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Three-dimensional Weyl semimetals have pairs of topologically protected Weyl nodes, whose projections onto the surface Brillouin zone are the end points of zero energy surface states called Fermi arcs. At the endpoints of the Fermi arcs,…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Faruk Abdulla , Sumathi Rao , Ganpathy Murthy

In topological Weyl semimetals, the low energy excitations are comprised of linearly dispersing Weyl fermions, which act as monopoles of Berry curvature in momentum space and result in topologically protected Fermi arcs on the surfaces. We…

Mesoscale and Nanoscale Physics · Physics 2018-06-06 Timothy M. McCormick , Sarah J. Watzman , Joseph P. Heremans , Nandini Trivedi

The generic nature of band touching points in three-dimensional band structures is at heart of the rich phenomenology, topological stability and novel Fermi arc surface states associated with Weyl semimetals. Here we report on the…

Mesoscale and Nanoscale Physics · Physics 2018-11-13 Johan Carlström , Emil J. Bergholtz

Weyl semimetals display a novel topological phase of matter where the Weyl nodes emerge in pairs of opposite chirality and can be seen as either a source or a sink of Berry curvature. The exotic effects in Weyl semimetals, such as surface…

Materials Science · Physics 2018-10-02 Davide Iaia , Guoqing Chang , Tay-Rong Chang , Jin Hu , Zhiqiang Mao , Hsin Lin , Shichao Yan , Vidya Madhavan

Since the discovery of topological insulators a lot of research effort has been devoted to magnetic topological materials, in which non-trivial spin properties can be controlled by magnetic fields, culminating in a wealth of fundamental…

In Weyl materials the valence and conduction electron bands touch at an even number of isolated points in the Brillouin zone. In the vicinity of these points the electron dispersion is linear and may be described by the massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Songci Li , A. V. Andreev

We study the effect of a non-Abelian SU(2) gauge potential on the topological semimetal induced by a magnetic field having {\pi}-flux per plaquette and acting on fermions in a cubic lattice. The Abelian {\pi}-flux term gives rise to a…

Quantum Gases · Physics 2017-06-30 Luca Lepori , Ion Cosma Fulga , Andrea Trombettoni , Michele Burrello

This paper is devoted to topological phenomena in normal metals with rather complicated Fermi surface. The results of the article are based on the deep topological theorems concerning the geometry of non-compact plane sections of level…

Condensed Matter · Physics 2009-10-30 S. P. Novikov , A. Ya. Maltsev

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

Based on $k\cdot p$ analysis and realistic tight-binding calculations, we find that time-reversal-breaking Weyl semimetals can be realized in magnetically-doped (Mn, Eu, Cr etc.) Sn$_{1-x}$Pb$_x$(Te,Se) class of topological crystalline…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 Junwei Liu , Chen Fang , Liang Fu

The discovery of topological semimetals with multifold band crossings has opened up a new and exciting frontier in the field of topological physics. These materials exhibit large Chern numbers, leading to long double Fermi arcs on their…

Numerous efforts have been devoted to reveal exotic semimetallic phases with topologically non-trivial bulk and/or surface states in materials with strong spin-orbit coupling. In particular, semimetals with nodal line Fermi surface (FS)…

Strongly Correlated Electrons · Physics 2016-04-22 Yige Chen , Heung-Sik Kim , Hae-Young Kee

Very recently the topological Weyl semimetal (WSM) state was predicted in the noncentrosymmetric compounds TaAs, TaP, NbAs, and NbP and soon led to photoemission and transport experiments to verify the presumed topological properties such…

Materials Science · Physics 2015-09-22 Yan Sun , Shu-Chun Wu , Binghai Yan

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

Fermi arcs, i.e., surface states connecting topologically-distinct Weyl points, represent a paradigmatic manifestation of the topological aspects of Weyl physics. Here, we investigate a light-matter interface based on the photonic…

Weyl metal is the first example of a conducting material with a nontrivial electronic structure topology, making it distinct from an ordinary metal. Unlike in insulators, the nontrivial topology is not related to invariants, associated with…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 A. A. Burkov

Weyl semimetals host topologically protected surface states, the so-called Fermi arcs, that have a penetration depth into the bulk that depends on surface-momentum, and diverges at the Weyl points. It has recently been observed in PtBi$_2$…

Superconductivity · Physics 2025-09-12 Mattia Trama , Viktor Könye , Ion Cosma Fulga , Jeroen van den Brink

Topological nodal-line semimetals offer an interesting research platform to explore novel phenomena associated with its torus-shaped Fermi surface. Here, we study magnetotransport in the massive nodal-line semimetal with spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Min-Xue Yang , Hao Geng , Wei Luo , Li Sheng , Wei Chen , D. Y. Xing

The ideas of topology have found tremendous success in Hermitian physical systems, but even richer properties exist in the more general non-Hermitian framework. Here, we theoretically propose and experimentally demonstrate a new…

Topological phases of matter exhibit phase transitions between distinct topological classes. These phase transitions are exotic in that they do not fall within the traditional Ginzburg-Landau paradigm but are instead associated with changes…