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Topological Weyl semimetals have been attracting broad interest. Recently, a new type of Weyl point with topological charge of $4$, termed as charge-4 Weyl point (C-4 WP), was proposed in spinless systems. Here, we show the minimum symmetry…

Materials Science · Physics 2021-08-18 Chaoxi Cui , Xiao-Ping Li , Da-Shuai Ma , Zhi-Ming Yu , Yugui Yao

Topological semimetal states having the minimal number, i.e., only a single pair, of Weyl points are desirable for the study of effects associated with chiral topological charges. So far, the search for such states is focused on magnetic…

Materials Science · Physics 2022-11-30 Xiaotian Wang , Feng Zhou , Zeying Zhang , Weikang Wu , Zhi-Ming Yu , Shengyuan A. Yang

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

Recently, Weyl semimetals have been experimentally discovered in both inversion-symmetry-breaking and time-reversal-symmetry-breaking crystals. The non-trivial topology in Weyl semimetals can manifest itself with exotic phenomena which have…

We develop a topological theory for disordered Weyl semimetals in the framework of gauge invariance of replica formalism and boundary-bulk correspondence of Chern insulators. An anisotropic topological $\theta$-term is analytically derived…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Y. X. Zhao , Z. D. Wang

A material's electronic topology, which is generally described via its Bloch states and the associated bandstructure, will be enriched by the presence of interactions. In metallic settings, the interactions are usually treated through the…

Strongly Correlated Electrons · Physics 2026-04-20 D. M. Kirschbaum , L. Chen , D. A. Zocco , H. Hu , F. Mazza , J. Larrea Jiménez , A. M. Strydom , D. Adroja , X. Yan , A. Prokofiev , Q. Si , S. Paschen

The identification of topological Weyl semimetals has recently gained considerable attention. Here, we report the results of density-functional theory calculations regarding the magnetic properties, the electronic structure, and the…

Materials Science · Physics 2025-05-19 Gang Bahadur Acharya , Manuel Richter , Klaus Koepernik , Madhav Prasad Ghimire

Magneto-optical studies of Weyl semimetals have been proposed as a versatile tool for observing low-energy Weyl fermions in candidate materials including the chiral Landau level. However, previous theoretical results have been restricted to…

Mesoscale and Nanoscale Physics · Physics 2020-12-18 Marcus Stålhammar , Jorge Larana-Aragon , Johannes Knolle , Emil J. Bergholtz

The recent explosion of research interest in Weyl semimetals has led to many proposed Weyl semimetal candidates and a few experimental observations of a Weyl semimetal in real materials. Through this experience, we have come to appreciate…

We study Weyl-loop semi-metals with short range interactions, focusing on the possible interaction driven instabilities. We introduce an $\epsilon$ expansion regularization scheme by means of which the possible instabilities may be…

Strongly Correlated Electrons · Physics 2018-03-30 Shouvik Sur , Rahul Nandkishore

We investigate the higher-order bulk-boundary correspondence in a family of chiral-symmetric Bloch Hamiltonians with anticommuting mirror symmetries. These models generalize the $\pi$-flux square lattice, the prototypical topological…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Suman Aich , Babak Seradjeh

We report magnetotransport evidence of a hybridized Weyl semimetal (WSM) Fermi arc/topological insulator (TI) surface state at the interface of a ferromagnetic Mn$_{3+x}$Sn$_{1-x}$/Bi$_{0.85}$Sb$_{0.15}$ heterostructure. High target…

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

Strongly Correlated Electrons · Physics 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

Following the intense studies on topological insulators, significant efforts have recently been devoted to the search for gapless topological systems. These materials not only broaden the topological classification of matter but also…

The trigonal Weyl semimetal PtBi$_2$ presents an intriguing superconducting phase, previously reported to be confined to its topological Fermi arcs within a certain temperature range. This observation highlights the importance of a thorough…

Superconductivity · Physics 2025-11-07 Santiago Palumbo , Pablo S. Cornaglia , Jorge I. Facio

Topological materials have attracted considerable experimental and theoretical attention. They exhibit strong spin-orbit coupling both in the band structure (intrinsic) and in the impurity potentials (extrinsic), although the latter is…

Mesoscale and Nanoscale Physics · Physics 2017-08-17 Weizhe Edward Liu , Ewelina M. Hankiewicz , Dimitrie Culcer

We propose a new topological quantum state of matter---the two-dimensional (2D) Weyl half semimetal (WHS), which features 2D Weyl points at Fermi level belonging to a single spin channel, such that the low-energy electrons are described by…

Materials Science · Physics 2019-08-28 Jing-Yang You , Cong Chen , Zhen Zhang , Xian-Lei Sheng , Shengyuan A. Yang , Gang Su

Quasi-particle excitations in solids described by the Weyl equation have attracted significant attention in recent years. Thus far, a wide range of solids that have been experimentally realized as Weyl semimetals (WSMs) lack either mirror…

Materials Science · Physics 2024-12-20 M. -Y. Yao , J. Noky , Q. -G. Mu , K. Manna , N. Kumar , V. N. Strocov , C. Shekhar , S. Medvedev , Y. Sun , C. Felser

Topological semimetals (TSMs) including Weyl semimetals and nodal-line semimetals are expected to open the next frontier of condensed matter and materials science. Although the first inversion breaking Weyl semimetal was recently discovered…

Even if Weyl semimetals are characterized by quasiparticles with well-defined chirality, exploiting this experimentally is severely hampered by Weyl lattice-fermions coming in pairs with opposite chirality, typically causing the net…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Rajyavardhan Ray , Banasree Sadhukhan , Manuel Richter , Jorge I. Facio , Jeroen van den Brink