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Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

Topological insulators in the Bi2Se3 family have an energy gap in the bulk and a gapless surface state consisting of a single Dirac cone. Low frequency optical absorption due to the surface state is universally determined by the fine…

材料科学 · 物理学 2015-03-17 Xiao Zhang , Jing Wang , Shou-Cheng Zhang

"Topological Quantum Chemistry (TQC) links the chemical and symmetry structure of a given material with its topological properties. This field tabulates the data of the 10398 real-space atomic limits of materials, and solves the…

材料科学 · 物理学 2019-11-15 M. G. Vergniory , L. Elcoro , C. Felser , N. Regnault , B. A. Bernevig , Z. Wang

Topological insulators (TIs) are materials that have a bulk electronic band gap like an ordinary insulator but have protected conducting states on their surface. One of the most interesting properties of TIs is their spin helicity, whereby…

介观与纳米尺度物理 · 物理学 2013-07-19 Xuetao Zhu , Colin Howard , Jiandong Guo , Michael El-Batanouny

Topological insulators are states of matter distinguished by the presence of symmetry protected metallic boundary states. These edge modes have been characterised in terms of transport and spectroscopic measurements, but a thermodynamic…

介观与纳米尺度物理 · 物理学 2016-08-24 Anton Quelle , Emilio Cobanera , Cristiane Morais Smith

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…

强关联电子 · 物理学 2021-10-29 Shouvik Sur , Pallab Goswami

Topological band insulators (TBIs) are bulk insulating materials which feature topologically protected metallic states on their boundary. The existing classification departs from time-reversal symmetry, but the role of the crystal lattice…

介观与纳米尺度物理 · 物理学 2013-02-15 Robert-Jan Slager , Andrej Mesaros , Vladimir Juricic , Jan Zaanen

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…

介观与纳米尺度物理 · 物理学 2014-01-07 M. Zahid Hasan , Su-Yang Xu , David Hsieh , L. Andrew Wray , Yuqi Xia

Two-dimensional (2D) topological insulator (TI) have been recognized as a new class of quantum state of matter. They are distinguished from normal 2D insulators with their nontrivial band-structure topology identified by the $Z_2$ number as…

Topological phases, especially topological crystalline insulators (TCIs), have been intensively explored observed experimentally in three-dimensional (3D) materials. However, the two-dimensional (2D) films are explored much less than 3D…

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…

介观与纳米尺度物理 · 物理学 2012-12-21 Jiwon Chang , Leonard F. Register , Sanjay K. Banerjee

Topologically gapless edge states, characterized by topological invariants and Berry's phases of bulk energy bands, provide amazing techniques to robustly control the reflectionless propagation of electrons, photons and phonons. Recently, a…

介观与纳米尺度物理 · 物理学 2019-05-29 Haiyan Fan , Baizhan Xia , Liang Tong , Shengjie Zheng , Dejie Yu

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

Topological crystalline insulators (TCIs) are insulating materials whose topological property relies on generic crystalline symmetries. Based on first-principles calculations, we study a three-dimensional (3D) crystal constructed by…

材料科学 · 物理学 2015-12-03 Youngkuk Kim , C. L. Kane , E. J. Mele , Andrew M. Rappe

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

强关联电子 · 物理学 2013-01-04 Ari M. Turner , Ashvin Vishwanath

Gapless boundary modes at the interface between topologically distinct regions are one of the most salient manifestations of topology in physics. Metallic boundary states of time-reversal-invariant topological insulators (TIs), a…

材料科学 · 物理学 2017-02-14 Hyungjun Lee , Oleg V. Yazyev

The studies of topological phases of matter have been extended from condensed matter physics to photonic systems, resulting in fascinating designs of robust photonic devices. Recently, higher-order topological insulators (HOTIs) have been…

介观与纳米尺度物理 · 物理学 2019-06-19 Bi-Ye Xie , Guang-Xu Su , Hong-Fei Wang , Hai Su , Xiao-Peng Shen , Peng Zhan , Ming-Hui Lu , Zhen-Lin Wang , Yan-Feng Chen

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…

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

Based on first-principles calculations, we predict Bi2TeI, a stoichiometric compound synthesized, to be a weak topological insulator (TI) in layered subvalent bismuth telluroiodides. Within a bulk energy gap of 80 meV, two Dirac-cone-like…

材料科学 · 物理学 2015-08-17 Peizhe Tang , Binghai Yan , Wendong Cao , Shu-Chun Wu , Claudia Felser , Wenhui Duan