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(Color online) (a) The dashed lines and solid lines indicate the Brillouin zones of the 1 × 1 unit cell and 2 × 2 supercell of graphene, respectively. Specific k-points are labeled. (b) and (c) are the top views of graphene and the metal layer. (d)-(f) are the side views of the atomic models that the metals are, respectively, at T1, H3, and T4 sites, and the graphene is at the position shown in (b).
(Color online) (a) and (b) are the pots of the Dirac points versus strain without and with vdW forces. The lines serve as guide to the eye. (c) and (d) are the plots of the distance between metal layer and graphene versus the strain after atomic relaxations without and with vdW forces.
(Color) The band structures of the metal-intercalated graphene on SiC(0001) at a coverage of 3/8 ML for (a) Al, (b) Ag, (c) Au, (d) Pt, and (e) Pd. For plots in the left column, the sizes of circles and crosses are proportional to the contributions from the graphene, whereas for those in the right column, the sizes are proportional to the contributions from the metal layers. The blue circles and red crosses indicate the spin orientations along −y axis and +y axis, respectively. The red arrows indicate the bands used to determine the Rashba parameters.
The site where the metal adsorbs and the position of the graphene, G. The Dirac point (ED ) and induced gap (Eg ) of bands contributed from graphene. The splitting of bands near the K point contributed from graphene, ΔSOC . Spin-orbit splitting (k 0), Rashba energy (ER ), and Rashaba parameter (αR ) of bands contributed from the metal layer. The values in the parentheses are calculated without SOC.
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