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The Weyl semimetals represent a distinct category of topological materials wherein the low-energy excitations appear as the long-sought Weyl fermions. Exotic transport and optical properties are expected because of the chiral anomaly and…

We perform a complete classification of two-band $\bk\cdot\mathbf{p}$ theories at band crossing points in 3D semimetals with $n$-fold rotation symmetry and broken time-reversal symmetry. Using this classification, we show the existence of…

介观与纳米尺度物理 · 物理学 2012-11-15 Chen Fang , Matthew J. Gilbert , Xi Dai , B. Andrei Bernevig

In this work we explore the effects of nonlinearity on three-dimensional topological phases. Of particular interest are the so-called Weyl semimetals, known for their Weyl nodes, i.e., point-like topological charges which always exist in…

介观与纳米尺度物理 · 物理学 2022-11-17 Thomas Tuloup , Raditya Weda Bomantara , Jiangbin Gong

In floppy mechanical lattices, robust edge states and bulk Weyl modes are manifestations of underlying topological invariants. To explore the universality of these phenomena independent of microscopic detail, we formulate topological…

软凝聚态物质 · 物理学 2025-11-03 Ian Tan , Anton Souslov

Inspired by the newly emergent valleytronics, great interest has been attracted to the topological valley transport in classical metacrystals. The presence of nontrivial domain-wall states is interpreted with a concept of valley Chern…

介观与纳米尺度物理 · 物理学 2022-06-08 Xiying Fan , Tianzhi Xia , Huahui Qiu , Qicheng Zhang , Chunyin Qiu

In time-reversal symmetry-broken Weyl semimetals, Weyl points act as monopoles and antimonopoles of the Berry curvature, with a monopole-antimonopole pair producing a net zero Berry flux. The two-dimensional (2D) planes that separate a…

介观与纳米尺度物理 · 物理学 2024-03-29 Alexander C. Tyner , Shouvik Sur

Topological states of electrons and photons have attracted significant interest recently. Topological mechanical states also being actively explored, have been limited to macroscopic systems of kHz frequency. The discovery of topological…

材料科学 · 物理学 2018-01-10 Tiantian Zhang , Zhida Song , A. Alexandradinata , Hongming Weng , Chen Fang , Ling Lu , Zhong Fang

Weyl fermions are massless chiral quasiparticles existing in materials known as Weyl semimetals. Topological surface states, associated with the unusual electronic structure in the Weyl semimetals, have been recently demonstrated in linear…

光学 · 物理学 2018-04-18 Ce Shang , Yuanlin Zheng , Boris A. Malomed

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…

介观与纳米尺度物理 · 物理学 2013-08-29 Ling Lu , Liang Fu , John D. Joannopoulos , Marin Soljačić

A variety of quantum systems exhibits Weyl points in their spectra where two bands cross in a point of three-dimensional parameters space with conical dispersion in the vicinity of the point. We consider theoretically the soft constraint…

介观与纳米尺度物理 · 物理学 2018-12-21 Janis Erdmanis , Árpád Lukács , Yuli V. Nazarov

We report the existence of topologically charged nodal surface, a band degeneracy on a two-dimensional surface in momentum space that is topologically charged. We develop a Hamiltonian for such charged nodal surface, and show that such a…

光学 · 物理学 2017-09-08 Meng Xiao , Shanhui Fan

We demonstrate that a Weyl point, widely examined in 3D Weyl semimetals and superfluids, can develop a pair of non-degenerate gapless spheres. Such a bouquet of two spheres is characterized by three distinct topological invariants of…

量子气体 · 物理学 2016-04-14 Yong Xu , Fan Zhang , Chuanwei Zhang

We study the collective dynamics of a two-dimensional honeycomb lattice of magnetic skyrmions. By performing large-scale micromagnetic simulations, we find multiple chiral and non-chiral edge modes of skyrmion oscillations in the lattice.…

介观与纳米尺度物理 · 物理学 2018-11-28 Z. -X. Li , C. Wang , Yunshan Cao , Peng Yan

We study the stability of gap-closing (Weyl or Dirac) points in the three-dimensional Brillouin zone of semimetals using Clifford algebras and their representation theory. We show that a pair of Weyl points with $\mathbb{Z}_2$ topological…

介观与纳米尺度物理 · 物理学 2014-06-26 Takahiro Morimoto , Akira Furusaki

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…

介观与纳米尺度物理 · 物理学 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

We compute the chiral magnetic effect (CME) in multi-Weyl semimetals (multi-WSMs) based on the chiral kinetic theory. Multi-WSMs are WSMs with multiple monopole charges that have nonlinear and anisotropic dispersion relations near Weyl…

介观与纳米尺度物理 · 物理学 2017-08-16 Tomoya Hayata , Yuta Kikuchi , Yuya Tanizaki

Three-dimensional Weyl fermions are found to emerge from simple cubic lattices with staggered fluxes. The mechanism is to gap the quadratic band touching by time-reversal-symmetry-breaking hoppings. The system exhibits rich phase diagrams…

量子气体 · 物理学 2012-04-03 Jian-Hua Jiang

We explore the topological properties of double-Weyl semimetals with cold atoms in optical lattices. We first propose to realize a tight-binding model of simulating the double-Weyl semimetal with a pair of double-Weyl points by engineering…

量子气体 · 物理学 2017-06-23 Xue-Ying Mai , Dan-Wei Zhang , Zhi Li , Shi-Liang Zhu

In three-dimensional noncentrosymmetric materials two-fold screw rotation symmetry forces electron's energy bands to have Weyl points at which two bands touch. This is illustrated for space groups No. 19 ($P2_12_12_1$) and No. 198…

材料科学 · 物理学 2017-06-09 Akira Furusaki

Double Weyl nodes are topologically protected band crossing points which carry chiral charge $\pm2$. They are stabilized by $C_4$ point group symmetry and are predicted to occur in $\mathrm{SrSi_2}$ or $\mathrm{HgCr_{2}Se_{4}}$. We study…

介观与纳米尺度物理 · 物理学 2017-03-08 Björn Sbierski , Maximilian Trescher , Emil J. Bergholtz , Piet W. Brouwer