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Topological insulators (TIs) and topological crystalline insulators (TCIs) are materials with unconventional electronic properties, making their discovery highly valuable for practical applications. However, such materials, particularly…

Materials Science · Physics 2026-05-21 Haosheng Xu , Dongheng Qian , Zhixuan Liu , Yadong Jiang , Jing Wang

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

For spinful systems with spin 1/2, it is generally believed that P and T invariant strong and second-order topologies exist in four band and eight band system, respectively. Here, by using periodic driving, we find it is possible to have…

Mesoscale and Nanoscale Physics · Physics 2024-06-14 Hong Wu , Yu-Chen Dong , Hui Liu

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

We have performed angle-resolved photoemission spectroscopy on (PbSe)5(Bi2Se3)3m, which forms a natural multilayer heterostructure consisting of a topological insulator (TI) and an ordinary insulator. For m = 2, we observed a gapped…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 K. Nakayama , K. Eto , Y. Tanaka , T. Sato , S. Souma , T. Takahashi , Kouji Segawa , Yoichi Ando

We present a series of models of three-dimensional rotation-symmetric fragile topological insulators in class AI (time-reversal symmetric and spin-orbit-free systems), which have gapless surface states protected by time-reversal ($T$) and…

Mesoscale and Nanoscale Physics · Physics 2021-11-11 Shingo Kobayashi , Akira Furusaki

Quasi-1D materials Bi$_{4}$X$_{4}$ (X=Br,I) are prototype weak topological insulators (TI) in the $\beta$ phase. For the $\alpha$ phases, recent high-throughput database screening suggests that Bi$_{4}$Br$_{4}$ is a rare higher-order TI…

Mesoscale and Nanoscale Physics · Physics 2020-06-01 Chiho Yoon , Cheng-Cheng Liu , Hongki Min , Fan Zhang

Band structures of topological insulators are characterized by non-local topological invariants. Consequently, proposals for the experimental detection using local probes are rare. A recent paper [Slager et al., Phys. Rev. B 92, 085126…

Mesoscale and Nanoscale Physics · Physics 2020-07-07 Seydou-Samba Diop , Lars Fritz , Matthias Vojta , Stephan Rachel

We report finite-size topology in the quintessential time-reversal (TR) invariant systems, the quantum spin Hall insulator (QSHI) and the three-dimensional, strong topological insulator (STI): previously-identified helical or Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 R. Flores-Calderón , Roderich Moessner , Ashley M. Cook

Hopf insulators represent a unique class of topological insulators that exist exclusively in two-band systems and are inherently unstable upon the inclusion of additional bands. Meanwhile, recent studies have shown that non-Hermiticity…

Mesoscale and Nanoscale Physics · Physics 2025-08-20 Daichi Nakamura , Kohei Kawabata

The recent discovery of topological insulators with exotic metallic surface states has garnered great interest in the fields of condensed matter physics and materials science. A number of spectacular quantum phenomena have been predicted…

Materials Science · Physics 2011-01-07 Wanxiang Feng , Jun Ding , Di Xiao , Yugui Yao

We have performed a systematic investigation of the formation of topologically protected boundary states (TPBS) in topological/normal insulators (TI/NI) heterostructures. Using a recently developed scheme to construct {\it ab-initio}…

Materials Science · Physics 2018-03-26 M. Costa , A. T. Costa , Walter A. Freitas , Tome M. Schmidt , M. Buongiorno Nardelli , A. Fazzio

Three-dimensional topological insulators (3D TIs) represent novel states of quantum matters in which surface states are protected by time-reversal symmetry and an inversion occurs between bulk conduction- and valence-bands. However, the…

Mesoscale and Nanoscale Physics · Physics 2017-02-14 Zhi-Guo Chen , R. Y. Chen , R. D. Zhong , John Schneeloch , C. Zhang , Y. Huang , Fanming Qu , Rui Yu , Q. Li , G. D. Gu , N. L. Wang

Two-dimensional (2D) group V elemental materials have attracted widespread attention due to their nonzero band gap while displaying high electron mobility. Using first-principles calculations, we propose a series of new elemental bilayers…

Materials Science · Physics 2017-07-19 Xiangru Kong , Linyang Li , Ortwin Leenaerts , Xiong-jun Liu , François M. Peeters

Introducing uniform magnetic order in two-dimensional topological insulators (2D TIs) by constructing heterostructures of TI and magnet is a promising way to realize the high-temperature Quantum Anomalous Hall effect. However, the…

Mesoscale and Nanoscale Physics · Physics 2024-10-22 Qun Niu , Jie Yao , Quanchao Song , Humaira Akber , Qin Zhou , Xiaofang Zhai , Aidi Zhao

The band inversion has led to rich physical effects in both topological insulators and topological semimetals. It has been found that the inverted band structure with the Mexican-hat dispersion could enhance the interband correlation…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Furu Zhang , Jianhui Zhou , Di Xiao , Yugui Yao

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 quantum state of matter which have gapless surface states inside the bulk energy gap. Starting with the discovery of two dimensional TIs, the HgTe-based quantum wells, many new topological materials…

Materials Science · Physics 2012-12-03 Lukas Müchler , Frederick Casper , Binghai Yan , Stanislav Chadov , Claudia Felser

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

Recent realizations of exotic topological states in condensed matter and cold atoms have advanced the exploration for topological characteristics, such as invariant topological orders and band inversion. Here we construct a 1D optical…

Optics · Physics 2018-09-14 Jun Jiang , Zhiwei Guo , Weiwei Zhu , Yang Long , Haitao Jiang , Jie Ren , Hong Chen