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Weyl and Dirac semimetals are three dimensional phases of matter with gapless electronic excitations that are protected by topology and symmetry. As three dimensional analogs of graphene, they have generated much recent interest. Deep…

Strongly Correlated Electrons · Physics 2018-01-31 N. P. Armitage , E. J. Mele , Ashvin Vishwanath

Weyl semimetals possess low energy excitations which act as monopoles of Berry curvature in momentum space. These emergent monopoles are at the heart of the extensive novel transport properties that Weyl semimetals exhibit. The singular…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Timothy M. McCormick , Robert C. McKay , Nandini Trivedi

In this work we predict a family of noncentrosymmetric two-dimensional (2D) Weyl semimetals composed by porous Ge and SiGe structures. These systems are energetically stable graphenylene-like structures with a buckling, spontaneously…

Materials Science · Physics 2024-02-06 Emmanuel V. C. Lopes , Rogerio J. Baierle , Roberto H. Miwa , Tome M. Schmidt

The hypothetical Weyl particles in high-energy physics have been discovered in three-dimensional crystals as collective quasiparticle excitations near two-fold degenerate Weyl points. Such momentum-space Weyl particles carry quantized…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Qiaolu Chen , Fujia Chen , Qinghui Yan , Li Zhang , Zhen Gao , Shengyuan A. Yang , Zhi-Ming Yu , Hongsheng Chen , Baile Zhang , Yihao Yang

The physical realization of Chern insulators is of fundamental and practical interest, as they are predicted to host the quantum anomalous Hall effect (QAHE) and topologically protected chiral edge states which can carry dissipationless…

A pair of Weyl points (WPs) with opposite Chern numbers ${\cal{C}}$ can exhibit an additional higher-order $Z_2$ topological charge, giving rise to the formation of a $Z_2$ Weyl dipole. Owing to the nontrivial topological charge, $Z_2$ Weyl…

Materials Science · Physics 2025-02-25 Jianhua Wang , Yang Wang , Feng Zhou , Wenhong Wang , Zhenxiang Cheng , Shifeng Qian , Xiaotian Wang , Zhi-Ming Yu

Recent discovery of both gapped and gapless topological phases in weakly correlated electron systems has introduced various relativistic particles and a number of exotic phenomena in condensed matter physics. The Weyl fermion is a prominent…

We theoretically study the quantum anomalies in the superconducting Weyl metals based on the topological field theory. It is demonstrated that the Fermi arc and the surface Andreev bound state, characteristic of the superconducting Weyl…

Superconductivity · Physics 2016-06-01 Rui Wang , Lei Hao , Baigeng Wang , C. S. Ting

Due to studies in nonequilibrium (periodically-driven) topological matter, it is now understood that some topological invariants used to classify equilibrium states of matter do not suffice to describe their nonequilibrium counterparts.…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Muhammad Umer , Raditya Weda Bomantara , Jiangbin Gong

We propose characterization of the three-dimensional topological insulator by using the Chern number for the entanglement Hamiltonian (entanglement Chern number). Here we take the extensive spin partition of the system, that pulls out the…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Hiromu Araki , Takahiro Fukui , Yasuhiro Hatsugai

In this work, we investigate the emergence of Weyl points in an inversion symmetry-breaking 1T-NiTe$_2$ system. Through first-principles calculations based on the density functional theory combined with tight-binding methods, we find three…

Materials Science · Physics 2026-03-19 Marcos G. O. Junior , Augusto L. Araújo , Emmanuel V. C. Lopes , Tome M. Schmidt

Non-Hermitian topological phase, with the novel concepts such as exceptional points and skin effect, has opened up a new paradigm beyond Hermitian topological physics. Exceptional ring semimetal, featured by a stable ring of exceptional…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 Yejian Hu , Zhenhang Pu , Xiangru Chen , Yuxiang Xi , Jiuyang Lu , Weiyin Deng , Manzhu Ke , Zhengyou Liu

Weyl semimetals are extraordinary systems where exotic phenomena such as Fermi arcs, pseudo-gauge fields and quantum anomalies arise from topological band degeneracy in crystalline solids for electrons and metamaterials for photons and…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Li Luo , Hai-Xiao Wang , Bin Jiang , Ying Wu , Zhi-Kang Lin , Feng Li , Jian-Hua Jiang

Weyl fermion, also referred to as pseudo-magnetic monopole in momentum space, is an undiscovered massless elementary particle with half-integer spin predicted according to relativistic quantum field theory. Motivated by the recent…

Quantum Gases · Physics 2022-06-29 Cheng-Gong Liang , Ze-Gang Liu , Wei Han

Weyl semimetals are phases of matter with gapless electronic excitations that are protected by topology and symmetry. Their properties depend on the dimensions of the systems. It has been theoretically demonstrated that five-dimensional…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Xingen Zheng , Tian Chen , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

The Weyl semimetals [1-6] are three-dimensional (3D) gapless topological phases with Weyl cones in the bulk band, and host massless quasiparticles known as Weyl fermions which were theorized by Hermann Weyl in the last twenties [7]. The…

We study the symmetry requirements for topologically protected spin-polarized Weyl points in 2D altermagnets. The topology is characterized by a quantized $\pi$-Berry phase and the degeneracy is protected by spin-space group symmetries.…

Mesoscale and Nanoscale Physics · Physics 2025-06-05 Kirill Parshukov , Raymond Wiedmann , Andreas P. Schnyder

Three dimensional Weyl semimetals exhibit open Fermi arcs on their sample surfaces connecting the projection of bulk Weyl points of opposite chirality. The canonical interpretation of these surfaces states is in terms of chiral edge modes…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Valerio Peri , Sebastian D. Huber

We show that Weyl superconductivity can be induced by finite supercurrent in noncentrosymmetric spin-orbit-coupled superconductors with line nodes. We introduce a three-dimensional tight-binding model of a tetragonal superconductor in a…

Superconductivity · Physics 2022-06-08 Shuntaro Sumita , Kazuaki Takasan

Weyl points and line nodes are three-dimensional linear point- and line-degeneracies between two bands. In contrast to Dirac points, which are their two-dimensional analogues, Weyl points are stable in the momentum space and the associated…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Ling Lu , Liang Fu , John D. Joannopoulos , Marin Soljačić