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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

While topological phases have been extensively studied in amorphous systems in recent years, it remains unclear whether the random nature of amorphous materials can give rise to higher-order topological phases that have no crystalline…

Disordered Systems and Neural Networks · Physics 2023-11-15 Yu-Liang Tao , Jiong-Hao Wang , Yong Xu

We review recent theoretical progress in the understanding and prediction of novel topological semimetals. Topological semimetals define a class of gapless electronic phases exhibiting topologically stable crossings of energy bands.…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Heng Gao , Jörn W. F. Venderbos , Youngkuk Kim , Andrew M. Rappe

Topological semimetals, such as Dirac, Weyl, or line-node semimetals, are gapless states of matter characterized by their nodal band structures and surface states. In this work, we consider layered (topologically trivial) insulating systems…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Saavanth Velury , Taylor L. Hughes

Magnetic topological semimetals (TSMs) are topological quantum materials with broken time-reversal symmetry (TRS) and isolated nodal points or lines near the Fermi level. Their topological properties would typically reveal from the…

Materials Science · Physics 2019-10-08 Jinyu Zou , Zhuoran He , Gang Xu

Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and study of the Weyl semimetal, with broad applications in…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Adipta Pal , Joe H. Winter , Ashley M. Cook

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 insulators are quantum materials that have an insulating bulk state and a topologically protected metallic surface state with spin and momentum helical locking and a Dirac-like band structure. Unique and fascinating electronic…

Optics · Physics 2018-11-21 Zengji Yue , Xiaolin Wang , Min Gu

Topological metals are special conducting materials with gapless band structures and nontrivial edge-localized resonances, whose discovery has proved elusive because the traditional topological classification methods do not apply in this…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Wenting Cheng , Alexander Cerjan , Ssu-Ying Chen , Emil Prodan , Terry A. Loring , Camelia Prodan

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…

Structural imperfections such as grain boundaries (GBs) and dislocations are ubiquitous in solids and have been of central importance in understanding nature of polycrystals. In addition to their classical roles, advent of topological…

Topology is a fundamental aspect of quantum physics, and it has led to key breakthroughs and results in various fields of quantum materials. In condensed matters, this has culminated in the recent discovery of symmetry-protected topological…

Materials Science · Physics 2023-10-24 Baokai Wang , Yi-Chun Hung , Xiaoting Zhou , Tzen Ong , Hsin Lin

Topological materials present unconventional electronic properties that make them attractive for both basic science and next-generation technological applications. The majority of currently known topological materials have been discovered…

Materials Science · Physics 2023-02-14 Andrew Ma , Yang Zhang , Thomas Christensen , Hoi Chun Po , Li Jing , Liang Fu , Marin Soljačić

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

Systems as diverse as mechanical structures assembled from elastic components, and photonic metamaterials enjoy a common geometrical feature: a sublattice symmetry. This property realizes a chiral symmetry first introduced to characterize a…

Strongly Correlated Electrons · Physics 2022-05-10 Marcelo Guzmán , Denis Bartolo , David Carpentier

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

Topological band insulators (TBIs) are bulk insulating materials which feature topologically protected metallic states on their boundary. The existing classification departs from time-reversal symmetry, but the role of the crystal lattice…

Mesoscale and Nanoscale Physics · Physics 2013-02-15 Robert-Jan Slager , Andrej Mesaros , Vladimir Juricic , Jan Zaanen

Topological crystalline insulators (TCI) possess electronic states protected by crystal symmetries, rather than time-reversal symmetry. We show that the transition metal oxides with heavy transition metals are able to support nontrivial…

Strongly Correlated Electrons · Physics 2015-06-12 Mehdi Kargarian , Gregory A. Fiete

Topological crystalline insulators (TCI) are insulating electronic phases of matter with nontrivial topology originating from crystalline symmetries. Recent theoretical advances have provided powerful guidelines to search for TCIs in real…

In the past few years materials with protected gapless surface (edge) states have risen to the central stage of condensed matter physics. Almost all discussions centered around topological insulators and superconductors, which possess full…

Superconductivity · Physics 2013-10-01 Fa Wang , Dung-Hai Lee