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We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological invariant distinct from the conventional…

Strongly Correlated Electrons · Physics 2014-07-18 Sheng-Tao Wang , Dong-Ling Deng , Lu-Ming Duan

A 3D fermionic topological insulator has a gapless Dirac surface state protected by time-reversal symmetry and charge conservation symmetry. The surface state can be gapped by introducing ferromagnetism to break time-reversal symmetry,…

Strongly Correlated Electrons · Physics 2013-09-24 Parsa Bonderson , Chetan Nayak , Xiao-Liang Qi

Several topological electronic materials have been theoretically predicted, leading to a comprehensive catalog systematically characterized by their band crossings. Researchers have attempted to experimentally verify the topological nature…

Materials Science · Physics 2025-06-02 Prakash Pandey , Sudhir K. Pandey

We show the occurence of Dirac, Triple point, Weyl semimetal and topological insulating phase in a single ternary compound using specific symmetry preserving perturbations. Based on {\it first principle} calculations, \textbf{\textit{k.p}}…

Materials Science · Physics 2019-05-15 Chiranjit Mondal , C. K. Barman , Aftab Alam , Biswarup Pathak

Dirac semimetal is a class of semi-metallic phase protected by certain types of crystalline symmetries, and its low-energy effective Hamiltonian is described by Dirac equations in three dimensions (3D). Despite of various theoretical…

Mesoscale and Nanoscale Physics · Physics 2016-05-17 Rui-Xing Zhang , Chao-Xing Liu

Materials with strong spin-orbit coupling have attracted attention following the prediction and subsequent discovery of strong two- and three-dimensional topological insulators in which a topological property of the bulk band structure of…

We study topological properties of density wave states with broken translational symmetry in two-dimensional multi-orbital systems with a particular focus on t$_{2g}$ orbitals in square lattice. Due to distinct symmetry properties of…

Strongly Correlated Electrons · Physics 2015-05-19 Bohm-Jung Yang , Hae-Young Kee

Realizing stable two-dimensional (2D) Dirac points against spin-orbit coupling (SOC) has attracted much attention because it provides a platform to study the unique transport properties. In previous work, Young and Kane [Phys. Rev. Lett.…

Mesoscale and Nanoscale Physics · Physics 2020-12-08 Y. J. Jin , B. B. Zheng , X. L. Xiao , Z. J. Chen , Y. Xu , H. Xu

The discovery of graphene has stimulated enormous interest in two-dimensional (2D) electron gas with linear band structure. 2D Dirac materials possess many intriguing physical properties such as high carrier mobility and zero-energy Landau…

We explore the 32 crystallographic point groups and identify topological phases of matter with robust surface modes. For n =3,4 and 6 of the C_{nv} groups, we find the first-known 3D topological insulators without spin-orbit coupling, and…

Strongly Correlated Electrons · Physics 2014-09-17 A. Alexandradinata , Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

Nonsymmorphic crystalline symmetries provide a robust route to symmetry-protected electronic topology, yet their role in stabilizing intrinsic topological superconductivity remains largely unexplored. Here, we report \ch{TaPtSi} as a new…

Three-dimensional Dirac and Weyl semimetals have attracted widespread interest in condensed matter physics and material science. Here, based on first-principles calculations and symmetry analysis, we report that Ag$_2$S with…

Materials Science · Physics 2019-11-20 Zhenwei Wang , Kaifa Luo , Jianzhou Zhao , Rui Yu

Layered van der Waals (vdW) topological materials, especially the recently discovered MnBi$_2$Te$_4$-family magnetic topological insulators (TIs), have aroused great attention. However, there has been a serious debate about whether the…

Mesoscale and Nanoscale Physics · Physics 2023-08-11 Dinghui Wang , Huaiqiang Wang , Dingyu Xing , Haijun Zhang

Topological defects are singularities within a field that cannot be removed by continuous transformations. The definition of these irregularities requires an ordered reference configuration, calling into question whether they exist in…

Soft Condensed Matter · Physics 2025-01-06 Vinay Vaibhav , Arabinda Bera , Amelia C. Y. Liu , Matteo Baggioli , Peter Keim , Alessio Zaccone

We review recent experimental progresses on layered topological materials, mainly focusing on transitional metal dichalcogenides with various lattice types including 1T, Td and 1T' structural phases. Their electronic quantum states are…

Mesoscale and Nanoscale Physics · Physics 2019-03-25 Junchao Ma , Ke Deng , Lu Zheng , Sanfeng Wu , Zheng Liu , Shuyun Zhou , Dong Sun

Emergent Dirac fermion states underlie many intriguing properties of graphene, and the search for them constitute one strong motivation to explore two-dimensional (2D) allotropes of other elements. Phosphorene, the ultrathin layers of black…

The recent discovery of higher-order topology has largely enriched the classification of topological materials. Theoretical and experimental studies have unveiled various higher-order topological insulators that exhibit topologically…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Zihao Wang , Dongjue Liu , Hau Tian Teo , Qiang Wang , Haoran Xue , Baile Zhang

Recent theories and experiments have suggested that strong spin-orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator, which can show macroscopic entanglement…

Mesoscale and Nanoscale Physics · Physics 2009-08-26 Y. Xia , D. Qian , D. Hsieh , L. Wray , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

Combining multiple emergent correlated properties such as superconductivity and magnetism within the topological matrix can have exceptional consequences in garnering new and exotic physics. Here, we study the topological surface states…

High-order topological charge is of intensive interest in the field of topological matters. In real materials, cubic Dirac point is rare and the chiral charge of one Weyl point (WP) has never be found to exceed |C| = 3 for spin- 1/2…

Materials Science · Physics 2021-10-04 Peng-Jen Chen , Wan-Ju Li , Ting-Kuo Lee