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Soft materials can self-assemble into highly structured phases which replicate at the mesoscopic scale the symmetry of atomic crystals. As such, they offer an unparalleled platform to design mesostructured materials for light and sound.…

Soft Condensed Matter · Physics 2018-05-01 Michel Fruchart , Seung-Yeol Jeon , Kahyun Hur , Vadim Cheianov , Ulrich Wiesner , Vincenzo Vitelli

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

We show the occurence of Dirac, Triple point, Weyl semimetal and topological insulating phase in a single ternary compound using specific symmetry preserving perturbations. Based on {\it first principle} calculations, \textbf{\textit{k.p}}…

Materials Science · Physics 2019-05-15 Chiranjit Mondal , C. K. Barman , Aftab Alam , Biswarup Pathak

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

Weyl points are the simplest topologically-protected degeneracy in a three-dimensional dispersion relation. The realization of Weyl semimetals in photonic crystals has allowed these singularities and their consequences to be explored with…

Mesoscale and Nanoscale Physics · Physics 2020-11-23 R. L. Mc Guinness , P. R. Eastham

We discover three-dimensional intertwined Weyl phases, by developing a theory to create topological phases. The theory is based on intertwining existing topological gapped and gapless phases protected by the same crystalline symmetry. The…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 W. B. Rui , Zhen Zheng , Moritz M. Hirschmann , Song-Bo Zhang , Chenjie Wang , Z. D. Wang

A band gap for electronic states in crystals governs various properties of solids, such as transport, optical and magnetic properties. Its estimation and control have been an important issue in solid state physics. The band gap can be…

Mesoscale and Nanoscale Physics · Physics 2017-05-16 Shuichi Murakami , Motoaki Hirayama , Ryo Okugawa , Takashi Miyake

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

Although Lorentz invariance forbids the presence of a term that tilts the energy-momentum relation in the Weyl Hamiltonian, a tilted dispersion is not forbidden and, in fact, generic for condensed matter realizations of Weyl semimetals. We…

Mesoscale and Nanoscale Physics · Physics 2017-02-13 Maximilian Trescher , Björn Sbierski , Piet W. Brouwer , Emil J. Bergholtz

Reciprocity is a fundamental principle governing various physical systems, which ensures that the transfer function between any two points in space is identical, regardless of geometrical or material asymmetries. Breaking this transmission…

Classical Physics · Physics 2017-04-12 Corentin Coulais , Dimitrios Sounas , Andrea Alù

Symmetry plays a central role in conventional and topological phases of matter, making the ability to optically drive symmetry change a critical step in developing future technologies that rely on such control. Topological materials, like…

We demonstrate a few unique dynamical properties of point-gap Weyl semimetal, an intrinsic non-Hermitian topological phase in three dimensions. We consider a concrete model where a pair of Weyl points reside on the imaginary axis of the…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Haiping Hu , Erhai Zhao , W. Vincent Liu

Weyl points emerge as topological monopoles of Berry flux in the three-dimensional (3D) momentum space and have been extensively studied in topological semimetals. As the underlying topological principles apply to any type of waves under…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Hao Ge , Xu Ni , Yuan Tian , Samit Kumar Gupta , Ming-Hui Lu , Xin Lin , Wei-Dong Huang , C. T. Chan , Yan-Feng Chen

We compare two crystallographic phases of the low-dimensional WP$_2$ to better understand features of electron-electron and electron-phonon interactions in topological systems. The topological $\beta$-phase, a Weyl semimetal with a giant…

Strongly Correlated Electrons · Physics 2020-08-19 Dirk Wulferding , Peter Lemmens , Florian Büscher , David Schmeltzer , Claudia Felser , Chandra Shekhar

We study the stability of three-dimensional incompressible Weyl semimetals in the presence of random quenched charge impurities. Combining numerical analysis and scaling theory we show that in the presence of sufficiently weak randomness…

Disordered Systems and Neural Networks · Physics 2016-06-01 Soumya Bera , Jay D. Sau , Bitan Roy

Weyl semimetals and higher-order topological insulators represent two fundamental yet distinct classes of topological matter. While both have been extensively studied in classical-wave systems, their coexistence and controllable transition…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Yu-Hong Han , Yi Li , Feng Mei , Liantuan Xiao , Suotang Jia

The discovery of Weyl semimetals represents a significant advance in topological band theory. They paradigmatically enlarged the classification of topological materials to gapless systems while simultaneously providing experimental evidence…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 P. Rüßmann , A. P. Weber , F. Glott , N. Xu , M. Fanciulli , S. Muff , A. Magrez , P. Bugnon , H. Berger , M. Bode , J. H. Dil , S. Blügel , P. Mavropoulos , P. Sessi

We propose a different route to time-reversal invariant Weyl semimetals employing multilayer heterostructures comprising ordinary "trivial" insulators and nontrivial insulators with \textit{pairs} of protected Dirac cones on the surface. We…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Alexander Lau , Carmine Ortix

There is considerable current interest to explore electronic topology in strongly correlated metals, with heavy fermion systems providing a promising setting. Recently, a Weyl-Kondo semimetal phase has been concurrently discovered in…

Strongly Correlated Electrons · Physics 2020-04-01 Sarah E. Grefe , Hsin-Hua Lai , Silke Paschen , Qimiao Si

There is a close connection between various new phenomena in Weyl semimetals and the existence of linear band crossings in the single particle description. We show, by a full self-consistent mean-field calculation, how this picture is…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Fei Xue , Xiao-Xiao Zhang