Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications

Abstract

Dirac and Weyl materials refer to a class of solid materials which host low-energy quasiparticle excitations that can be described by the Dirac and Weyl equations in relativistic quantum mechanics. Starting with the advent of graphene as the first prominent example, these materials have been attracting tremendous interest owing to their novel fundamental properties as well as the great potential for applications. Here we introduce the basic concepts and notions related to Dirac and Weyl materials and briefly review some recent works in this field, particularly on the conceptual development and the possible spintronics/pseudospintronics applications.

19 pages, 13 figures; Invited Review for Special Issue on Advanced Spintronics in Novel Materials and Its Applications

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• The electronic properties of graphene
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• Topological confinement in bilayer graphene
• Graphene valley filter using a line defect
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• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• 3D Dirac semimetals: current materials, design principles and predictions of new materials
• Generation of pure bulk valley current in graphene
• Valley filter in strain engineered graphene
• Tunable Line Node Semimetals
• Generation of valley polarized current in bilayer graphene
• Valley-polarized quantum anomalous Hall phase and disorder induced valley-filtered chiral edge channels

Cited by in corpus (16)

• Nonsymmorphic-symmetry-protected hourglass Dirac loop, nodal line, and Dirac point in bulk and monolayer $X_3$SiTe${}_6$ ($X=$ Ta, Nb)
• Three-dimensional Pentagon Carbon with a genesis of emergent fermions
• Ferromagnetic hybrid nodal loop and switchable type-I and type-II Weyl fermions in two-dimension
• Second-Order Real Nodal-Line Semimetal in Three-Dimensional Graphdiyne
• Hybrid Dirac Semimetal in CaAgBi Materials Family
• From Type-II Triply Degenerate Nodal Points and Three-Band Nodal Rings to Type-II Dirac Points in Centrosymmetric Zirconium Oxide
• Hourglass Weyl loops in two dimensions: Theory and material realization in monolayer GaTeI family
• Tunable Topological Energy Bands in 2D Dialkali-Metal Monoxides
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
• Quantum Transport in Weyl Semimetal Thin Films in the Presence of Spin-Orbit Coupled Impurities
• Hexagonal supertetrahedral boron: A topological metal with multiple spin-orbit-free emergent fermions
• Type-II topological metals
• Anomalous spatial shifts in interface electronic scattering
• Nonsymmorphic nodal-line metals in the two-dimensional rare earth monochalcogenides MX (M = Sc, Y; X = S, Se, Te)
• Symmetry-protected Spinful Magnetic Weyl Nodal Loops and Multi-Weyl Nodes in $5d^n$ Cubic Double Perovskites $(n=1,2)$
• Hydrodynamic description of Weyl fermions in condensed state of matter