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Topological materials host fascinating low dimensional gapless states at the boundary. As a prominent example, helical topological edge states (TESs) of two-dimensional topological insulators (2DTIs) and their stacked three-dimensional (3D)…

Due to fundamental interest and potential applications in quantum computation, tremendous efforts have been invested to study topological superconductivity. However, bulk topological superconductivity seems to be difficult to realize and…

The interplay of nontrivial topology and superconductivity in condensed matter physics gives rise to exotic phenomena. However, materials are extremely rare where it is possible to explore the full details of the superconducting pairing.…

Motivated by intertwined crystal symmetries and topological phases, we study the possible realization of topological insulator in nonsymmorphic crystals at integer fillings. In particular, we consider spin orbit coupled electronic systems…

Strongly Correlated Electrons · Physics 2019-05-01 Hyeok-Jun Yang , SungBin Lee

Topological phases arise from the elegant mathematical structures imposed by the interplay between symmetry and topology1-5. From gapped topological insulators to gapless semimetals, topological materials in both quantum and classical…

The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

Itinerant electrons in a two-dimensional Kagome lattice form a Dirac semi-metal, similar to graphene. When lattice and spin symmetries are broken by various periodic perturbations this semi-metal is shown to spawn interesting non-magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 H. -M. Guo , M. Franz

Having been extensively studied during last decades in the fields of thermoelectics and ionic conductors, the $\alpha $ phase of Cu$_{2}$Se with antfluoride crystal structure has recently emerged as a topological zero-gap semimetal with a…

Materials Science · Physics 2026-05-05 Thomas Steele , Becker Sharif , David Lederman , Xiangang Wan , Sergey Y. Savrasov

Gapless Dirac surface states are protected at the interface of topological and normal band insulators. In a binary superlattice bearing such interfaces, we establish that valley-dependent dimerization of symmetry-unrelated Dirac surface…

Materials Science · Physics 2014-10-31 Xiao Li , Fan Zhang , Qian Niu , Ji Feng

The tunability of topological surface states and controllable opening of the Dirac gap are of great importance to the application of topological materials. In topological crystalline insulators (TCIs), crystal symmetry and topology of…

Materials Science · Physics 2018-10-17 Feng Wei , Chieh-Wen Liu , Da Li , Chun-Yang Wang , Hong-Rui Zhang , Ji-rong Sun , Xuan P. A. Gao , Song Ma , Zhidong Zhang

Here, we report by first-principles calculations one new stable 2D Dirac material, Ta2Se3 monolayer. For this system, stable layered bulk phase exists, and exfoliation should be possible. Ta2Se3 monolayer is demonstrated to support two…

Materials Science · Physics 2017-03-21 Yandong Ma , Yu Jing , Thomas Heine

We report the observation of a non-trivial spin texture in Dirac node arcs, novel topological objects formed when Dirac cones of massless particles extend along an open one-dimensional line in momentum space. We find that such states are…

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

A topological nodal-line semimetal is a new condensed matter state with one-dimensional bulk nodal lines and two-dimensional drumhead surface bands. Based on first-principles calculations and our effective k . p model, we propose the…

Owing to the natural compatibility with current semiconductor industry, silicon allotropes with diverse structural and electronic properties provide promising platforms for the next-generation Si-based devices. After screening 230…

Materials Science · Physics 2018-10-30 Zhifeng Liu , Hongli Xin , Li Fu , Yingqiao Liu , Tielei Song , Xin Cui , Guojun Zhao , Jijun Zhao

Graphene, a two dimensional (2D) carbon sheet, acquires many of its amazing properties from the Dirac point nature of its electronic structures with negligible spin-orbit coupling. Extending to 3D space, graphene networks with negative…

Mesoscale and Nanoscale Physics · Physics 2015-07-09 Hongming Weng , Yunye Liang , Qiunan Xu , Rui Yu , Zhong Fang , Xi Dai , Yoshiyuki Kawazoe

Featuring exotic quantum transport and surface states, topological semimetals can be classified into nodal-point, nodal-line, and nodal-surface semimetals according to the degeneracy and dimensionality of their nodes. However, a topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-18 Bing-Bing Luo , Ming-Jian Gao , Jun-Hong An

Topological phases can not only be protected by internal symmetries (e.g., time-reversal symmetry), but also by crystalline symmetries, such as reflection or rotation symmetry. Recently a complete topological classification of reflection…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 Ching-Kai Chiu , Andreas P. Schnyder

We introduce the notion of a band-inverted, topological semimetal in two-dimensional nonsymmorphic crystals. This notion is materialized in the monolayers of MTe$_2$ (M $=$ W, Mo) if spin-orbit coupling is neglected. We characterize the…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Lukas Muechler , Aris Alexandradinata , Titus Neupert , Roberto Car

Recently, unconventional superconductivity having a zero-bias conductance peak is reported in doped topological Dirac semimetal (DSM) with lattice distortion. Motivated by the experiments, we theoretically study the possible…

Superconductivity · Physics 2023-11-16 Sangmo Cheon , Ki Hoon Lee , Suk Bum Chung , Bohm-Jung Yang