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Crystalline symmetries play an important role in the classification of band structures, and the rich variety of spatial symmetries in solids leads to various topological crystalline phases (TCPs). However, compared with topological…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

Topological materials discovery has evolved at a rapid pace over the past 15 years following the identification of the first nonmagnetic topological insulators (TIs), topological crystalline insulators (TCIs), and 3D topological semimetals…

The interplay between symmetry and topology leads to a rich variety of electronic topological phases, protecting states such as the topological insulators and Dirac semimetals. Previous results, like the Fu-Kane parity criterion for…

Strongly Correlated Electrons · Physics 2017-08-31 Hoi Chun Po , Ashvin Vishwanath , Haruki Watanabe

Topological materials (TMs) showcase intriguing physical properties defying expectations based on conventional materials, and hold promise for the development of devices with new functionalities. While several theoretically proposed TMs…

Mesoscale and Nanoscale Physics · Physics 2019-04-19 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

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

The rich variety of crystalline symmetries in solids leads to a plethora of topological crystalline insulators (TCIs) featuring distinct physical properties, which are conventionally understood in terms of bulk invariants specialized to the…

Strongly Correlated Electrons · Physics 2018-09-19 Eslam Khalaf , Hoi Chun Po , Ashvin Vishwanath , Haruki Watanabe

The systematic diagnosis of band topology enabled by the method of "symmetry indicators" underlies the recent advances in the search for new materials realizing topological crystalline insulators. Such an efficient method has been missing…

Superconductivity · Physics 2019-08-23 Seishiro Ono , Youichi Yanase , Haruki Watanabe

The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Arun Bansil , Hsin Lin , Tanmoy Das

"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

The intense theoretical and experimental interest in topological insulators and semimetals has established band structure topology as a fundamental material property. Consequently, identifying band topologies has become an important, but…

Recent attempts at topological materials have revealed a large class of materials that show gapless surface states protected by time-reversal symmetry and crystal symmetries. Among them, topological insulating states protected by crystal…

Materials Science · Physics 2023-03-20 J. Howard , A. Rodriguez , N. Haldolaarachchige , K. Hettiarachchilage

Topological materials are quantum materials with nontrivial ground-state entanglement that are irremovable so long as certain rules, like invariance under symmetries and the existence of an energy gap, are respected. They showcase…

Mesoscale and Nanoscale Physics · Physics 2020-06-12 Hoi Chun Po

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

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

One of the main goals and challenges of materials discovery is to find the best candidates for each interest property or application. Machine learning rises in this context to efficiently optimize this search, exploring the immense…

Materials Science · Physics 2021-08-04 Gabriel R. Schleder , Bruno Focassio , Adalberto Fazzio

Two-dimensional (2D) topological materials (TMs) have attracted tremendous attention due to the promise of revolutionary devices with non-dissipative electric or spin currents. Unfortunately, the scarcity of 2D TMs holds back the…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Di Wang , Feng Tang , Jialin Ji , Wenqing Zhang , Ashvin Vishwanath , Hoi Chun Po , Xiangang Wan

Nodal semimetals, materials systems with nodal-point or -line Fermi surfaces, are much sought after for their novel transport and topological properties. Identification of experimental materials candidates, however, has mainly relied on…

Materials Science · Physics 2017-11-06 Ru Chen , Hoi Chun Po , Jeffrey B. Neaton , Ashvin Vishwanath

The discovery of topological insulators has reformed modern materials science, promising to be a platform for tabletop relativistic physics, electronic transport without scattering, and stable quantum computation. Topological invariants are…

Strongly Correlated Electrons · Physics 2019-08-14 Jorrit Kruthoff , Jan de Boer , Jasper van Wezel

The theory of symmetry indicators has enabled database searches for topological materials in normal conducting phases, which has led to several encyclopedic topological material databases. To date, such a database for topological…

Superconductivity · Physics 2022-07-07 Feng Tang , Seishiro Ono , Xiangang Wan , Haruki Watanabe
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