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Three Dimensional Dirac Semimetals

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Figure 1.3: 3D Dirac semimetal in β -cristobalite BiO2. Although the Dirac pointsare three dimensional, the conduction and valence bands E(k∥, k⊥) are plotted as afunction of k∥ while k⊥ is fixed and defines a plane connecting the three X points inthe BZ (Fi
Figure 1.4: Schematic illustration of Dirac points arising due to band inversion andstabilized by rotation symmetry
Figure 1.5: Fermi surface of an isotropic Weyl point centered at the origin. A nonzeroChern number implies the existence of a singularity (charge ±1) within the surface.
Figure 2.1: Chern number modulo ncorrespondingThe Dirac point splits into four nondegenerate bands and exhibits nonzero Chernnumber
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