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In topological quantum materials the conduction and valence bands are connected at points (Dirac/Weyl semimetals) or along lines (Line Node semimetals) in the momentum space. Numbers of studies demonstrated that several materials are indeed…

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

Weyl semimetals are prominent examples of topologically protected quantum matter. These materials are the three-dimensional counterparts of graphene and great efforts are being devoted to achieve a thorough understanding of their…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 A. Díaz-Fernández , F. Domínguez-Adame , O. de Abril

Physics of graphene and physics of superfluid phases of 3He have many common features. Both systems are topological materials where quasiparticles behave as relativistic massless (Weyl, Majorana or Dirac) fermions. We formulate the points…

Mesoscale and Nanoscale Physics · Physics 2014-05-02 M. I. Katsnelson , G. E. Volovik

Spintronics has become a broad and important research field that intersects with magnetism, nano-electronics, and materials science. Its overarching aim is to provide a fundamental understanding of spin-dependent phenomena in solid-state…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 David T. S. Perkins , Aires Ferreira

Weyl semimetals have been intensely studied as a three dimensional realization of a Dirac-like excitation spectrum where the conduction bands and valence bands touch at isolated Weyl points in momentum space. Like in graphene, this property…

Strongly Correlated Electrons · Physics 2017-11-22 Tobias Holder , Chia-Wei Huang , Pavel Ostrovsky

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

The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of Dirac particles a symplectic two-form which is a matrix in…

High Energy Physics - Theory · Physics 2017-05-02 O. F. Dayi , E. Kilincarslan , E. Yunt

The paper presents the author view on spin-rooted properties of graphene supported by numerous experimental and calculation evidences. Dirac fermions of crystalline graphene and local spins of graphene molecules are suggested to meet a…

Materials Science · Physics 2016-12-28 Elena F. Sheka

Topological quantum matter and spintronics research have been developed to a large extent independently. In this Review we discuss a new role that the antiferromagnetic order has taken in combining topological matter and spintronics. This…

Mesoscale and Nanoscale Physics · Physics 2017-04-06 L. Šmejkal , T. Jungwirth , J. Sinova

We show that a thin film of Weyl or Dirac semimetal with a strong in-plane magnetic field becomes a novel two-dimensional Fermi liquid with interesting properties. The Fermi surface in this system is strongly anisotropic, which originates…

Mesoscale and Nanoscale Physics · Physics 2016-02-24 Daniel Bulmash , Xiao-Liang Qi

A wide range of materials like graphene, topological insulators and transition metal dichalcogenides (TMDs) share an interesting property: the low energy excitations behave as Dirac particles. This emergent behavior of Dirac quasiparticles…

Strongly Correlated Electrons · Physics 2018-11-07 Leone Di Mauro Villari , Ian Galbraith , Fabio Biancalana

Using the Landau-Zener-St\"uckelberg-Majorana-type (LZSM) semiclassical approach, we study both graphene and a thin film of a Weyl semimetal subjected to a strong AC electromagnetic field. The spectrum of quasi energies in the Weyl…

Mesoscale and Nanoscale Physics · Physics 2016-11-04 Ya. I. Rodionov , K. I. Kugel , Franco Nori

Dirac-Weyl semimetals are unique three-dimensional (3D) phases of matter with gapless electrons and novel electrodynamic properties believed to be robust against weak perturbations. Here, we unveil the crucial influence of the disorder…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 J. P. Santos Pires , B. Amorim , Aires Ferreira , İnanç Adagideli , Eduardo R. Mucciolo , J. M. Viana Parente Lopes

Characterized by bulk Dirac or Weyl cones and surface Fermi-arc states, topological semimetals have sparked enormous research interest in recent years. The nanostructures, with large surface-to-volume ratio and easy field-effect gating,…

Mesoscale and Nanoscale Physics · Physics 2020-05-01 An-Qi Wang , Xing-Guo Ye , Da-Peng Yu , Zhi-Min Liao

We present a real-space view of one-dimensional (1D) to three-dimensional (3D) topological materials with 13 representative samples selected from each class, including 1D trans-polyacetylene, two-dimensional (2D) graphene, and 3D…

Strongly Correlated Electrons · Physics 2019-02-08 F. C. Chou

This study is devoted to the profound implications of tilted Dirac cones on the quantum transport properties of two-dimensional (2D) Dirac materials. These materials, characterized by their linear conic energy dispersions in the vicinity of…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Rasha Al-Marzoog , Ali Rezaei , Zahra Noorinejad , Mohsen Amini , Ebrahim Ghanbari-Adivi , S. A. Jafari

The Weyl semimetals represent a distinct category of topological materials wherein the low-energy excitations appear as the long-sought Weyl fermions. Exotic transport and optical properties are expected because of the chiral anomaly and…

After the discovery of graphene and its many fascinating properties, there has been a growing interest for the study of "artificial graphenes". These are totally different and novel systems which bear exciting similarities with graphene.…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 Gilles Montambaux

Optical lattices are known for their flexibility to emulate condensed matter physics and beyond. Based on an early theoretical proposal [Science Bulletin 65, 2080 (2020)], a recent experiment published by Wang et al. [Science 372, 271…

Quantum Gases · Physics 2021-07-01 Xiaopeng Li , W. Vincent Liu
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