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Based on DFT calculation, we predict that BiCN, i.e., bilayer Bi films passivated with -CN group, is a novel 2D Bi-based material with highly thermodynamic stability, and demonstrate that it is also a new kind of 2D TI with a giant SOC gap…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Botao Fu , Yanfeng Ge , Wenyong Su , Wei Guo , Cheng-Cheng Liu

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

A single Dirac cone on the surface is the hallmark of three-dimensional (3D) topological insulators, where the double degeneracy at the Dirac point is protected by time-reversal symmetry and the spin-splitting away from the point is…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Ling Lu , Chen Fang , Liang Fu , Steven G. Johnson , John D. Joannopoulos , Marin Soljačić

Topological insulators (TIs) with robust boundary states against perturbations and disorders provide a unique approach for manipulating waves, whereas curved space can effectively control the wave propagation on curved surfaces by the…

Applied Physics · Physics 2021-01-12 H. W. Wu , J. Q. Quan , Y. K. Liu , Y. Pan , Z. Q. Sheng , L. W. Jing

We demonstrate theoretically the coexistence of Dirac semimetal and topological insulator phases in InSb/$\alpha$-Sn conventional semiconductor superlattices, based on advanced first-principles calculations combined with low-energy $k\cdot…

Materials Science · Physics 2016-07-18 Jian-Peng Sun , Jia-ji Zhu , Dong Zhang , Kai Chang

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

The topological band theory predicts that bulk materials with nontrivial topological phases support topological edge states. This phenomenon is universal for various wave systems and has been widely observed for electromagnetic and acoustic…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Hao Hu , Song Han , Yihao Yang , Dongjue Liu , Haoran Xue , Gui-Geng Liu , Zheyu Cheng , Qi Jie Wang , Shuang Zhang , Baile Zhang , Yu Luo

In a Dirac semimetal, the conduction and valence bands contact only at discrete (Dirac) points in the Brillouin zone (BZ) and disperse linearly in all directions around these critical points. Including spin, the low energy effective theory…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 S. M. Young , S. Zaheer , J. C. Y. Teo , C. L. Kane , E. J. Mele , A. M. Rappe

Recently, higher-order topological insulators have been attracting extensive interest. Unlike the conventional topological insulators that demand bulk gap closings at transition points, the higher-order band topology can be changed without…

Other Condensed Matter · Physics 2022-06-15 Juan Du , Tianzi Li , Xiying Fan , Qicheng Zhang , Chunyin Qiu

Single-Dirac-cone topological insulators (TI) are the first experimentally discovered class of three dimensional topologically ordered electronic systems, and feature robust, massless spin-helical conducting surface states that appear at…

The coupled-wires approach has been shown to be useful in describing two-dimensional strongly interacting topological phases. In this manuscript we extend this approach to three-dimensions, and construct a model for a fractional strong…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Eran Sagi , Yuval Oreg

We present an ARPES study of the surface states of Ru$_2$Sn$_3$, a new type of a strong 3D topological insulator (TI). In contrast to currently known 3D TIs, which display two-dimensional Dirac cones with linear isotropic dispersions…

We study the topologically non-trivial semi-metals by means of the 6-band Kane model. Existence of surface states is explicitly demonstrated by calculating the LDOS on the material surface. In the strain free condition, surface states are…

Mesoscale and Nanoscale Physics · Physics 2011-04-14 Rui-Lin Chu , Wen-Yu Shan , Jie Lu , Shun-Qing Shen

Bi$_{2}$Te$_{3}$ and Bi$_{2}$Se$_{3}$ are well known 3D-topological insulators. Films made of these materials exhibit metal-like surface states with a Dirac dispersion and possess high mobility. The high mobility metal-like surface states…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Parijat Sengupta , Tillmann Kubis , Yaohua Tan , Gerhard Klimeck

The interplay between topology and crystalline symmetries in materials can lead to a variety of topological crystalline insulator (TCI) states. Despite significant effort towards their experimental realization, so far only…

Mesoscale and Nanoscale Physics · Physics 2019-11-18 Baokai Wang , Bahadur Singh , Barun Ghosh , Wei-Chi Chiu , M. Mofazzel Hosen , Qitao Zhang , Li Ying , Madhab Neupane , Amit Agarwal , Hsin Lin , Arun Bansil

Topological insulators (TIs) are a unique class of materials characterized by a surface (edge) Dirac cone state of helical Dirac fermions in the middle of bulk (surface) gap. When the thickness (width) of TIs is reduced, however,…

Materials Science · Physics 2013-01-24 Z. F. Wang , Meng-Yu Yao , Wenmei Ming , Lin Miao , Fengfeng Zhu , Canhua Liu , C. L. Gao , Dong Qian , Jin-Feng Jia , Feng Liu

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

We study the appearance of a chiral edge mode on the two-dimensional (2D) surface of a 3D topological insulator (TI). The edge mode appears along the 1D boundary with a magnetic insulator (MI), dependent on the angle $\theta$ which the…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 C. W. J. Beenakker

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

Weak antilocalization (WAL) is expected whenever strong spin-orbit coupling or scattering comes into play. Spin-orbit coupling in the bulk states of a topological insulator is very strong, enough to result in the topological phase…

Mesoscale and Nanoscale Physics · Physics 2011-10-03 Hai-Zhou Lu , Shun-Qing Shen