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Topological Dirac semimetals are a class of semimetals that host symmetry-protected Dirac points near the Fermi level, which arise due to a band inversion of the conduction and valence bands. In this work, we study the less explored class…

Materials Science · Physics 2021-06-02 Heng Gao , Jeremy Strockoz , Mario Frakulla , Jörn W. F. Venderbos , Hongming Weng

Weyl semimetal is a new quantum state of matter [1-12] hosting the condensed matter physics counterpart of relativisticWeyl fermion [13] originally introduced in high energy physics. The Weyl semimetal realized in the TaAs class features…

We provide a manifestly topological classification scheme for generalised Weyl semimetals, in any spatial dimension and with arbitrary Weyl surfaces which may be non-trivially linked. The classification naturally incorporates that of Chern…

Mesoscale and Nanoscale Physics · Physics 2018-06-22 Varghese Mathai , Guo Chuan Thiang

Fermi arcs represent the surface states at the boundary of a three-dimensional topological semimetal with the vacuum, illustrating the notion of bulk-boundary correspondence playing out in real materials. Their special character is tied up…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Ipsita Mandal

Triple-fold or pseudospin-1 semimetals belong to a class of multi-fold materials in which linearly dispersive bands and flat bands intersect at the same point, forming triple-fold crossing points. We conduct an analytical investigation of…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 A. Yu. Prykhodko , E. V. Gorbar , P. O. Sukhachov

One of the hallmarks of Weyl semi-metals is the existence of unusual topological surface states known as 'Fermi arcs' [1-3]. The formation of these states is guaranteed by the existence of bulk Weyl points with opposite chirality. Tantalum…

Mesoscale and Nanoscale Physics · Physics 2016-08-23 Rajib Batabyal , Noam Morali , Nurit Avraham , Yan Sun , Marcus Schmidt , Claudia Felser , Ady Stern , Binghai Yan , Haim Beidenkopf

Three-dimensional higher-order topological semimetals in crystalline systems exhibit higher-order Fermi arcs on one-dimensional hinges, challenging the conventional bulk-boundary correspondence. However, the existence of higher-order Fermi…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Bin Zhou , Dong-Hui Xu

Topological semimetals in crystals with a chiral structure (which possess a handedness due to a lack of mirror and inversion symmetries) are expected to display numerous exotic physical phenomena, including fermionic excitations with large…

We define and study a three dimensional lattice model which displays a Weyl semi-metallic phase. This model consists of coupled layers of quantum (anomalous) Hall insulators. The Weyl semi-metallic phase appears between a resulting quantum…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Pierre Delplace , Jian Li , David Carpentier

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

We investigate the quasiparticles of a single nodal ring semimetal SrAs$_3$ through axis-resolved magneto-optical measurements. We observe three types of Landau levels scaling as $\varepsilon \sim \sqrt{B}$, $\varepsilon \sim B^{2/3}$, and…

Materials Science · Physics 2025-08-21 Jiwon Jeon , Taehyeok Kim , Jiho Jang , Hoil Kim , Mykhaylo Ozerov , Jun Sung Kim , Hongki Min , Eunjip Choi

Weyl semimetals have been classified into type-I and type-II with respect to the geometry of their Fermi surfaces at the Weyl points. Here, we propose a new class of Weyl semimetal, whose unique Fermi surface contains two electron or two…

Mesoscale and Nanoscale Physics · Physics 2021-04-29 Xiao-Ping Li , Ke Deng , Botao Fu , YongKai Li , DaShuai Ma , JunFeng Han , Jianhui Zhou , Shuyun Zhou , Yugui Yao

We propose a 3D topolectrical (TE) network that can be tuned to realize various higher-order topological gapless and chiral phases. We first study a higher-order Dirac semimetal phase that exhibits a hinge-like Fermi arc linking the Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Mansoor B. A. Jalil

Three-dimensional Dirac and Weyl semimetals have attracted widespread interest in condensed matter physics and material science. Here, based on first-principles calculations and symmetry analysis, we report that Ag$_2$S with…

Materials Science · Physics 2019-11-20 Zhenwei Wang , Kaifa Luo , Jianzhou Zhao , Rui Yu

Topological nodal-line semimetals with exotic quantum properties are characterized by symmetry-protected line-contact bulk band crossings in the momentum space. However, in most of identified topological nodal-line compounds, these…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Y. K. Song , G. W. Wang , S. C. Li , W. L. Liu , X. L. Lu , Z. T. Liu , Z. J. Li , J. S. Wen , Z. P. Yin , Z. H. Liu , D. W. Shen

Materials combining topologically non-trivial behavior and superconductivity offer a potential route for quantum computation. However, the set of available materials intrinsically realizing these properties are scarce. Recently, surface…

The ideas of topology have found tremendous success in Hermitian physical systems, but even richer properties exist in the more general non-Hermitian framework. Here, we theoretically propose and experimentally demonstrate a new…

Nodal loop semimetals are close descendants of Weyl semimetals and possess a topologically dressed band structure. We argue by combining the conventional theory of magnetic oscillation with topological arguments that nodal loop semimetals…

Strongly Correlated Electrons · Physics 2018-05-16 László Oroszlány , Balázs Dóra , József Cserti , Alberto Cortijo

In the search for stable topological semimetals with clean band profiles, we have screened all the 3$d$ metal-intercalated transition-metal dichalcogenides (3dI-TMDCs) by performing hybrid-functional-based ab initio calculations. Two…

Strongly Correlated Electrons · Physics 2019-10-08 Takeshi Inoshita , Motoaki Hirayama , Noriaki Hamada , Hideo Hosono , Shuichi Murakami

Type-II semi-Dirac fermions in two dimensions have been proposed to describe topologically nontrivial low-energy excitations in titanium/vanadium oxide heterostructures. These quasiparticles appear at the merger of three Dirac cones,…

Strongly Correlated Electrons · Physics 2026-05-19 Mohamed M. Elsayed , Taras I. Lakoba , Valeri N. Kotov
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