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Higher-order topological insulators have triggered great interests because of exhibitions of non-trivial bulk topology on lower-dimensional boundaries like corners and hinges. While such interesting phases have been investigated in a…

Mesoscale and Nanoscale Physics · Physics 2023-01-11 Ya-Jie Wu , Wen He , Ning Li , Zhitong Li , Junpeng Hou

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…

Materials Science · Physics 2017-11-22 Yi-zhen Jia , Wei-xiao Ji , Chang-wen Zhang , Ping Li , Shu-feng Zhang , Pei-ji Wang , Sheng-shi Li , Shi-shen Yan

We investigate the effects of temperature on the higher-order topological insulators (HOTIs). The finite-temperature topological invariants for the HOTIs can be constructed by generalizing the Resta's polarization for the ground state to…

Statistical Mechanics · Physics 2025-05-07 Congwei Lu , Lixiong Wu , Qing Ai

Topological insulators have been extended to higher-order versions that possess topological hinge or corner states in lower dimensions. However, their robustness against disorder is still unclear. Here, we theoretically investigate the…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yedi Shen , Zeyu Li , Qian Niu , Zhenhua Qiao

We identify the possibility of realizing higher order topological (HOT) phases in noncrystalline or amorphous materials. Starting from two and three dimensional crystalline HOT insulators, accommodating topological corner states, we…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Adhip Agarwala , Vladimir Juricic , Bitan Roy

The classification of topological insulators predicts the existence of high-dimensional topological phases that cannot occur in real materials, as these are limited to three or fewer spatial dimensions. We use electric circuits to…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 You Wang , Hannah M. Price , Baile Zhang , Y. D. Chong

We study the characterization and realization of higher-order topological Anderson insulator (HOTAI) in non-Hermitian systems, where the non-Hermitian mechanism ensures extra symmetries as well as gain and loss disorder.We illuminate that…

Disordered Systems and Neural Networks · Physics 2021-06-09 Hongfang Liu , Ji-Kun Zhou , Bing-Lan Wu , Zhi-Qiang Zhang , Hua Jiang

Using first-principles calculations within density functional theory, we explore the feasibility of converting ternary half-Heusler compounds into a new class of three-dimensional topological insulators (3DTI). We demonstrate that the…

Materials Science · Physics 2010-10-07 Di Xiao , Yugui Yao , Wanxiang Feng , Jun Wen , Wenguang Zhu , Xingqiu Chen , G. Malcolm Stocks , Zhenyu Zhang

Fractional topological insulators (FTI) are electronic topological phases in $(3+1)$ dimensions enriched by time reversal (TR) and charge $U(1)$ conservation symmetries. We focus on the simplest series of fermionic FTI, whose bulk…

Strongly Correlated Electrons · Physics 2017-10-25 Sharmistha Sahoo , Alexander Sirota , Gil Young Cho , Jeffrey C. Y. Teo

Bound electron-hole pairs in semiconductors known as excitons can form a coherent state at low temperatures akin to a BCS condensate. The resulting phase is known as the excitonic insulator and has superfluid properties. Here we…

Strongly Correlated Electrons · Physics 2025-06-06 L. Maisel Licerán , H. T. C. Stoof

Inspired by recent experimental observations of hybrid topological states [Hossain et al. Nature 628, 527 (2024)], we predict hybrid-order topological insulators in 1H transition metal compounds (TMCs), where both second-order and…

Materials Science · Physics 2024-12-31 Ning-Jing Yang , Zhigao Huang , Jian-Min Zhang

Topological insulators (TIs) are an important family of quantum materials that exhibit a Dirac point (DP) in the surface band structure but have a finite band gap in bulk. A large degree of spin-orbit interaction and low bandgap is a…

Materials Science · Physics 2024-02-22 Thomas K. Reid , S. Pamir Alpay , Alexander V. Balatsky , Sanjeev K. Nayak

The exploration of topological phases remains a cutting-edge research frontier, driven by their promising potential for next-generation electronic and quantum technologies. In this work, we employ first-principles calculations and…

Materials Science · Physics 2026-03-06 Sibin Lü , Jun Hu

The recent discovery of antiferromagnetic (AFM) topological insulator (TI) MnBi$_2$Te$_4$ has triggered great research efforts on exploring novel magnetic topological physics. Based on first-principles calculations, we find that the…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Jiaheng Li , Chong Wang , Zetao Zhang , Bing-Lin Gu , Wenhui Duan , Yong Xu

Quantum spin Hall insulators have one-dimensional (1D) spin-momentum locked topological edge states (ES) inside the bulk band gap, which can serve as dissipationless channels for the practical applications in low consumption electronics and…

Materials Science · Physics 2021-09-01 Jincheng Zhuang , Jin Li , Yundan Liu , Dan Mu , Ming Yang , Yani Liu , Wei Zhou , Weichang Hao , Jianxin Zhong , Yi Du

Topological Insulators (TI) are materials with novel quantum states which exhibit a bulk insulating gap while the edge/surface is conducting. This has been extensively explored in several Half-Heusler (HH) compounds hosting the exotic TI…

We discuss possible topological phase transitions in Ge-based thin films of Ge(Bi$_x$Sb$_{1-x}$)$_2$Te$_4$ as a function of layer thickness and Bi concentration $x$ using the first principles density functional theory framework. The bulk…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 Bahadur Singh , Hsin Lin , R. Prasad , A. Bansil

Higher order topological insulators (HOTI) have emerged as a new class of phases, whose robust in-gap "corner" modes arise from the bulk higher-order multipoles beyond the dipoles in conventional topological insulators. Here, we incorporate…

Strongly Correlated Electrons · Physics 2020-06-02 Biao Huang , W. Vincent Liu

Topological insulators (TIs) are materials that are insulating in the bulk but have zero band gap surface states with linear dispersion and are protected by time reversal symmetry. These unique characteristics could pave the way for many…

Computational Physics · Physics 2024-02-22 Thomas K. Reid , S. Pamir Alpay , Alexander V. Balatsky , Sanjeev K. Nayak

The surface of a higher order topological insulator (HOTI) comprises a two-dimensional topological insulator (TI) with broken inversion symmetry, whose mass is determined by the microscopic details of the surface such as surface potentials…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Raquel Queiroz , Ady Stern
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