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Related papers: Classification of Interacting Dirac Semimetals

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We derive a scheme for systematically enumerating the responses of gapped as well as gapless systems of free fermions to electromagnetic and strain fields starting from a common parent theory. Using the fact that position operators in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-29 Daniel Bulmash , Pavan Hosur , Shou-Cheng Zhang , Xiao-Liang Qi

Novel fermionic quasiparticles with integer pseudospins in some energy bands, such as pseudospin-1 triple-point fermions, recently attract increasing interest since they are beyond the conventional spin-$1/2$ Dirac and Weyl counterparts. In…

Quantum Gases · Physics 2018-11-27 Xue-Ying Mai , Yan-Qing Zhu , Zhi Li , Dan-Wei Zhang , Shi-Liang Zhu

The interplay between symmetry and topology led to the concept of symmetry-protected topological states, including all non-interacting and weakly interacting topological quantum states. Among them, recently proposed nodal line semimetal…

Materials Science · Physics 2025-03-05 Yongpan Li , Shifeng Qian , Cheng-Cheng Liu

Discovering Dirac fermions with novel properties has become an important front in condensed matter and materials sciences. Here, we report the observation of unusual Dirac fermion states in a strongly-correlated electron setting, which are…

Observation of topological phases beyond two-dimension (2D) has been an open challenge for ultracold atoms. Here, we realize for the first time a 3D spin-orbit coupled nodal-line semimetal in an optical lattice and observe the bulk line…

Quantum Gases · Physics 2019-08-01 Bo Song , Chengdong He , Sen Niu , Long Zhang , Zejian Ren , Xiong-Jun Liu , Gyu-Boong Jo

Topological semimetals with massless Dirac and Weyl fermions represent the forefront of quantum materials research. In two dimensions (2D), a peculiar class of fermions that are massless in one direction and massive in the perpendicular…

Using first-principles calculations we predict that $\mathrm{TiRhAs}$, a previously synthesized compound, is a Dirac nodal line (DNL) semimetal. The DNL in this compound is found to be protected both by the combination of inversion and…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Sophie F. Weber , Ru Chen , Qimin Yan , Jeffrey B. Neaton

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 electronic and topological properties of single-layer X3YZ6 (X=Nb,Ta, Y=Si,Ge,Sn, Z=S,Se,Te) materials have been studied with the aid of first principles calculations. This kind of materials belong to topological semimetals (TMs) with…

Materials Science · Physics 2023-03-01 Xing Wang , Wenhui Wan , Yanfeng Ge , Yong Liu

Rare-earth magnets with parent cubic symmetry exhibit unique topological properties. However, the origin of these behaviors remains presently unclear. Here, we develop minimal models for Dirac semimetals (DSMs) with accidental band…

Strongly Correlated Electrons · Physics 2025-03-18 Shouvik Sur , Chandan Setty

Three-dimensional (3D) topological Dirac semimetals (TDSs) are rare but important as a versatile platform for exploring exotic electronic properties and topological phase transitions. A quintessential feature of TDSs is 3D Dirac fermions…

Dirac semimetals (DSMs) are an important class of topological states of matter. Here, focusing on DSMs of band inversion type, we investigate their boundary modes from the effective model perspective. We show that in order to properly…

Materials Science · Physics 2023-01-18 Xu-Tao Zeng , Ziyu Chen , Cong Chen , Bin-Bin Liu , Xian-Lei Sheng , Shengyuan A. Yang

Nodal line semimetals are characterized by symmetry-protected band crossing lines and are expected to exhibit nontrivial electronic properties. Connections of the multiple nodal lines, resulting in nodal nets, chains, or links, are…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Ding-Fu Shao , Shu-Hui Zhang , Xiaoqian Dang , Evgeny Y. Tsymbal

Three-dimensional topological insulators support gapless Dirac fermion surface states whose rich topological properties result from the interplay of symmetries and dimensionality. Their topological properties have been extensively studied…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Lakshmi Pullasseri , Daniel Shaffer , Luiz H. Santos

The discovery of topological semimetal phase in three-dimensional (3D) systems is a new breakthrough in topological material research. Dirac nodal-line semimetal is one of the three topological semimetal phases discovered so far; it is…

Materials Science · Physics 2016-07-06 Jin Hu , Zhijie Tang , Jinyu Liu , Xue Liu , Yanglin Zhu , David Graf , Yanmeng Shi , Shi Che , Chun Ning Lau , Jiang Wei , Zhiqiang Mao

Topological insulators are a class of solids in which the nontrivial inverted bulk band structure gives rise to metallic surface states that are robust against impurity scattering. In three-dimensional (3D) topological insulators, however,…

Dirac semimetals can be classified into types I, II, and III based on the topological charge of their Dirac points. If a three-dimensional (3D) system can be sliced into a family of kz-dependent normal and topological insulators, type I…

Mesoscale and Nanoscale Physics · Physics 2025-10-13 Hong Wu , Jia-Ji Zhu , Jian Li , Xue-Min Yang , Jiang-Shan Chen , Mu Zhou

We discover a pair of stable 3D Dirac points, 3D photonic analog of graphene, in all-dielectric photonic crystals using structures commensurate with nano-fabrication for visible-frequency photonic applications. The Dirac points carry…

Materials Science · Physics 2018-02-13 HaiXiao Wang , Lin Xu , HuanYang Chen , Jian-Hua Jiang

This paper provides a pedagogical introduction to recent developments in geometrical and topological band theory following the discovery of graphene and topological insulators. Amusingly, many of these developments have a connection to…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 J. Cayssol , J. -N. Fuchs

Dirac line node (DLN) semimetals are a class of topological semimetals that feature band-crossing lines in momentum space. We study the type-I and type-II classification of DLN semimetals by developing a criterion that determines the type…

Materials Science · Physics 2018-10-17 Dongwook Kim , Seongjin Ahn , Jong Hyun Jung , Hongki Min , Jisoon Ihm , Jung Hoon Han , Youngkuk Kim