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The discovery of topological insulators (TIs), materials with bulk band gaps and protected cross-gap surface states, in compounds such as Bi2Se3 has generated much interest in identifying topological surface states (TSSs) in other classes…

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

Topological insulators (TIs) constitute a new class of materials with unique properties resulting from the relativistic-like character and topological protection of their surface states. Theory predicts these to exhibit a rich variety of…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 Hadar Steinberg , Dillon R. Gardner , Young S. Lee , Pablo Jarillo-Herrero

Topological insulators (TIs) are materials with an insulating bulk characterized by a gapped band structure, along with gapless metallic surface states having a Dirac cone with a helical spin structure in momentum space. The helical…

Materials Science · Physics 2024-09-02 Sumana Paul , Moumita Das , Sujoy Datta , Raja Chakraborty , Prabhat Mandal , P. K. Giri

Topological crystalline insulators are topological insulators whose surface states are protected by the crystalline symmetry, instead of the time reversal symmetry. Similar to the first generation of three-dimensional topological insulators…

Materials Science · Physics 2015-06-23 Jie Shen , Judy J. Cha

Topological insulators (TI), with characteristic Dirac-fermion topological surface states (TSS), have emerged as a new class of electronic materials with rich potentials for both novel physics and device applications. However, a major…

Materials Science · Physics 2014-09-11 Helin Cao , Chang Liu , Jifa Tian , Yang Xu , Ireneusz Miotkowski , M. Zahid Hasan , Yong P. Chen

Topological insulators (TIs) are a new class of matter characterized by the unique electronic properties of an insulating bulk and metallic boundaries arising from non-trivial bulk band topology. While the surfaces of TIs have been well…

Materials Science · Physics 2014-10-09 L. Seixas , D. West , A. Fazzio , S. B. Zhang

Topological states of matter originate from distinct topological electronic structures of materials. As for strong topological insulators (STIs), the topological surface (interface) is a direct consequence of electronic structure transition…

Materials Science · Physics 2016-11-16 Bin Li , Qiangsheng Lu , Shuigang Xu , Yipu Xia , Wingkin Ho , Ning Wang , Chang Liu , Maohai Xie

We study disorder induced topological phase transitions in magnetically doped (Bi, Sb)$_2$Te$_3$ thin films, by using large scale transport simulations of the conductance through a disordered region coupled to reservoirs in the quantum spin…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Takuya Okugawa , Peizhe Tang , Angel Rubio , Dante M. Kennes

Topological insulators (TI) are a new class of quantum materials with insulating bulk enclosed by topologically protected metallic boundaries. The surface states of three-dimensional TIs have spin helical Dirac structure, and are robust…

The surface of a topological crystalline insulator (TCI) carries an even number of Dirac cones protected by crystalline symmetry. We epitaxially grew high quality Pb$_{1-x}$Sn$_x$Te(111) films and investigated the TCI phase by in-situ…

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 a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

Exponentially localized surface states are the most distinctive property of a crystal with non-trivial band topology. Such surface states play a key role in characterizing topological insulators (TIs), both in theory and experiments. TIs…

Strongly Correlated Electrons · Physics 2021-10-29 Shouvik Sur , Pallab Goswami

Crystalline symmetries have played a central role in the identification of topological materials. The use of symmetry indicators and band representations have enabled a classification scheme for crystalline topological materials, leading to…

A topological insulator (TI) is an unusual quantum state in which the insulating bulk is topologically distinct from vacuum, resulting in a unique metallic surface that is robust against time-reversal invariant perturbations. These surface…

Strongly Correlated Electrons · Physics 2013-10-28 D. J. Kim , S. Thomas , T. Grant , J. Botimer , Z. Fisk , Jing Xia

Topological Insulators (TIs) are unique materials where insulating bulk hosts linearly dispersing surface states protected by the Time-Reversal Symmetry (TRS). These states lead to dissipationless current flow, which makes this class of…

Materials Science · Physics 2022-05-19 Ankita Phutela , Preeti Bhumla , Manjari Jain , Saswata Bhattacharya

We report direct imaging of standing waves of the nontrivial surface states of topological insulator Bi$_2$Te$_3$ by using a low temperature scanning tunneling microscope. The interference fringes are caused by the scattering of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Tong Zhang , Peng Cheng , Xi Chen , Jin-Feng Jia , Xucun Ma , Ke He , Lili Wang , Haijun Zhang , Xi Dai , Zhong Fang , Xincheng Xie , Qi-Kun Xue

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

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…