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Fermi arc states are features of Weyl semimetal (WSM) surfaces which are robust due to the topological character of the bulk band structure. We demonstrate that Fermi arcs may undergo profound restructurings when surfaces of different…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Ganpathy Murthy , Herbert A Fertig , Efrat Shimshoni

The surface states of Weyl semi-metals (SM's) consist of disjointed Fermi-arcs. This unusual surface-Fermiology provides a fingerprint of the topological features of the bulk Weyl-phase. Using a combination of semiclassical and numerical…

Mesoscale and Nanoscale Physics · Physics 2014-10-22 Andrew C. Potter , Itamar Kimchi , Ashvin Vishwanath

In the recently discovered Weyl semimetals, the Fermi surface may feature disjoint, open segments -- the so-called Fermi arcs -- associated with topological states bound to exposed crystal surfaces. Here we show that the collective dynamics…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Justin C. W. Song , Mark S. Rudner

Distinct to type-I Weyl semimetals (WSMs) that host quasiparticles described by the Weyl equation, the energy dispersion of quasiparticles in type-II WSMs violates Lorentz invariance and the Weyl cones in the momentum space are tilted.…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 M. -Y. Yao , N. Xu , Q. Wu , G. Autès , N. Kumar , V. N. Strocov , N. C. Plumb , M. Radovic , O. V. Yazyev , C. Felser , J. Mesot , M. Shi

The exploration of topological phase transition (TPT) mechanisms constitutes a central theme in quantum materials research. Conventionally, transitions between Weyl semimetals (WSMs) and other topological states rely on the breaking of…

Materials Science · Physics 2025-12-12 Huan Li

Weyl semimetals exhibit exotic Fermi-arc surface states, which strongly affect their electromagnetic properties. We derive analytical expressions for all components of the composite density-spin response tensor for the surfaces states of a…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Sayandip Ghosh , Carsten Timm

Weyl semimetal is a new quantum state of matter [1-12] hosting the condensed matter physics counterpart of relativisticWeyl fermion [13] originally introduced in high energy physics. The Weyl semimetal realized in the TaAs class features…

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

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…

The recent experimental discovery of a Weyl semimetal in TaAs provides the first observation of a Weyl fermion in nature and demonstrates a novel type of anomalous surface state band structure, consisting of Fermi arcs. So far, work has…

For a Weyl semimetal (WSM) in a magnetic field, a semiclassical description of the Fermi-arc surface state dynamics is usually employed for explaining various unconventional magnetotransport phenomena, e.g., Weyl orbits, the…

Mesoscale and Nanoscale Physics · Physics 2024-12-02 Tim Bauer , Francesco Buccheri , Alessandro De Martino , Reinhold Egger

We investigate the effect of the incommensurate potential on Weyl semimetal, which is proposed to be realized in ultracold atomic systems trapped in three-dimensional optical lattices. For the system without the Fermi arc, we find that the…

Disordered Systems and Neural Networks · Physics 2017-05-31 Yucheng Wang , Shu Chen

Weyl semimetals host topologically protected surface states, with arced Fermi surface contours that are predicted to propagate through the bulk when their momentum matches that of the surface projections of the bulk's Weyl nodes. We use…

Mesoscale and Nanoscale Physics · Physics 2016-03-14 Hiroyuki Inoue , Andras Gyenis , Zhijun Wang , Jian Li , Seong Woo Oh , Shan Jiang , Ni Ni , B. Andrei Bernevig , Ali Yazdani

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

As the development of topological band theory, comprehensive databases about time reversal and crystalline symmetries protected nonmagnetic topological materials were developed via first-principles calculations recently. However, owing to…

Materials Science · Physics 2020-04-06 Qiunan Xu , Yang Zhang , Klaus Koepernik , Wujun Shi , Jeroen van den Brink , Claudia Felser , Yan Sun

Topological semimetals in crystals with a chiral structure (which possess a handedness due to a lack of mirror and inversion symmetries) are expected to display numerous exotic physical phenomena, including fermionic excitations with large…

Topological semimetals are some of the topological phases of matter most intensely-studied experimentally. The Weyl semimetal phase, in particular, has garned tremendous, sustained interest given fascinating signatures such as the Fermi arc…

Mesoscale and Nanoscale Physics · Physics 2025-04-01 Adipta Pal , Ashley M. Cook

A Weyl semimetal (WSM) is a novel topological phase of matter, in which Weyl fermions (WFs) arise as pseudo-magnetic monopoles in its momentum space. The chirality of the WFs, given by the sign of the monopole charge, is central to the Weyl…

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

The Weyl-Mott insulator (WMI) has been postulated as a novel type of correlated insulator with non-trivial topological properties. We introduce a minimal microscopic model that captures generic features of the WMI transition in Weyl…

Strongly Correlated Electrons · Physics 2024-02-27 Manuel Fernández López , Iñaki García-Elcano , Jorge Bravo-Abad , Jaime Merino