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Semimetals, in which conduction and valence bands touch but do not form Fermi surfaces, have attracted considerable interest for their anomalous properties starting with the discovery of Dirac matter in graphene and other two-dimensional…

Strongly Correlated Electrons · Physics 2018-09-11 Dennis Wawrzik , David Lindner , Maria Hermanns , Simon Trebst

Within 4 different crystal structures, 2280 ternary intermetallic configurations have been investigated via high-throughput density functional theory calculations in order to discover new semiconducting materials. The screening is…

Materials Science · Physics 2018-10-17 Celine Barreteau , Jean-Claude Crivello , Jean-Marc Joubert , Eric Alleno

We study the chemical rules for predicting and understanding topological states in stacked kagome and honeycomb lattices in both analytical and numerical ways. Starting with a minimal five-band tight-binding model, we sort out all the…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Liqin Zhou , Fazhi Yang , Shuai Zhang , Tiantian Zhang

We review topological properties of two series of ternary compounds AMgBi (A=K, RB, Cs) and ABC with a hexagonal ZrBeSi type structure. The first series of materials AMgBi are predicted to be topological critical Dirac semimetals. The…

Materials Science · Physics 2019-06-11 Shengshan Qin , Congcong Le , Xianxin Wu , Jiangping Hu

We have extended our new materials class search for the experimental realization of Z2 topological insulators from binary [Bi2Se3-class, Xia et.al., Nature Phys. 5, 398 (2009)] and the ternary [Half-Heusler class, Lin et.al.,…

Mesoscale and Nanoscale Physics · Physics 2010-04-08 H. Lin , L. A. Wray , Y. Xia , S. -Y. Xu , S. Jia , R. J. Cava , A. Bansil , M. Z. Hasan

We adapt the topological quantum chemistry formalism to layer groups, and apply it to study the band topology of 8,872 entries from the computational two-dimensional (2D) materials databases C2DB and MC2D. In our analysis, we find 4,073…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Urko Petralanda , Yi Jiang , B. Andrei Bernevig , Nicolas Regnault , Luis Elcoro

"Topological Quantum Chemistry (TQC) links the chemical and symmetry structure of a given material with its topological properties. This field tabulates the data of the 10398 real-space atomic limits of materials, and solves the…

Materials Science · Physics 2019-11-15 M. G. Vergniory , L. Elcoro , C. Felser , N. Regnault , B. A. Bernevig , Z. Wang

Topological band insulators and (semi-) metals can arise out of atomic insulators when the hopping strength between electrons increases. Such topological phases are separated from the atomic insulator by a bulk gap closing. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2022-04-21 Xiao-Ping Li , Da-Shuai Ma , Cheng-Cheng Liu , Zhi-Ming Yu , Yugui Yao

The paradigm of classifying three-dimensional (3D) topological insulators into strong and weak ones (STI and WTI) opens the door for the discovery of various topological phases of matter protected by different symmetries and defined in…

We demonstrate that first-principles based adiabatic continuation approach is a very powerful and efficient tool for constructing topological phase diagrams and locating non-trivial topological insulator materials. Using this technique, we…

Materials Science · Physics 2013-10-31 Hsin Lin , Tanmoy Das , Yung Jui Wang , L. A. Wray , S. -Y. Xu , M. Z. Hasan , A. Bansil

One of the most exciting subjects in solid state physics is a single layer of graphite which exhibits a variety of unconventional novel properties. The key feature of its electronic structure are linear dispersive bands which cross in a…

Topological insulators (TIs) are a new quantum state of matter which have gapless surface states inside the bulk energy gap. Starting with the discovery of two dimensional TIs, the HgTe-based quantum wells, many new topological materials…

Materials Science · Physics 2012-12-03 Lukas Müchler , Frederick Casper , Binghai Yan , Stanislav Chadov , Claudia Felser

Topological materials in crystal solids, including topological insulators (TIs), topological crystalline insulators (TCIs), topological Dirac semimetals (DSMs), topological Weyl semimetals (WSMs), topological Dirac or Weyl nodal line…

Materials Science · Physics 2017-05-05 Xing-Qiu Chen

Honeycomb structure has been frequently observed in two-dimensional (2D) materials. CuAu in the buckled honeycomb (BHC) structure has been synthesized recently, which is the first case of 2D intermetallic compounds. Here, the dynamical…

Materials Science · Physics 2021-08-26 Shota Ono

Topological phase transition in a single material usually refers to transitions between a trivial band insulator and a topological Dirac phase, but the transition may also occur between different classes of topological Dirac phases.…

Materials Science · Physics 2018-06-13 Hui-Xiong Deng , Zhi-Gang Song , Shu-Shen Li , Su-Huai Wei , Jun-Wei Luo

We report the discovery of weak topological insulators by ab initio calculations in a honeycomb lattice. We propose a structure with an odd number of layers in the primitive unit-cell as a prerequisite for forming weak topological…

Materials Science · Physics 2012-09-27 Binghai Yan , Lukas Muechler , Claudia Felser

The past decade's apparent success in predicting and experimentally discovering distinct classes of topological insulators (TIs) and semimetals masks a fundamental shortcoming: out of 200,000 stoichiometric compounds extant in material…

Mesoscale and Nanoscale Physics · Physics 2017-07-21 Barry Bradlyn , L. Elcoro , Jennifer Cano , M. G. Vergniory , Zhijun Wang , C. Felser , M. I. Aroyo , B. Andrei Bernevig

We investigate topological phases in two-dimensional Bi/Sb honeycomb crystals considering planar, buckled, freestanding and deposited on a substrate structures. We use the multi-orbital tight-binding model and compare results with density…

Materials Science · Physics 2018-09-26 N. Nouri , M. Bieniek , M. Brzezinska , M. Modarresi , S. Zia Borujeni , Gh. Rashedi , A. Wojs , P. Potasz

Topological insulators (TI) realize a novel state of quantum matter that are distinguished by topological invariants of bulk band structure rather than spontaneously broken symmetries. A number of exotic quantum phenomena have been…

Mesoscale and Nanoscale Physics · Physics 2012-01-26 H. Lin , L. A. Wray , Y. Xia , S. Jia , R. J. Cava , A. Bansil , M. Z. Hasan

We predict a new class of topological crystalline insulators (TCI) in the anti-perovskite material family with the chemical formula A$_3$BX. Here the nontrivial topology arises from band inversion between two $J=3/2$ quartets, which is…

Strongly Correlated Electrons · Physics 2014-09-02 Timothy H. Hsieh , Junwei Liu , Liang Fu
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