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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,…

介观与纳米尺度物理 · 物理学 2010-12-03 H. -M. Guo , G. Rosenberg , G. Refael , M. Franz

We reconsider the phase diagram of a three-dimensional $\mathbb{Z}_2$ topological insulator in the presence of short-ranged potential disorder with the insight that non-perturbative rare states destabilize the noninteracting Dirac semimetal…

无序系统与神经网络 · 物理学 2024-06-28 Yixing Fu , Justin H. Wilson , David A. Huse , J. H. Pixley

We have designed three-dimensional models of topological insulator thin films, showing a tunability of the odd number of Dirac cones on opposite surfaces driven by the atomic-scale geometry at the boundaries. This enables creation of a…

介观与纳米尺度物理 · 物理学 2013-01-03 David Soriano , Frank Ortmann , Stephan Roche

The massless Dirac electrons found at topological insulator surfaces are thought to be influenced very little by weak, non-magnetic disorder. However, a resonance effect of strongly perturbing non-magnetic impurities has been theoretically…

A global phase diagram of disordered weak and strong topological insulators is established numerically. As expected, the location of the phase boundaries is renormalized by disorder, a feature recognized in the study of the so-called…

介观与纳米尺度物理 · 物理学 2013-06-14 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

We numerically demonstrate a practical means of systematically controlling topological transport on the surface of a three dimensional topological insulator, by introducing strong disorder in a layer of depth $d$ extending inward from the…

介观与纳米尺度物理 · 物理学 2015-06-17 Vincent Sacksteder , Tomi Ohtsuki , Koji Kobayashi

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…

介观与纳米尺度物理 · 物理学 2015-09-01 Quansheng Wu , Liang Du , Vincent E. Sacksteder

We study the stability against disorder of surface states of weak $\mathbb{Z}_2$ topological insulators (superconductors) which are stacks of strong $\mathbb{Z}_2$ topological insulators (superconductors), considering representative Dirac…

介观与纳米尺度物理 · 物理学 2014-01-21 Takahiro Morimoto , Akira Furusaki

The recently discovered topological Dirac semimetal represents a new exotic quantum state of matter. Topological Dirac semimetals can be viewed as three dimensional analogues of graphene, in which the Dirac nodes are protected by…

介观与纳米尺度物理 · 物理学 2017-06-12 Rui Chen , Dong-Hui Xu , Bin Zhou

Topological insulators (TIs) are said to be stable against non-magnetic impurity scattering due to suppressed backscattering in the Dirac surface states. We solve a lattice model of a three-dimensional TI in the presence of strong potential…

介观与纳米尺度物理 · 物理学 2015-05-30 Annica M. Black-Schaffer , Alexander V. Balatsky

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…

无序系统与神经网络 · 物理学 2015-08-12 Kun Woo Kim , Roger S. K. Mong , Marcel Franz , Gil Refael

Three dimensional topological insulators embody a newly discovered state of matter characterized by conducting spin-momentum locked surface states that span the bulk band gap as demonstrated via spin-resolved ARPES measurements . This…

介观与纳米尺度物理 · 物理学 2012-05-09 L. Andrew Wray , Su-Yang Xu , Yuqi Xia , David Hsieh , Alexei V. Fedorov , Hsin Lin , Arun Bansil , Yew San Hor , Robert J. Cava , M. Zahid Hasan

The surface states of a topological insulator in a fine-tuned magnetic field are ideal candidates for realizing a topological metal which is protected against disorder. Its signatures are (1) a conductance plateau in long wires in a finely…

介观与纳米尺度物理 · 物理学 2015-06-17 Quansheng Wu , Vincent E. Sacksteder

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…

介观与纳米尺度物理 · 物理学 2017-12-06 Binglan Wu , Juntao Song , Jiaojiao Zhou , Hua Jiang

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…

介观与纳米尺度物理 · 物理学 2016-06-29 Adam C. Durst

We investigate the effects of magnetic and nonmagnetic impurities on the two-dimensional surface states of three-dimensional topological insulators (TIs). Modeling weak and strong TIs using a generic four-band Hamiltonian, which allows for…

介观与纳米尺度物理 · 物理学 2016-02-26 Andreas Pieper , Holger Fehske

A workable model for describing dislocation lines introduced into a three-dimensional topological insulator is proposed. We show how fragile surface Dirac cones of a weak topological insulator evolve into protected gapless helical modes…

介观与纳米尺度物理 · 物理学 2015-03-19 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

We study the influence of disorder on the topological transition from a two-dimensional Dirac semi-metal to an insulating state. This transition is described as a continuous merging of two Dirac points leading to a semi-Dirac spectrum at…

介观与纳米尺度物理 · 物理学 2013-07-26 David Carpentier , Andrei A. Fedorenko , Edmond Orignac

The disorder effects on higher-order topological phases in periodic systems have attracted much attention. However, in aperiodic systems, such as quasicrystalline systems, the interplay between disorder and higher-order topology is still…

介观与纳米尺度物理 · 物理学 2021-12-14 Tan Peng , Chun-Bo Hua , Rui Chen , Zheng-Rong Liu , Dong-Hui Xu , Bin Zhou

Based on a self-consistent $t$-matrix approximation, we explore the influence of magnetic and nonmagnetic doping on the surface electronic states and conductivity of topological insulators. We show that warping parameter has a crucial…

介观与纳米尺度物理 · 物理学 2021-06-09 Masomeh Arabikhah , Alireza Saffarzadeh
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