Bulk-boundary correspondence and topological nontrivial nature of TaP

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Presentation transcript:

Fig. 4 Bulk-boundary correspondence and topological nontrivial nature of TaP. Bulk-boundary correspondence and topological nontrivial nature of TaP. (A) ARPES energy-momentum dispersion map along the high-symmetry line, which shows six band crossings at the Fermi level. (B) Calculated energy dispersion along the line. The calculation uses the Green function technique to obtain the spectral weight from the top unit cell of a semi-infinite TaP system. (C) Similar to (B) but for the top two unit cells. (D) Schematic examples of closed paths (green and magenta triangles) that enclose both W1 and W2 Weyl nodes. The bigger black and white circles represent the projected W2 nodes, whereas the smaller ones correspond to the W1 nodes. The red lines denote the Fermi arcs and the blue lines show the trivial surface states. The specific configuration of the surface states in this cartoon is not intended to reflect the Fermi arc connectivity in TaP. It simply provides an example of one configuration of the surface states that is allowed by the projected Weyl nodes and their chiral charges by the bulk-boundary correspondence. (E) Zoomed-in ARPES spectra near the W2 nodes along . The white dashed line marks a rectangular loop that encloses a projected W2 Weyl node. The circles are added by hand on the basis of the calculated locations of the projected W2 nodes. (F to I) ARPES dispersion data as one travels around the k-space rectangular loop shown in (E) in a counterclockwise way from I to IV. The closed path has edge modes with a net chirality of 2, showing that the path must enclose a projected chiral charge of 2 using no first-principles calculations, assumptions about the crystal lattice or band structure, or ARPES spectra of the bulk bands. Su-Yang Xu et al. Sci Adv 2015;1:e1501092 Copyright © 2015, The Authors