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The unusual electronic states found in topological materials can enable a new generation of devices and technologies, yet a long-standing challenge has been finding materials without deleterious parallel bulk conduction. This can arise…

Materials Science · Physics 2020-11-05 Matthew Brahlek

The layered WHM - type (W=Zr/Hf/La, H=Si/Ge/Sn/Sb, M=S/Se/Te) materials represent a large family of topological semimetals, which provides an excellent platform to study the evolution of topological semimetal state with the fine tuning of…

Materials Science · Physics 2018-04-04 Jin Hu , Yanglin Zhu , David Graf , Zhijie Tang , Zhiqiang Mao

Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this paper, we consider semimetals which have point like Fermi surfaces in various spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Srinidhi T. Ramamurthy , Taylor L. Hughes

Transition metal trichalcogenides (TMTs), a family of van der Waals materials, have gained increasing interests from the discovery of magnetism in few-layer forms. Although TMTs with 3d transition metal elements have been studied…

Materials Science · Physics 2018-04-27 Yusuke Sugita , Takashi Miyake , Yukitoshi Motome

We report the discovery of several classes of novel topological insulators (TIs) with hybrid-order boundary states generated from the first-order TIs with additional crystalline symmetries. Unlike the current studies on hybrid-order TIs…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

Topological insulators are a novel class of quantum materials in which time-reversal symmetry, relativistic (spin-orbit) effects and an inverted band structure result in electronic metallic states on the surfaces of bulk crystals. These…

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

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…

The discovery of topological insulators (TIs), materials with bulk band gaps and protected cross-gap surface states, in compounds such as Bi2Se3 has generated much interest in identifying topological surface states (TSSs) in other classes…

We have given a summary on our theoretical predictions of three kinds of topological semimetals (TSMs), namely, Dirac semimetal (DSM), Weyl semimetal (WSM) and Node-Line Semimetal (NLSM). TSMs are new states of quantum matters, which are…

Materials Science · Physics 2016-06-30 Hongming Weng , Xi Dai , Zhong Fang

Topologically protected fermionic quasiparticles occur in metals with band degeneracy as a consequence of band structure topology. Here we unveil topological semimetal and metal phases in a variety of non-symmorphic collinear…

Strongly Correlated Electrons · Physics 2017-04-12 Wojciech Brzezicki , Mario Cuoco

The link between crystal and electronic structure is crucial for understanding structure-property relations in solid-state chemistry. In particular, it has been instrumental in understanding topological materials, where electrons behave…

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

Topological insulators (TIs) represent a novel quantum state of matter, characterized by edge or surface-states, showing up on the topological character of the bulk wave functions. Allowing electrons to move along their surface, but not…

Crystalline topological phases have recently attracted a lot of experimental and theoretical attention. Key advances include the complete elementary band representation analyses of crystalline matter by symmetry indicators and the discovery…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 Eyal Cornfeld , Adam Chapman

Topological phases of matter are classified based on their Hermitian Hamiltonians, whose real-valued dispersions together with orthogonal eigenstates form nontrivial topology. In the recently discovered higher-order topological insulators…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 He Gao , Haoran Xue , Zhongming Gu , Tuo Liu , Jie Zhu , Baile Zhang

Theoretical prediction of topological superconductivity is key to their discovery. Recently, it is proved that in 199 out of 230 space groups, topological superconductivity coexists with an $s$-wave-like pairing symmetry, raising the hope…

Superconductivity · Physics 2025-07-11 Zhongyi Zhang , Ken Shiozaki , Chen Fang , Seishiro Ono

Topological phases of matter have established a new paradigm in physics, bringing quantum phenomena to the macroscopic scale and hosting exotic emergent quasiparticles. In this thesis, I theoretically and experimentally demonstrate with my…

Strongly Correlated Electrons · Physics 2020-11-03 Ilya Belopolski

Topological photonics provides a robust and flexible platform for controlling light, enabling functionalities such as backscattering-immune edge transport and slow-light propagation. In this work, we design and characterize photonic…

Optics · Physics 2025-05-12 Ondřej Novák , Martin Veis , Gervasi Herranz

We investigate the robustness of {\it virtual} topological states -- topological phases away from the Fermi energy -- against the electron-electron interaction and band filling. As a case study, we employ a realistic model to investigate…

Materials Science · Physics 2025-05-20 Felipe Crasto de Lima , Roberto H. Miwa , Caio Lewenkopf , Adalberto Fazzio
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