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Topological insulators and semimetals as well as unconventional iron-based superconductors have attracted major recent attention in condensed matter physics. Previously, however, little overlap has been identified between these two vibrant…

Topological phases, such as Chern insulators, are defined in terms of additive indices that are stable against the addition of trivial degrees of freedom. Such topology presents an obstruction to any Wannier representation, namely, the…

Mesoscale and Nanoscale Physics · Physics 2018-09-20 Hoi Chun Po , Haruki Watanabe , Ashvin Vishwanath

The study of topological band insulators has revealed fascinating phases characterized by band topology indices and anomalous boundary modes protected by global symmetries. In strongly correlated systems, where the traditional notion of…

Strongly Correlated Electrons · Physics 2025-06-12 Chao Xu , Yixin Ma , Shenghan Jiang

The search for large band gap systems with dissipationless edge states is essential to developing materials that function under a wide range of temperatures. Two-dimensional (2D) topological insulators (TIs) have recently attracted…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Lauryn Wu , Kunming Gu , Qiliang Li

Disorder in atomic positions can induce a topologically nontrivial phase - topological Anderson insulator (TAI) - for transverse electric optical quasimodes of a two-dimensional honeycomb lattice of immobile atoms. TAI requires both…

Quantum Gases · Physics 2024-06-13 Sergey E. Skipetrov , Pierre Wulles

In this letter, we predict the emergence of non-trivial band topology in the family of XX'Bi compounds having $P\overline{6}2m$ (\# 189) space group. Using first principles calculations within hybrid functional framework, we demonstrate…

Materials Science · Physics 2019-10-02 Chiranjit Mondal , C. K. Barman , Sourabh Kumar , Aftab Alam , Biswarup Pathak

We predict a new class of three-dimensional topological insulators (TIs) in which the spin-orbit coupling (SOC) can more effectively generate a large band gap at $\Gamma$ point. The band gap of conventional TI such as Bi$_2$Se$_3$ is mainly…

Mesoscale and Nanoscale Physics · Physics 2017-01-02 Shu-Ting Pi , Hui Wang , Jeongwoo Kim , Ruqian Wu , Yin-Kuo Wang , Chi-Ken Lu

Three dimensional (3D) topological insulators are novel states of quantum matter that feature spin-momentum locked helical Dirac fermions on their surfaces and hold promise to open new vistas in spintronics, quantum computing and…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , A. Petersen , A. Fedorov , H. Lin , A. Bansil , Y. S. Hor , D. Grauer , R. J. Cava , M. Z. Hasan

The search for exotic new topological states of matter in widely accessible materials, for which the manufacturing process is mastered, is one of the major challenges of the current topological physics. Here we predict higher order…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Sergey S. Krishtopenko

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…

Certain band insulators allow for the adiabatic pumping of quantized charge or spin for special time-dependences of the Hamiltonian. These "topological pumps" are closely related to two dimensional topological insulating phases of matter…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 Dganit Meidan , Tobias Micklitz , Piet W. Brouwer

Symmetries play a crucial role in the classification of topological phases of matter. Although recent studies have established a powerful framework to search for and classify topological phases based on symmetry indicators, there exists a…

Quantum Physics · Physics 2022-10-11 W. -D. Zhao , Y. -B. Yang , Y. Jiang , Z. -C. Mao , W. -X. Guo , L. -Y. Qiu , G. -X. Wang , L. Yao , L. He , Z. -C. Zhou , Y. Xu , L. -M. Duan

Topological states of matter are characterized by global topological invariants which change their value across a topological quantum phase transition. It is commonly assumed that the transition between topologically distinct noninteracting…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Vladimir Juricic , D. S. L. Abergel , A. V. Balatsky

Topologically protected edge channels show prospects for quantum devices. They have been found experimentally in two-dimensional (2D) quantum spin Hall insulators (QSHIs), weak topological insulators and higher-order topological insulators…

Fractional Chern insulators (FCIs), having properties similar to those of the fractional quantum Hall effect, have been established numerically in various toy models. To fully explore their fundamental physics and to develop practical…

Strongly Correlated Electrons · Physics 2016-11-26 Wei Li , Zheng Liu , Yong-Shi Wu , Yan Chen

Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Wei Jia , Yuping Tian , Huanhuan Yang , Xiangru Kong , Zhi-Hao Huang , Wei-Jiang Gong , Jun-Hong An

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…

Materials Science · Physics 2011-03-15 Liang Fu

Dozens of layered V$_2$IV$_2$VI$_6$ (V=P, As, Sb, Bi, IV=Si, Ge, Sn, Pb, VI=S, Se, Te) materials are investigated, several of which have been successfully synthesized in experiment. Among them, we predict nine strong topological insulators…

Materials Science · Physics 2019-09-17 Ping Li , Jiangying Yu , Jinrong Xu , Li Zhang , Kai Huang

The formation of two-dimensional metal-organic frameworks (MOFs) on an inert surface of a topological insulator (TI) is a pathway to engineer quantum materials with exotic properties. MOFs featuring ferromagnetically coupled metal atoms are…

The discoveries of intrinsically magnetic topological materials, including semimetals with a large anomalous Hall effect and axion insulators, have directed fundamental research in solid-state materials. Topological quantum chemistry has…

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