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Topological insulators (TIs) are characterized by an insulating bulk and symmetry protected bound state on their boundaries. A "strong" topological insulator is characterized by robust conducting states on \emph{all} boundaries protected by…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Inbar Hotzen Grinberg , Mao Lin , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Surface states of topological insulators (TIs) have been playing the central role in the majority of outstanding investigations in low-dimensional electron systems for more than 10 years. TIs based on high-quality strained HgTe films…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 M. L. Savchenko , D. A. Kozlov , N. N. Vasilev , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , A. V. Kolesnikov

High-order topological insulators (TIs) are a family of recently-predicted topological phases of matter obeying an extended topological bulk-boundary correspondence principle. For example, a two-dimensional (2D) second-order TI does not…

Mesoscale and Nanoscale Physics · Physics 2020-06-17 Haoran Xue , Yahui Yang , Fei Gao , Yidong Chong , Baile Zhang

The paradigm of classifying three-dimensional (3D) topological insulators into strong and weak ones (STI and WTI) opens the door for the discovery of various topological phases of matter protected by different symmetries and defined in…

Topological insulators (TIs) are an emerging class of materials that host highly robust in-gap surface/interface states while maintaining an insulating bulk. While most notable scientific advancements in this field have been focused on TIs…

Three-dimensional (3D) topological insulators (TI) are novel quantum materials with insulating bulk and topologically protected metallic surfaces with Dirac-like band structure. The spin-helical Dirac surface states are expected to host…

The unique properties of spin-polarized surface or edge states in topological insulators (TIs) make these quantum coherent systems interesting from the point of view of both fundamental physics and their implementation in low power…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Juan Pedro Cascales , Isidoro Martınez , Ferhat Katmis , Cui-Zu Chang , Ruben Guerrero , Jagadeesh S. Moodera , Farkhad G. Aliev

Introducing, observing, and manipulating individual impurities coupled to a host material offers the opportunity to create new device concepts based on single spin and charge states. Because of potential applications in spintronics and…

Mesoscale and Nanoscale Physics · Physics 2016-09-29 Paolo Sessi , Thomas Bathon , Konstantin A. Kokh , Oleg E. Tereshchenko , Matthias Bode

The class of topological insulator materials is one of the frontier topics of condensed matter physics. The great success of this field is due to the conceptual breakthroughs in theories for topological electronic states and is strongly…

Mesoscale and Nanoscale Physics · Physics 2014-10-20 Hongming Weng , Xi Dai , Zhong Fang

Topological insulators (TIs) are renowned for their remarkable electronic properties: quantised bulk Hall and edge conductivities, and robust edge wave-packet propagation, even in the presence of material defects and disorder. Computations…

Numerical Analysis · Mathematics 2021-12-09 Matthew J. Colbrook , Andrew Horning , Kyle Thicke , Alexander B. Watson

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 insulators (TIs) represent a new quantum state of matter characterized by robust gapless states inside the insulating bulk gap. The metallic edge states of a two-dimensional (2D) TI, known as quantum spin Hall (QSH) effect, are…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Liangzhi Kou , Binghai Yan , Feiming Hu , Shu-Chun Wu , Tim O. Wehling , Claudia Felser , Changfeng Chen , Thomas Frauenheim

Using first-principal density functional theory (DFT) we explained the importance of pseudopotential for decribing the electronic and vibrational properties of rutile TiO2 (R-TiO2). Calculations were performed using the generalized gradient…

Chemical Physics · Physics 2018-11-12 Sugata Chowdhury , Nacole King , Winnie Wong-Ng

Topological insulators (TIs) are intriguing materials for advanced computing applications based on spintronics because they can host robust spin effects. For instance, TIs have intrinsically large spin generation enabled by their large…

Mesoscale and Nanoscale Physics · Physics 2025-03-11 Sharadh Jois , Gregory M. Stephen , Nick Blumenschein , Patrick J. Taylor , Aubrey T. Hanbicki , Adam L. Friedman

Topological insulators (TIs) are novel materials that manifest spin-polarized Dirac states on their surfaces or at interfaces made with conventional matter. We have measured the electron kinetics of bulk doped TI Bi$_2$Se$_3$ with angle…

Materials Science · Physics 2012-06-07 L. A. Wray , M. Neupane , S. -Y. Xu , Y. -Q. Xia , A. V. Fedorov , H. Lin , S. Basak , A. Bansil , Y. S. Hor , R. J. Cava , M. Z. Hasan

We reanalyze some of the critical transport experiments and provide a coherent understanding of the current generation of topological insulators (TIs). Currently TI transport studies abound with widely varying claims of the surface and bulk…

Materials Science · Physics 2015-06-18 Matthew Brahlek , Nikesh Koirala , Namrata Bansal , Seongshik Oh

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

We report the discovery of several classes of novel topological insulators (TIs) with hybrid-order boundary states generated from the first-order TIs with additional crystalline symmetries. Unlike the current studies on hybrid-order TIs…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

Topological insulators (TIs) are materials with unique surface conductive properties that distinguish them from normal insulators and have attracted significant interest due to their potential applications in electronics and spintronics.…

Mesoscale and Nanoscale Physics · Physics 2025-02-24 Qiang Sun , Eitan Dvorquez , Felipe Pinto , Mohan C. Mathpal , Jerónimo R. Maze , Brant C. Gibson , Andrew D. Greentree

Topological crystalline insulators (TCIs) are classified by topological invariants defined with respect to the crystalline symmetries of their gapped bulk. The bulk-boundary correspondence then links the topological properties of the bulk…

Mesoscale and Nanoscale Physics · Physics 2024-12-24 Gengming Liu , Violet Workman , Jiho Noh , Yuhao Ma , Taylor L. Hughes , Wladimir A. Benalcazar , Gaurav Bahl