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My PhD thesis - Condensed Matter Theory - Imperial College London

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CHAPTER 8. APPLYING THE PLASMON NORMAL MODE THEORY TO<br />

SLAB SYSTEMS<br />

0.6<br />

LDA<br />

plasmon u<br />

0.5<br />

0.4<br />

n(z)<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

0 s<br />

z<br />

Figure 8.21: Electron density profile for the bounded slab, with the plasmon two-body term only.<br />

The long-ranged correlations alter the density drastically, as in the unbounded slab; electrons are<br />

pushed to the slab edges.<br />

pletely changes the electron density when used without the corresponding one-body<br />

function; this is illustrated in figure 8.21. When the one-body function is applied,<br />

the density is very close to the LDA result, as can be seen in figure 8.22. The<br />

correction is better here than in the unbounded slab. Consequently, the energy is<br />

lower than that achieved with the full short-ranged Jastrow factor; the density for<br />

this configuration, shown in figure 8.23, is as good as that for the plasmon Jastrow<br />

factor, but the energy is higher.<br />

163

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