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Although topological surface states are known to be robust against non-magnetic surface perturbations, their band dispersions and spatial distributions are still sensitive to the surface defects. Take Bi2Se3 as an example, we demonstrated…

Materials Science · Physics 2013-03-05 Binghai Yan , Delin Zhang , Claudia Felser

We investigated the electronic properties of the topological insulator Bi$_{2}$Te$_{3}$ by scanning tunneling microscopy and spectroscopy at low temperature. We obtained high-resolution quasiparticle interference data of the topological…

Monolayer V2O3, a two-dimensional magnetic topological insulator with intrinsic ferromagnetic order and a nontrivial band gap, offers a promising platform for realizing quantum anomalous Hall (QAH) states. Using first-principles density…

Materials Science · Physics 2025-09-30 Zheng Wang , Jingshen Yan , Shu-Shen Lyu , Kaixuan Chen

It has recently been shown that crystalline defects - dislocation lines - in three dimensional topological insulators, can host protected one dimensional modes propagating along their length. We generalize this observation to the case of…

Strongly Correlated Electrons · Physics 2010-07-02 Ying Ran

The topological insulator is an electronic phase stabilized by spin-orbit coupling that supports propagating edge states and is not adiabatically connected to the ordinary insulator. In several ways it is a spin-orbit-induced analogue in…

Mesoscale and Nanoscale Physics · Physics 2009-12-16 Andrew M. Essin , J. E. Moore

The bulk-boundary correspondence, which links a bulk topological property of a material to the existence of robust boundary states, is a hallmark of topological insulators. However, in crystalline topological materials the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Sasha S. Yamada , Tianhe Li , Mao Lin , Christopher W. Peterson , Taylor L. Hughes , Gaurav Bahl

Topological insulators (TIs) are a class of materials characterized by an insulting bulk and high mobility topologically protected surface states, making them promising candidates for future optoelectronic and quantum devices. Although…

Topological Surface States (TSS) represent new types of two dimensional electron systems with novel and unprecedented properties distinct from any quantum Hall-like or spin-Hall effects. Their Z$_2$ topological order can be realized at room…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 M. Zahid Hasan , Su-Yang Xu , David Hsieh , L. Andrew Wray , Yuqi Xia

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

Topological insulators(1-8) are a novel form of matter which features metallic surface states with quasirelativistic dispersion similar to graphene(9). Unlike graphene, the locking of spin and momentum and the protection by time-reversal…

Mesoscale and Nanoscale Physics · Physics 2012-07-23 M. R. Scholz , J. Sánchez-Barriga , D. Marchenko , A. Varykhalov , A. Volykhov , L. V. Yashina , O. Rader

Topological photonic states, inspired by robust chiral edge states in topological insulators, have recently been demonstrated in a few photonic systems, including an array of coupled on-chip ring resonators at communication wavelengths.…

Chiral surface states in topological insulators are robust against interactions, non-magnetic disorder and localization, yet topology does not yield protection in transport. This work presents a theory of interacting topological insulators…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Dimitrie Culcer

A three-dimensional (3D) topological insulator (TI) is a quantum state of matter with a gapped insulating bulk yet a conducting surface hosting topologically-protected gapless surface states. One of the most distinct electronic transport…

Mesoscale and Nanoscale Physics · Physics 2015-01-06 Yang Xu , Ireneusz Miotkowski , Chang Liu , Jifa Tian , Hyoungdo Nam , Nasser Alidoust , Jiuning Hu , Chih-Kang Shih , M. Zahid Hasan , Yong P. Chen

We numerically investigate the surface states of a strong topological insulator in the presence of strong electron-electron interactions. We choose a spherical topological insulator geometry to make the surface amenable to a finite size…

Strongly Correlated Electrons · Physics 2015-07-08 T. Neupert , S. Rachel , R. Thomale , M. Greiter

The tenfold classification of topological phases enumerates all strong topological phases for both clean and disordered systems. These strong topological phases are connected to the existence of robust edge states. However, in addition to…

Disordered Systems and Neural Networks · Physics 2020-06-16 Jahan Claes , Taylor Hughes

We define a class of insulators with gapless surface states protected from localization due to the statistical properties of a disordered ensemble, namely due to the ensemble's invariance under a certain symmetry. We show that these…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 I. C. Fulga , B. van Heck , J. M. Edge , A. R. Akhmerov

The topological properties of the bulk band structure of a three-dimensional topological insulator (TI) manifest themselves in the form of metallic surface states. In this paper, we propose a probe which directly couples to an exotic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Sthitadhi Roy , Kush Saha , Sourin Das

Electronic band structure for electrons bound on periodic minimal surfaces is differential-geometrically formulated and numerically calculated. We focus on minimal surfaces because they are not only mathematically elegant (with the surface…

Materials Science · Physics 2009-11-07 H. Aoki , M. Koshino , D. Takeda , H. Morise

Using first-principles calculations within density functional theory, we explore the feasibility of converting ternary half-Heusler compounds into a new class of three-dimensional topological insulators (3DTI). We demonstrate that the…

Materials Science · Physics 2010-10-07 Di Xiao , Yugui Yao , Wanxiang Feng , Jun Wen , Wenguang Zhu , Xingqiu Chen , G. Malcolm Stocks , Zhenyu Zhang

Topological insulators are a class of band insulators with non-trivial topology, a result of band inversion due to the strong spin-orbit coupling. The transition between topological and normal insulator can be realized by tuning the…

Strongly Correlated Electrons · Physics 2018-03-29 Wenhan Zhang , M. X. Chen , Jixia Dai , Xueyun Wang , Zhicheng Zhong , Sang-Wook Cheong , Weida Wu