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Dirac Fermions in Graphene and Graphite—a view from angle ...

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Figure 3.5. Intensity map at -1 eV as a function of k ‖ <strong>and</strong> k z .<br />

Figure 3.6. Measured dispersions <strong>from</strong> s<strong>in</strong>gle layer graphene to four layer graphene, <strong>from</strong> Ohta et al 48 .<br />

This can also be achieved by measur<strong>in</strong>g the dispersions along the out-of-plane direction k z . For a s<strong>in</strong>gle layer<br />

graphene, there is no dispersion along k z direction (see Fig. 3.5). For bilayer graphene or trilayer graphene,<br />

the <strong>in</strong>tensity oscillates periodically between the different π b<strong>and</strong>s (see Fig. 3.6) 48 . When the number of<br />

layers is larger than 10, the electronic structure is hardly dist<strong>in</strong>guishable <strong>from</strong> that of graphite.<br />

3.2.4 Low energy electron microscopy (LEEM)<br />

LEEM is a powerful technique to study the surface topography <strong>and</strong> the dynamics of the growth process.<br />

Fig. 3.7 shows the LEEM images <strong>in</strong> SiC before <strong>and</strong> after anneal<strong>in</strong>g at 900C under Si flux. After anneal<strong>in</strong>g,<br />

the SiC surface shows less defects <strong>and</strong> a smoother surface. Further anneal<strong>in</strong>g without Si flux leads to growth<br />

of the buffer layer 49,50 - a carbon layer with the same σ b<strong>and</strong>s as graphene without the low energy π b<strong>and</strong><br />

- <strong>and</strong> eventually the growth of graphene.<br />

Fig. 3.8 shows the surface topography of the as-grown graphene. Clear color contrast between white,<br />

gray to black (labeled by black, blue <strong>and</strong> red colors <strong>in</strong> Fig. 3.8) can be clearly observed. The temperature at<br />

which these regions form <strong>in</strong>creases <strong>from</strong> white, gray to black regions. Scans of the reflected electron <strong>in</strong>tensity<br />

as a function of electron energy <strong>in</strong> these three characteristic regions show that the gray <strong>and</strong> black regions<br />

have one <strong>and</strong> two quantum oscillations, which correspond to s<strong>in</strong>gle layer <strong>and</strong> bilayer graphene respectively.<br />

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