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tel-00916300, version 1 - 10 Dec 2013<br />

in the <strong>de</strong>pletion zone the photocarriers dissociate due to an internal electric eld<br />

and are sent to n-region or p-region accordingly contributing to a directly generated<br />

photocurrent. Thus the photocurrent of a solar cell is a sum of the three components:<br />

photocurrent due to diusion of holes, photocurrent due to the diusion of electrons<br />

and directly generated photocurrent in the <strong>de</strong>pletion region. Thus it can be seen<br />

that the diusion of the minority carriers plays a vital role in the photocurrent of the<br />

<strong>de</strong>vice. In c-<strong>Si</strong> wafers, the minority carrier diusion lengths, L diff are suciently<br />

high to transport the minority carriers by diusion to the junction. But, c-<strong>Si</strong> being<br />

an indirect semiconductor requires 100 µm thick layer to absorb 90% of light whereas<br />

1mm of GaAs is sucient to achieve the same level of absorption being a direct<br />

semiconductor.<br />

Conventionally the band structure of a semiconductor is represented by the E-k<br />

diagram (Fig. 1.5), where E is the energy of an electron or a hole at the band<br />

edge with wave vector k in the rst Brillouin zone. The dierence between the<br />

highest point in the valence band and the lowest point in the conduction band gives<br />

the bandgap (E g ) of the material. When these two points do not lie at the same<br />

position of k as in the case of <strong>Si</strong>, the semiconductor is said to possess an indirect<br />

bandgap.<br />

Figure 1.5: Energy vs. momentum (E-k diagram) of Direct and Indirect bandgap semiconductors<br />

[Coa 05]. ILLUSTRATION: JOHN MACNEILL.<br />

Bulk c-<strong>Si</strong> is an indirect bandgap semiconductor (E g = 1.1 eV), and hence the<br />

recombination of electron in the conduction band with the hole in the valence band<br />

requires the participation of a third particle, which is the phonon (lattice vibrations)<br />

with a wavevector equal to the initial conduction band state. The probability of<br />

10

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