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The topological aspects of electrons in solids emerge in realistic matters as represented by topological insulators. They are expected to show a variety of new magneto-electric phenomena, and especially the ones hosting superconductivity…

Materials Science · Physics 2015-10-28 M. Sakano , K. Okawa , M. Kanou , H. Sanjo , T. Okuda , T. Sasagawa , K. Ishizaka

Commonly materials are classified as either electrical conductors or insulators. The theoretical discovery of topological insulators (TIs) in 2005 has fundamentally challenged this dichotomy. In a TI, spin-orbit interaction generates a…

We propose second-order topological insulators (SOTIs) whose lattice structure has the hexagonal symmetry $C_{6}$ in three and two dimensions. We start with a three-dimensional weak topological insulator constructed on the stacked…

Mesoscale and Nanoscale Physics · Physics 2018-07-24 Motohiko Ezawa

Dual topological insulators (DTIs) are simultaneously protected by time-reversal and crystal symmetries, representing advantageous alternatives to conventional topological insulators. By combining ab initio calculations and the…

Mesoscale and Nanoscale Physics · Physics 2025-02-24 Warlley H. Campos , Poliana H. Penteado , Julian Zanon , Paulo E. Faria Junior , Denis R. Candido , J. Carlos Egues

The search for inversion asymmetric topological insulators (IATIs) persists as an effect for realizing new topological phenomena. However, so for only a few IATIs have been discovered and there is no IATI exhibiting a large band gap…

Materials Science · Physics 2015-09-02 Yandong Ma , Liangzhi Kou , Binghai Yan , Chengwang Niu , Ying Dai , Thomas Heine

We calculate the local density of states of two prototypical topological insulators (Bi$_2$Se$_3$ and Bi$_2$Te$_2$Se) as a function of distance from the surface within density functional theory. We find that, in the absence of disorder or…

Mesoscale and Nanoscale Physics · Physics 2015-10-08 Benjamin M. Fregoso , Sinisa Coh

Topological crystalline insulators are materials in which the crystalline symmetry leads to topologically protected surface states with a chiral spin texture, rendering them potential candidates for spintronics applications. Using scanning…

Three-dimensional (3-D) topological insulators (TI) are characterized by the presence of metallic surface states and a bulk band gap. Recently theoretical and experimental studies have shown an induced gap in the surface state bands of TI…

Mesoscale and Nanoscale Physics · Physics 2012-12-21 Jiwon Chang , Leonard F. Register , Sanjay K. Banerjee

The recent discovery of topological insulator (TI) offers new opportunities for the development of thermoelectrics, because many TIs (like Bi$_2$Te$_3$) are excellent thermoelectric (TE) materials. In this review, we will first describe the…

Materials Science · Physics 2016-10-26 Yong Xu

We investigate the lattice and electronic structures of the bulk and surface of the prototypical layered topological insulators Bi$_2$Se$_3$ and Bi$_2$Te$_3$ using ab initio density functional methods, and systematically compare the results…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 K. Shirali , W. A. Shelton , I. Vekhter

Topological insulators are new class of quantum materials, which have insulating energy gaps in bulk, but exhibit gapless edge states or surface states that are protected by time-reversal symmetry at boundary. It was theoretically predicted…

Mesoscale and Nanoscale Physics · Physics 2018-03-07 G. H. Cao , H. J. Liu , J. H. Liang , L. Cheng , D. D. Fan , Z. Y. Zhang

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 insulators (TIs) are bulk insulators with exotic 'topologically protected' surface conducting modes. It has recently been pointed out that when stacked together, interactions between surface modes can induce diverse phases…

Topological insulators are new quantum states with helical gapless edge or surface states inside the bulk band gap.These topological surface states are robust against the weak time-reversal invariant perturbations, such as lattice…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Haijun Zhang , Shou-Cheng Zhang

Topological insulators and semimetals as well as unconventional iron-based superconductors have attracted major recent attention in condensed matter physics. Previously, however, little overlap has been identified between these two vibrant…

Angle resolved photoemission spectroscopy (ARPES) studies were performed on two compounds (TlBiTe$_2$ and TlBiSe$_2$) from a recently proposed three dimensional topological insulator family in Thallium-based III-V-VI$_2$ ternary…

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

Topological semimetals, such as Dirac, Weyl, or line-node semimetals, are gapless states of matter characterized by their nodal band structures and surface states. In this work, we consider layered (topologically trivial) insulating systems…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Saavanth Velury , Taylor L. Hughes

Topological materials (TMs) are well-known for their topological protected properties. Phononic system has the advantage of direct observation and engineering of topological phenomena on the macroscopic scale. For the inverse design of 3D…

Applied Physics · Physics 2023-06-14 Jiachen Luo , Zongliang Du , Hui Chen , Xianggui Ding , Chang Liu , Weisheng Zhang , Xu Guo

We predict a new family of robust two-dimensional (2D) topological insulators in van der Waals heterostructures comprising graphene and chalcogenides BiTeX (X=Cl, Br and I). The layered structures of both constituent materials produce a…

Materials Science · Physics 2014-12-25 Liangzhi Kou , Shu-Chun Wu , Claudia Felser , Thomas Frauenheim , Changfeng Chen , Binghai Yan
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