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The recent discovery of Weyl fermions in solids enables exploitation of relativistic physics and development of a spectrum of intriguing physical phenomena. They are constituted of pairs of Weyl points with two-fold band degeneracy, which…

Three-dimensional topological gapless matters with gapless degeneracies protected by a topological invariant defined over a closed manifold in momentum space have attracted considerable interest in various fields ranging from condensed…

Quantum Gases · Physics 2019-05-07 Yong Xu

Weyl semimetals have been theoretically predicted to become topological metals with anomalous Hall conductivity in amorphous systems. However, measuring the anomalous Hall conductivity in realistic materials, particularly those with…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Jiong-Hao Wang , Yong Xu

Topological states of matter, first discovered in quantum systems, have opened new avenues for wave manipulation beyond the quantum realm. In elastic media, realizing these topological effects requires identifying lattices that support the…

Materials Science · Physics 2025-03-24 Pegah Azizi , Rahul Dev Kundu , Weichen Li , Kai Sun , Xiaojia Shelly Zhang , Stefano Gonella

The hallmark of topological phases is their robust boundary signature whose intriguing properties---such as the one-way transport on the chiral edge of a Chern insulator and the sudden disappearance of surface states forming open Fermi arcs…

Mesoscale and Nanoscale Physics · Physics 2017-09-08 Flore K. Kunst , Maximilian Trescher , Emil J. Bergholtz

A Weyl semimetal is a new type of topological quantum phase with intriguing physics near the Weyl nodes. Although the equilibrium state of Weyl semimetals has been investigated, the ultrafast dynamics near the Weyl node in the…

Materials Science · Physics 2017-10-03 Guoliang Wan , Wei Yao , Kenan Zhang , Changhua Bao , Hongyun Zhang , Haijun Zhang , Yang Wu , Shuyun Zhou

The concepts of Weyl fermions and topological semimetals emerging in three-dimensional momentum space are extensively explored owing to the vast variety of exotic properties that they give rise to. On the other hand, very little is known…

For the solid state physics, recent interest to topological systems is mostly connected with topological semimetals, in particular, to Weyl ones as the most representative semimetal type. Like other topological materials, e.g. topological…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 E. V. Deviatov

As the development of topological band theory, comprehensive databases about time reversal and crystalline symmetries protected nonmagnetic topological materials were developed via first-principles calculations recently. However, owing to…

Materials Science · Physics 2020-04-06 Qiunan Xu , Yang Zhang , Klaus Koepernik , Wujun Shi , Jeroen van den Brink , Claudia Felser , Yan Sun

A family of topological semimetallic phases where twofold degenerate gapless points form linked rings is introduced. We refer to this phase as Weyl-link semimetals. A concrete two-band model with two linked nodal lines is constructed. We…

Mesoscale and Nanoscale Physics · Physics 2017-08-30 Po-Yao Chang , Chuck-Hou Yee

We study a class of three dimensional exactly solvable models of topological matter first put forward by Walker and Wang [arXiv:1104.2632v2]. While these are not models of interacting fermions, they may well capture the topological behavior…

Strongly Correlated Electrons · Physics 2015-03-20 C. W. von Keyserlingk , F. J. Burnell , Steven H. Simon

Semi-metals are characterized by nodal band structures that give rise to exotic electronic properties. The stability of Dirac semi-metals, such as graphene in two spatial dimensions (2D), requires the presence of lattice symmetries, while…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Robert-Jan Slager , Vladimir Juricic , Ville Lahtinen , Jan Zaanen

Topological Dirac and Weyl semimetals not only host quasiparticles analogous to the elementary fermionic particles in high-energy physics, but also have nontrivial band topology manifested by exotic Fermi arcs on the surface. Recent…

Weyl semimetals (WSMs) constitute a 3D phase with linearly-dispersing Weyl excitations at low energy, which lead to unusual electrodynamic responses and open Fermi arcs on boundaries. We derive a simple criterion to identify and…

Strongly Correlated Electrons · Physics 2014-10-28 William Witczak-Krempa , Michael Knap , Dmitry Abanin

The coexistence of topological states with different dimensionalities in a single crystalline system offers a unique platform to study the interplay of distinct fermionic excitations. Here, integrating first-principles calculations with…

Materials Science · Physics 2026-04-16 Xiao-Jing Gao , Yanfeng Ge , Yan Gao

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

Weyl degeneracies in spectra of magnetoplasma waves enable nonreciprocal energy flow and topologically protected modes, yet conventional materials require impractical magnetic fields to operate. Developing an effective Hamiltonian framework…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Yuanzhao Wang , Oleg V. Kotov , Dmitry K. Efimkin

Weyl semimetals are expected to open up new horizons in physics and materials science because they provide the first realization of Weyl fermions and exhibit protected Fermi arc surface states. However, they had been found to be extremely…

Theory of elasticity in topological insulators has many common features with relativistic quantum fields interacting with gravitational field in the tetrad form. Here we discuss several issues in the effective topological…

Strongly Correlated Electrons · Physics 2021-01-01 J. Nissinen , G. E. Volovik

The exploration of topological phases in carbon allotropes offers a fascinating avenue to realize topological devices based on carbon materials. Here, using first-principles calculations, we propose a novel metastable carbon allotrope,…

Materials Science · Physics 2021-08-17 Chao Zhang , Xian-Yong Ding , Li-Yong Gan , Yu Cao , Bing-Sheng Li , Xiaozhi Wu , Rui Wang