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Three-dimensional topological semimetals exhibit linear energy band crossing points that act as monopoles of Berry curvature. Here, an alternative class of semimetals is introduced, featuring linear $N$-fold crossing points each of which…

Mesoscale and Nanoscale Physics · Physics 2023-09-12 Ansgar Graf , Frédéric Piéchon

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

In the time-reversal-breaking centrosymmetric systems, the appearance of Weyl points can be guaranteed by an odd number of all the even/odd parity occupied bands at eight inversion-symmetry-invariant momenta. Here, based on symmetry…

Materials Science · Physics 2020-05-06 Yuting Qian , Jiacheng Gao , Zhida Song , Simin Nie , Zhijun Wang , Hongming Weng , Zhong Fang

The nonlinear Hall effect (NLHE) connects crystalline symmetry to quantum geometry, offering a probe of band topology beyond linear transport. While most studies have focused on the Berry curvature dipole in low-symmetry crystals,…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Heda Zhang , Nikolai Peshcherenko , Ning Mao , Nianlong Zou , Jiaqiang Yan , Claudia Felser , Yang Zhang

Band inversions are key to stabilising a variety of novel electronic states in solids, from topological surface states in inverted bulk band gaps of topological insulators to the formation of symmetry-protected three-dimensional Dirac and…

We study the topological properties of 3D Floquet bandstructures, which are defined using unitary evolution matrices rather than Hamiltonians. Previously, 2D bandstructures of this sort have been shown to exhibit anomalous topological…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Hailong Wang , Longwen Zhou , Yidong Chong

We present a semiclassical explanation for the morphology of the surface Fermi arcs of Weyl semimetals. Viewing the surface states as a two-dimensional Fermi gas subject to band bending and Berry curvatures, we show that it is the…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jiajia Huang , Luyang Wang , Dao-Xin Yao

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

Topological Dirac and Weyl semimetals have an energy spectrum that hosts Weyl nodes appearing in pairs of opposite chirality. Topological stability is ensured when the nodes are separated in momentum space and unique spectral and transport…

Mesoscale and Nanoscale Physics · Physics 2016-12-13 Adolfo G. Grushin , Jorn W. F. Venderbos , Ashvin Vishwanath , Roni Ilan

Berry curvature in Weyl semimetals results in very intriguing magneto-electric and magneto-thermal transport properties. In this paper, we explore the impact of the tilting of the Weyl nodes, which breaks the time-reversal symmetry, on the…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 Kamal Das , Amit Agarwal

A monopole harmonic superconductor is a novel topological phase of matter with topologically protected gap nodes that result from the non-trivial Berry phase structure of Cooper pairs. In this work we propose to realize a monopole…

Superconductivity · Physics 2020-01-16 Canon Sun , Shu-Ping Lee , Yi Li

The quasi-particle excitations in Weyl semimetals, known as Weyl fermions, are usually forced to emerge in charge-conjugate pairs by the Nielsen--Ninomiya theorem. When the Brillouin zone is non-orientable, this constraint is replaced by a…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Thijs Douwes , Marcus Stålhammar

Higher-order Weyl semimetals are a family of recently predicted topological phases simultaneously showcasing unconventional properties derived from Weyl points, such as chiral anomaly, and multidimensional topological phenomena originating…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Yuang Pan , Chaoxi Cui , Qiaolu Chen , Fujia Chen , Li Zhang , Yudong Ren , Ning Han , Wenhao Li , Xinrui Li , Zhi-Ming Yu , Hongsheng Chen , Yihao Yang

Weyl semimetals are gapless three-dimensional (3D) phases whose bandstructures contain Weyl point (WP) degeneracies. WPs carry topological charge and can only be eliminated by mutual annihilation, a process that generates the various…

The synergy between real and reciprocal space topology is anticipated to yield a diverse array of topological properties in quantum materials. We address this pursuit by achieving topologically safeguarded magnetic order in novel Weyl…

We show that a class of compounds with $I$4/$mcm$ crystalline symmetry hosts three-dimensional semi-Dirac fermions. Unlike the known two-dimensional semi-Dirac points, the degeneracy of these three-dimensional semi-Dirac points is not…

Strongly Correlated Electrons · Physics 2022-01-07 Narayan Mohanta , Jong Mok Ok , Jie Zhang , Hu Miao , Elbio Dagotto , Ho Nyung Lee , Satoshi Okamoto

We study the impact of spin-orbit coupling on the topological band-properties of copper-substituted lead phosphate apatite using a combination of group-theoretical analysis and full-relativistic density-functional theory calculations. We…

Mesoscale and Nanoscale Physics · Physics 2023-10-17 Martin Braß , Liang Si , Karten Held

Type-II Weyl semimetals are a novel gapless topological phase of matter discovered recently in 2015. Similar to normal (type-I) Weyl semimetals, type-II Weyl semimetals consist of isolated band touching points. However, unlike type-I Weyl…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Raditya Weda Bomantara , Jiangbin Gong

Ultrafast optical control of the structural and electronic properties of various quantum materials has recently sparked great interest. In particular, photoinduced quantum phase transition between distinct topological phases has been…

Materials Science · Physics 2022-06-07 Niraj Aryal , Xilian Jin , Qiang Li , Mengkun Liu , A. M. Tsvelik , Weiguo Yin

By utilizing symmetry analysis and electronic structure calculations, we investigated the low-temperature orthorhombic phase of Ag$_{2}$Se in ${\cal SG}$~17. In addition to the discovery of a nodal plane at $k_{z}=\pi$ protected by the…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Wujun Shi , Gang Li
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