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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…

Optics · Physics 2018-04-18 Ce Shang , Yuanlin Zheng , Boris A. Malomed

Topological media are systems whose properties are protected by topology and thus are robust to deformations of the system. In topological insulators and superconductors the bulk-surface and bulk-vortex correspondence gives rise to the…

Strongly Correlated Electrons · Physics 2015-09-28 G. E. Volovik

In the rapidly expanding field of topological materials there is growing interest in systems whose topological electronic band features can be induced or controlled by magnetism. Magnetic Weyl semimetals, which contain linear band crossings…

Weyl semimetal emerges as a new topologically nontrivial phase of matter, hosting low-energy excitations of massless Weyl fermions. Here, we present a comprehensive study of the type-II Weyl semimetal WP2. Transport studies show a…

The manifestation of Weyl fermions in strongly correlated electron systems is of particular interest. We report evidence for Weyl fermions in the heavy fermion semimetal YbPtBi from electronic structure calculations, angle-resolved…

Strongly Correlated Electrons · Physics 2018-11-07 C. Y. Guo , F. Wu , Z. Z. Wu , M. Smidman , C. Cao , A. Bostwick , C. Jozwiak , E. Rotenberg , Y. Liu , F. Steglich , H. Q. Yuan

The monopnictides TaAs and TaP are well-established Weyl semimetals. Yet, a precise assignment of Fermi arcs, accomodating the predicted chiral charge of the bulk Weyl points, has been difficult in these systems, and the topological…

Electrical manipulation of emergent phenomena due to nontrivial band topology is a key to realize next-generation technology using topological protection. A Weyl semimetal is a three-dimensional gapless system that hosts Weyl fermions as…

How strong correlations and topology interplay is a topic of great current interest. In this perspective paper, we focus on correlation-driven gapless phases. We take the time-reversal symmetric Weyl semimetal as an example because it is…

Strongly Correlated Electrons · Physics 2024-08-02 Diana M. Kirschbaum , Monika Lužnik , Gwenvredig Le Roy , Silke Paschen

Recent numerical simulations of flat band models with interactions which show clear evidence of fractionalized topological phases in the absence of a net magnetic field have generated a great deal of interest. We provide an explanation for…

Strongly Correlated Electrons · Physics 2014-11-05 Rahul Roy

The existence and topological classification of lower-dimensional Fermi surfaces is often tied to the crystal symmetries of the underlying lattice systems. Artificially engineered lattices, such as heterostructures and other superlattices,…

Mesoscale and Nanoscale Physics · Physics 2017-12-08 Jan Behrends , Jun-Won Rhim , Shang Liu , Adolfo G. Grushin , Jens H. Bardarson

Despite the rapid progress in the study of planar Hall effect (PHE) in recent years, all the previous works only showed that the PHE is connected to local geometric quantities, such as Berry curvature. Here, for the first time, we point out…

Mesoscale and Nanoscale Physics · Physics 2024-12-23 Lei Li , Chaoxi Cui , Run-Wu Zhang , Zhi-Ming Yu , Yugui Yao

Topological semimetals are a class of novel three-dimensional (3D) electronic phases that feature topologically protected conical band-touchings at the Fermi level. These band-touching points are monopoles of Berry curvature in momentum…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 J. P. Santos Pires

The ternary van der Waals material NbIrTe$_4$ is a Type-II Weyl semimetal. We use a tunable circularly polarized mid-infrared laser to investigate the existence of band-to-band excitations using transient reflectivity in an exfoliated…

Materials Science · Physics 2022-01-03 Seyyedesadaf Pournia , Giriraj Jnawali , Samuel Linser , Howard E. Jackson , Leigh M. Smith

The spectral properties of non-self-adjoint extensions $A_{[B]}$ of a symmetric operator in a Hilbert space are studied with the help of ordinary and quasi boundary triples and the corresponding Weyl functions. These extensions are given in…

Spectral Theory · Mathematics 2020-07-20 Jussi Behrndt , Matthias Langer , Vladimir Lotoreichik , Jonathan Rohleder

The Weyl semimetal phase is a recently discovered topological quantum state of matter characterized by the presence of topologically protected degeneracies near the Fermi level. These degeneracies are the source of exotic phenomena,…

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

Electron correlations amplify quantum fluctuations and, as such, they have been recognized as the origin of a rich landscape of quantum phases. Whether and how they lead to gapless topological states is an outstanding question, and a…

The nonlinear Hall effect (NLHE) connects crystalline symmetry to quantum geometry, offering a probe of band topology beyond linear transport. While most studies have focused on the Berry curvature dipole in low-symmetry crystals,…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Heda Zhang , Nikolai Peshcherenko , Ning Mao , Nianlong Zou , Jiaqiang Yan , Claudia Felser , Yang Zhang

Electrons on Fermi arcs (FAs), a hallmark of Weyl semimetals, exhibit chiral transport harboring chiral anomaly, negative magnetoresistance, and Majorana zero modes. While FAs were observed in exemplary Weyl semimetal TaAs and Co3Sn2S2, the…

Materials Science · Physics 2025-09-01 Yiran Peng , Rui Liu , Pengyu Zheng , Zhiping Yin

Weyl fermions are expected to exhibit exotic physical properties such as the chiral anomaly, large negative magnetoresistance or Fermi arcs. Recently a new platform to realize these fermions has been introduced based on the appearance of a…

Materials Science · Physics 2018-10-17 M. G. Vergniory , L. Elcoro , F. Orlandi , B. Balke , Y. -H. Chan , J. Nuss , A. P. Schnyder , L. M. Schoop