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Weyl semimetals harbor unusual surface states known as Fermi arcs, which are essentially disjoint segments of a two dimensional Fermi surface. We describe a prescription for obtaining Fermi arcs of arbitrary shape and connectivity by…

Strongly Correlated Electrons · Physics 2012-11-08 Pavan Hosur

Topological boundary states, emerged at the spatial boundary between topological non-trivial and trivial phases, are usually gapless, or commonly referred as metallic states. For example, the surface state of a topological insulator is a…

The Weyl semimetal NbP was found to exhibit topological Fermi arcs and exotic magneto-transport properties. Here, we report on magnetic quantum-oscillation measurements on NbP and construct the 3D Fermi surface with the help of…

Since the prediction and observation of topological Weyl semimetals (chiral TSMs), there have been enormous efforts to characterize further condensed matter realizations of chiral fermions. These efforts were dramatically accelerated by the…

Mesoscale and Nanoscale Physics · Physics 2025-12-24 Justin Schirmann , Adolfo G. Grushin , Benjamin J. Wieder

Topological semimetals feature protected nodal band degeneracies characterized by a topological invariant known as the Chern number (C). Nodal band crossings with linear dispersion are expected to have at most |C|=4, which sets an upper…

We study the properties of the surface states in three-dimensional topological insulators in the presence of a ferromagnetic exchange field. We demonstrate that for layered materials like Bi$_2$Se$_3$ the surface states on the top surface…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 Tomi Paananen , Henning Gerber , Matthias Götte , Thomas Dahm

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

Topological semimetals exhibit band crossings near the Fermi energy, which are protected by the nontrivial topological character of the wave functions. In many cases, these topological band degeneracies give rise to exotic surface states…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Jonathan Zhang , Y. -H. Chan , Ching-Kai Chiu , Maia G. Vergniory , Leslie M. Schoop , Andreas P. Schnyder

Bulk-surface correspondence in Weyl semimetals assures the formation of topological "Fermi-arc" surface bands whose existence is guaranteed by bulk Weyl nodes. By investigating three distinct surface terminations of the ferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2019-09-23 Noam Morali , Rajib Batabyal , Pranab Kumar Nag , Enke Liu , Qiunan Xu , Yan Sun , Binghai Yan , Claudia Felser , Nurit Avraham , Haim Beidenkopf

Surface Fermi arcs (SFAs), the unique open Fermi-surfaces (FSs) discovered recently in topological Weyl semimetals (TWSs), are unlike closed FSs in conventional materials and can give rise to many exotic phenomena, such as anomalous…

In a Dirac semimetal, the massless Dirac fermion has zero chirality, leading to surface states connected adiabatically to a topologically trivial surface state as well as vanishing anomalous Hall effect (AHE). Recently, it is predicted that…

Fermi arcs on Weyl semimetals exhibit many exotic quantum phenomena. Usually considered on atomically-flat surfaces with approximate translation symmetry, Fermi arcs are rooted in peculiar topology of bulk Bloch bands of three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-05-15 Xiaohu Zheng , Qiangqiang Gu , Yiyuan Liu1 , Bingbing Tong , Jian-Feng Zhang , Chi Zhang , Shuang Jia , Ji Feng , Rui-Rui Du1

Weyl semimetals (WSMs) are topological quantum states wherein the electronic bands linearly disperse around pairs of nodes, the Weyl points, of fixed (left or right) chirality. The recent discovery of WSM materials triggered an experimental…

Weyl semimetals are topological materials with protected Weyl nodes in the band structure. In these materials the surface states form open curves at the Fermi surface, Fermi arcs in Weyl semimetals and drumhead states of nodal-line…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Enrique Benito-Matías , Rafael A. Molina

Strong correlation, in concert with symmetry and topology, engenders novel gapless phases of matter, though only a tip of the iceberg has been seen. An exemplary framework is provided by Weyl-Kondo semimetals, in which Weyl fermions develop…

Magnetic topological materials have recently drawn significant importance and interest, due to their topologically nontrivial electronic structure within spontaneous magnetic moments and band inversion. Based on first-principles…

Strongly Correlated Electrons · Physics 2018-07-20 R. Wang , Y. J. Jin , J. Z. Zhao , Z. J. Chen , Y. J. Zhao , H. Xu

Topological materials hosting multifold fermions and bosons have emerged as a rich platform for exploring unconventional quasiparticles and transport phenomena. In this work, we investigate the chiral crystal SiTc using first-principles…

Materials Science · Physics 2025-07-01 Shivendra Kumar Gupta , Saurabh Kumar Sen , Nagarjuna Patra , Ajit Singh Jhala , Poorva Singh

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

A Weyl semimetal is a new state of matter that host Weyl fermions as quasiparticle excitations. The Weyl fermions at zero energy correspond to points of bulk band degeneracy, Weyl nodes, which are separated in momentum space and are…

Exotic massless fermionic excitations with non-zero Berry flux, other than Dirac and Weyl fermions, could exist in condensed matter systems under the protection of crystalline symmetries, such as spin-1 excitations with 3-fold degeneracy…

Materials Science · Physics 2017-11-20 Peizhe Tang , Quan Zhou , Shou-Cheng Zhang