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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…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

Topological band insulators which are dynamically generated by electron-electron interactions have been the- oretically proposed in two and three dimensional lattice models. We present evidence that the two-dimensional version can be…

Strongly Correlated Electrons · Physics 2011-11-15 Andreas Rüegg , Gregory A. Fiete

We propose that three-dimensional layered octagonal quasicrystals can host magnetic-field-tunable M\"{o}bius insulators and various higher-order topological insulators (HOTIs), enabled by the interplay of quasicrystalline symmetry and…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Yuxiao Chen , Zhiming Xu , Citian Wang , Huaqing Huang

Higher-order topological phases with invertible symmetries have been extensively studied in recent years, revealing gapless modes localized on boundaries of higher codimension. In this work, we extend the framework of higher-order…

Strongly Correlated Electrons · Physics 2026-05-26 Aswin Parayil Mana , Yabo Li , Hiroki Sukeno , Tzu-Chieh Wei

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…

Materials Science · Physics 2014-10-28 Binghai Yan , Anne de Visser

Based on first-principles calculations and symmetry-based indicator analysis, we find a class of topological crystalline insulators (TCIs) with $C_2$ rotation anomaly in a family of Zintl compounds, including…

Materials Science · Physics 2019-08-14 Tan Zhang , Changming Yue , Tiantian Zhang , Simin Nie , Zhijun Wang , Chen Fang , Hongming Weng , Zhong Fang

In this manuscript, we study the interplay between symmetry and topology with a focus on the $Z_2$ topological index of 2D/3D topological insulators and high-order topological insulators. We show that in the presence of either a…

Mesoscale and Nanoscale Physics · Physics 2020-08-06 Heqiu Li , Kai Sun

Pursuing topological phases in natural and artificial materials is one of the central topics in modern physical science and engineering. In classical magnetic systems, spin waves (or magnons) and magnetic solitons (such as domain wall,…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Z. -X. Li , Yunshan Cao , Peng Yan

Topological materials are typically characterized by gapless boundary states originated from nontrivial bulk band topology, known as topological bulk-boundary correspondence. Recently, this fundamental concept has been generalized in…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 D. M. Zhao , Y. Zhong , T. Yuan , H. T. Wang , T. X. Jiang , Y. Qi , H. J. Xiang , X. G. Gong , D. L. Feng , T. Zhang

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe

We propose that ordinary semiconductors with large spin-orbit coupling (SOC), such as GaAs, can host stable, robust, and {\it tunable} topological states in the presence of quantum confinement and superimposed potentials with hexagonal…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 O. P. Sushkov , A. H. Castro Neto

Three-dimensional topological insulators are classified into "strong" (STI) and "weak" (WTI) according to the nature of their surface states. While the surface states of the STI are topologically protected from localization, this does not…

Materials Science · Physics 2012-07-04 Zohar Ringel , Yaacov E. Kraus , Ady Stern

Two-dimensional higher-order topology is usually studied in (nearly) particle-hole symmetric models, so that an edge gap can be opened within the bulk one. But more often deviates the edge anticrossing even into the bulk, where corner…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Junjie Zeng , Chen Chen , Yafei Ren , Zheng Liu , Wei Ren , Zhenhua Qiao

Gapless surface states of time reversal invariant topological insulators are protected by the anti-unitary nature of the time reversal operation. Very recently, this idea was generalized to magnetic structures, in which time reversal…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 Rui-Xing Zhang , Chao-Xing Liu

Doped strong topological insulators are one of the most promising candidates to realize a fully gapped three-dimensional topological superconductor (TSC). In this letter, we revisit this system and reveal a possibility for higher-order…

Superconductivity · Physics 2022-11-03 Sayed Ali Akbar Ghorashi , Jennifer Cano , Enrico Rossi , Taylor L. Hughes

Gapping of Dirac surface states through time reversal symmetry breaking may realize the axion insulator state in condensed matter. Despite tremendous efforts, only a few material systems fall in this category of intrinsic magnetic…

Strongly Correlated Electrons · Physics 2022-10-12 Mingda Gong , Divyanshi Sar , Joel Friedman , Dariusz Kaczorowski , S. Abdel Razek , Wei-Cheng Lee , Pegor Aynajian

Recent years have seen multiple high-throughput studies reveal an immense number of topological materials through use of symmetry indicators. Despite this success, three-dimensional topological insulators (TI) admitting a band-gap larger…

Materials Science · Physics 2023-04-13 Alexander C. Tyner , Pallab Goswami

Topological crystalline insulators (TCI) are new topological phases of matter protected by crystal symmetry of solids. Recently, the first realization of TCI has been predicted and observed in IV-VI semiconductor SnTe and related alloys…

Materials Science · Physics 2013-12-18 Junwei Liu , Wenhui Duan , Liang Fu

Despite the rapid progress in predicting 2D magnetic second-order topological insulators (SOTIs), effective strategies for manipulating their spin-polarized corner states remain largely unexplored. The interplay between ferroelectricity,…

Materials Science · Physics 2025-02-28 Jialin Gong , Wei Sun , Yang Wu , Zhenzhou Guo , Shifeng Qian , Xiaotian Wang , Gang Zhang

Topological insulators are a recently discovered class of materials with fascinating properties: While the inside of the solid is insulating, fundamental symmetry considerations require the surfaces to be metallic. The metallic surface…

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