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In this Book Chapter (invited) we briefly review the basic concepts defining topological insulators and focus on elaborating on the key experimental results that revealed and established their symmetry protected (SPT) topological nature. We…

介观与纳米尺度物理 · 物理学 2015-02-17 M. Zahid Hasan , Su-Yang Xu , Madhab Neupane

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

介观与纳米尺度物理 · 物理学 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

Topological insulators are characterized by insulating bulk and conducting surface, the latter is a necessity consequence of the nontrivial topology of the wavefunctions forming the valence band. This chapter gives a historical overview of…

介观与纳米尺度物理 · 物理学 2023-07-27 Yoichi Ando

Crystalline topological phases have recently attracted a lot of experimental and theoretical attention. Key advances include the complete elementary band representation analyses of crystalline matter by symmetry indicators and the discovery…

介观与纳米尺度物理 · 物理学 2019-02-13 Eyal Cornfeld , Adam Chapman

Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on…

材料科学 · 物理学 2013-09-04 Yoichi Ando

Topological surface states, a new kind of electronic state of matter, have recently been observed on the cleaved surfaces of crystals of a handful of small band gap semiconductors. The underlying chemical factors that enable these states…

材料科学 · 物理学 2013-07-19 R. J. Cava , Huiwen Ji , M. K. Fuccillo , Q. D. Gibson , Y. S. Hor

Topological insulators are a new class of materials that have engendered considerable research interest among the condensed matter community owing primarily to their application prospects in quantum computations and spintronics. Many of the…

光学 · 物理学 2021-08-24 Nitish Kumar Gupta , Arun M. Jayannavar

The rise of topological insulators in recent years has broken new ground both in the conceptual cognition of condensed matter physics and the promising revolution of the electronic devices. It also stimulates the explorations of more…

材料科学 · 物理学 2016-11-23 Jianfeng Wang , Na Wang , Huaqing Huang , Wenhui Duan

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known…

强关联电子 · 物理学 2012-01-26 M. Zahid Hasan , Joel E. Moore

Topological crystalline insulators are new states of matter in which the topological nature of electronic structures arises from crystal symmetries. Here we predict the first material realization of topological crystalline insulator in the…

材料科学 · 物理学 2012-08-01 Timothy H. Hsieh , Hsin Lin , Junwei Liu , Wenhui Duan , Arun Bansil , Liang Fu

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

介观与纳米尺度物理 · 物理学 2017-08-18 Arijit Saha , Arun M. Jayannavar

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point…

材料科学 · 物理学 2011-03-15 Liang Fu

Topology, a mathematical concept, has recently become a popular and truly transdisciplinary topic encompassing condensed matter physics, solid state chemistry, and materials science. Since there is a direct connection between real space,…

材料科学 · 物理学 2021-03-23 Nitesh Kumar , Satya N. Guin , Kaustuv Manna , Chandra Shekhar , Claudia Felser

We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like…

介观与纳米尺度物理 · 物理学 2021-04-30 Titus Neupert , Frank Schindler

Topological insulators are innovative materials with semiconducting bulk together with surface states forming a Dirac cone, which ensure metallic conduction in the surface plane. Therefore, topological insulators represent an ideal platform…

应用物理 · 物理学 2019-04-02 Antonio Politano , Leonardo Viti , Miriam S. Vitiello

Topological quantum materials hold great promise for future technological applications. Their unique electronic properties, such as protected surface states and exotic quasiparticles, offer opportunities for designing novel electronic…

强关联电子 · 物理学 2024-05-28 Christian Stefan Gruber , Mahmoud Abdel-Hafiez

Topological insulators, featuring bulk-boundary correspondence, have been realized on a large number of noncrystalline materials, among which amorphous network, quasicrystals and fractal lattices are the most prominent ones. By contrast,…

超导电性 · 物理学 2024-05-10 Sourav Manna , Sanjib Kumar Das , Bitan Roy

Ternary semiconducting or metallic half-Heusler compounds with an atomic composition 1:1:1 are widely studied for their flexible electronic properties and functionalities. Recently, a new material property of half-Heusler compounds was…

材料科学 · 物理学 2014-10-28 Binghai Yan , Anne de Visser

Since topological insulators were theoretically predicted and experimentally observed in semiconductors with strong spin-orbit coupling, more and more attention has been drawn to topological materials which host exotic surface states. These…

介观与纳米尺度物理 · 物理学 2015-03-17 Yige Chen , Yuan-Ming Lu , Hae-Young Kee

Confinement of electromagnetic fields at the subwavelength scale via metamaterial paradigms is an established method to engineer light-matter interaction in most common material systems, from insulators to semiconductors, from metals to…

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