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Molecular beam epitaxial growth of III-V semiconductor ... - KOBRA

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2.1 The Importance <strong>of</strong> Silicon<br />

nects, constituting the so-called optoelectronic integrated circuits (OEIC) [14].<br />

• Indirect Bandgap Nature :<br />

In a <strong>semiconductor</strong> with an indirect fundamental energy bandgap, such as silicon,<br />

the maximum <strong>of</strong> the valence band and the minimum <strong>of</strong> the conduction band<br />

are at dierent locations in the k-space as shown in Fig. 2.1(b). Recombination<br />

via a single photon, which carries negligible momentum, is not allowed because<br />

<strong>of</strong> momentum conservation. Participation <strong>of</strong> a phonon with the right momentum<br />

is necessary to satisfy momentum conservation. Phonons are quantized modes <strong>of</strong><br />

lattice vibrations that occur in a solid. In the bulk material, this phonon-assisted<br />

optical transition is very weak, allowing many other nonradiative processes to<br />

dominate resulting in a huge drop in the light emission eciency.<br />

Figure 2.1: Schematic diagram <strong>of</strong> <strong>semiconductor</strong> band structure (dispersion relation)<br />

<strong>of</strong> dierent <strong>semiconductor</strong> types. (a) Direct bandgap <strong>semiconductor</strong> with electron-hole<br />

pair (exciton) formation after excitation from valance band to conduction band shows<br />

clear emission <strong>of</strong> a photon. (b) Indirect bandgap <strong>semiconductor</strong> require a phonon to<br />

make this transition possible. Figure modied according to reference [15].<br />

9

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