation symmetry,…

Disordered Systems and Neural Networks · Physics 2022-06-22 Hongzheng Zhao , Mark S. Rudner , Roderich Moessner , Johannes Knolle

We uncover the relationship of topology and disorder in a one-dimensional Su-Schrieffer-Heeger chain subjected to a slowly varying quasi-periodic modulation. By numerically calculating the disorder-averaged winding number and analytically…

Disordered Systems and Neural Networks · Physics 2022-07-20 Zhanpeng Lu , Zhihao Xu , Yunbo Zhang

We extend the single-particle topological classification of insulators and superconductors to include systems in which disorder preserves average reflection symmetry. We show that the topological group structure of bulk Hamiltonians and…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. Diez , D. I. Pikulin , I. C. Fulga , J. Tworzydlo

It is often thought that emergent phenomena in topological phases of matter are destroyed when tuning to a critical point. In particular, topologically protected edge states supposedly delocalize when the bulk correlation length diverges.…

Strongly Correlated Electrons · Physics 2020-03-13 Ruben Verresen

We study disorder effects on the surface states of the topological insulator Bi$_2$Se$_3$ close to the topologically protected crossing point. Close to charge neutrality, local fluctuations in carrier density arising from the random charged…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 S. Adam , E. H. Hwang , S. Das Sarma

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Ron Aharon Melcer , Bivas Dutta , Christian Spånslätt , Jinhong Park , Alexander D. Mirlin , Vladimir Umansky

Disorder plays an important role in two dimensions, and is responsible for striking phenomena such as metal insulator transition and the integral and fractional quantum Hall effects. In this paper, we investigate the role of disorder in the…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Jian Li , Rui-Lin Chu , J. K. Jain , Shun-Qing Shen