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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

Topological insulators have been extended to higher-order versions that possess topological hinge or corner states in lower dimensions. However, their robustness against disorder is still unclear. Here, we theoretically investigate the…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yedi Shen , Zeyu Li , Qian Niu , Zhenhua Qiao

The effect of surface disorder on electronic systems is particularly interesting for topological phases with surface and edge states. Using exact diagonalization, it has been demonstrated that the surface states of a 3D topological…

Disordered Systems and Neural Networks · Physics 2015-08-12 Kun Woo Kim , Roger S. K. Mong , Marcel Franz , Gil Refael

To harness the true potential of topological insulators as quantum materials for information processing, it is imperative to maximise topological surface state conduction, while simulateneously improving their quantum coherence. However,…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 Abhishek Banerjee , R. Ganesan , P. S. Anil Kumar

Topological insulators are characterized by specially protected conduction on their outer boundaries. We show that the protected edge conduction exhibited by 2-D topological insulators (and also Chern insulators) is independent of…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 Quansheng Wu , Liang Du , Vincent E. Sacksteder

We present a theoretical approach to describe the 2D transport properties of the surfaces of three dimensional topological insulators (3DTIs) including disorder and phonon scattering effects. The method that we present is able to take into…

Mesoscale and Nanoscale Physics · Physics 2013-01-01 Qiuzi Li , E. Rossi , S. Das Sarma

Disorder effects on three-dimensional second-order topological insulators (3DSOTIs) are investigated numerically and analytically. The study is based on a tight-binding Hamiltonian for non-interacting electrons on a cubic lattice with a…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 C. Wang , X. R. Wang

We consider the transport properties of topological insulators surface states in the presence of uncorrelated point-like disorder, both in the classical and quantum regimes. The transport properties of those two-dimensional surface states…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 Pierre Adroguer , David Carpentier , Jérôme Cayssol , Edmond Orignac

Disorder, traditionally believed to hinder the propagation of waves. has recently been shown to prompt the occurrence of topological phase transitions. For example, when disorder strength continuously increases and surpasses certain…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 Aodong Li , Bingcong Xu , Biye Xie

We develop a theory for the compressibility of the surface states of 3D topological insulators and propose that surface probes of the compressibility via scanning single electron transistor microscopy will be a straightforward way to access…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 D. S. L. Abergel , S. Das Sarma

Three dimensional (3D) topological insulators are quantum materials with a spin-orbit induced bulk insulating gap that exhibit quantum-Hall-like phenomena in the absence of applied magnetic fields. The proposed applications of topological…

Mesoscale and Nanoscale Physics · Physics 2009-07-20 Y. Xia , D. Qian , D. Hsieh , R. Shankar , H. Lin , A. Bansil , A. V. Fedorov , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

We investigate the possibility of using structural disorder to induce a topological phase in a solid state system. Using first-principles calculations, we introduce structural disorder in the trivial insulator BiTeI and observe the…

Materials Science · Physics 2021-06-30 Paul Corbae , Frances Hellman , Sinead M. Griffin

We consider a topological insulator (TI) of spherical geometry and numerically investigate the influence of disorder on the density of surface states. To the clean Hamiltonian we add a surface disorder potential of the most general…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Adam C. Durst

Recently, a new family of symmetry-protected higher-order topological insulators has been proposed and was shown to host lower-dimensional boundary states. However, with the existence of the strong disorder in the bulk, the crystal symmetry…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Weixuan Zhang , Deyuan Zou , Qingsong Pei , Wenjing He , Jiacheng Bao , Houjun Sun , Xiangdong Zhang

Three dimensional topological insulators are bulk insulators with $\mathbf{Z}_2$ topological electronic order that gives rise to conducting light-like surface states. These surface electrons are exceptionally resistant to localization by…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 Yishuai Xu , Janet Chiu , Lin Miao , Haowei He , Zhanybek Alpichshev , A. Kapitulnik , Rudro R. Biswas , L. Andrew Wray

We consider the interplay of disorder and interactions upon the gapless surface states of 3D topological superconductors. The combination of topology and superconducting order inverts the action of time-reversal symmetry, so that extrinsic…

Disordered Systems and Neural Networks · Physics 2014-05-07 Matthew S. Foster , Hong-Yi Xie , Yang-Zhi Chou

We numerically investigate the topological phase transition induced purely by disorder in a spring-mass chain. We employ two types of disorders - chiral and random types - to explore the interplay between topology and disorder. By tracking…

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

Topological insulators (TI) are a phase of matter that host unusual metallic states on their surfaces. Unlike the states that exist on the surface of conventional materials, these so-called topological surfaces states (TSS) are protected…

Disorder, ubiquitously present in solids, is normally detrimental to the stability of ordered states of matter. In this letter we demonstrate that not only is the physics of a strong topological insulator robust to disorder but, remarkably,…

Mesoscale and Nanoscale Physics · Physics 2010-12-03 H. -M. Guo , G. Rosenberg , G. Refael , M. Franz
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