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

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Theoretical Background <strong>of</strong> Semiconductor Nanostructures<br />

On other hand, Fig. 2.1(a) shows a direct bandgap <strong>semiconductor</strong> materials<br />

such as compound <strong>semiconductor</strong>s <strong>of</strong> group <strong>III</strong> and V in the periodic table (e.g.,<br />

GaAs or InAs, etc.). If the electron given some energy in the form <strong>of</strong> heat, voltage,<br />

or absorption <strong>of</strong> a photon. When an electron is raised to the conduction band, it<br />

leaves behind in the valence band a particle called a hole, which represents the<br />

absence <strong>of</strong> an electron and is treated as a positive particle. These two particles<br />

are called exciton (electron-hole pair). Between those two bands is the bandgap,<br />

a region <strong>of</strong> forbidden energies for the electrons (bandgap). Electrons that have<br />

been excited to the conduction band will eventually return to the valence band,<br />

recombining with a hole. This represents the natural tendency <strong>of</strong> a system to<br />

return into the lowest energy state possible. When an electron recombines with<br />

a hole, conservation <strong>of</strong> energy dictates that their dierence in energy (which is<br />

the energy dierence between the bottom <strong>of</strong> the conduction band and the top <strong>of</strong><br />

the valence band, i.e. the bandgap energy) must be conserved. Depending on the<br />

type <strong>of</strong> material, this energy dierence might result either in light (emission <strong>of</strong> a<br />

photon) or it is mostly transferred to the lattice vibrations and dissipated as heat<br />

(emission <strong>of</strong> a phonon). Therefore, an electron raised to the conduction band, will<br />

recombine in a very short time 10 −9 s with a valence band hole to emit a photon<br />

<strong>of</strong> energy hν equal to the bandgap E g <strong>of</strong> the material [15]. Thus, the probability<br />

<strong>of</strong> radiative recombination is very high in direct bandgap <strong>semiconductor</strong>s.<br />

Despite that silicon has very excellent electronic, thermal and mechanical<br />

properties. However due to its indirect bandgap silicon exhibits poor optoelectronic<br />

properties. The light emission in indirect bandgap silicon can be explained<br />

in terms <strong>of</strong> phonon-assisted exciton recombination across the bandgap [13, 15]. In<br />

the bulk material, this phonon-assisted optical transition is very weak and dominates<br />

many other non-radiative processes resulting in a huge drop in the light<br />

emission eciency. Therefore, bulk silicon is not suitable for the implementation<br />

<strong>of</strong> optoelectronic devices, which is needed for the new demand <strong>of</strong> ultra-high<br />

speed chips (super chips). To date, the <strong>semiconductor</strong> optoelectronics industry<br />

has been dominated by the <strong>III</strong>-V compound <strong>semiconductor</strong>s because <strong>of</strong> their high<br />

eciency in optical transitions primarily due to their direct fundamental energy<br />

bandgap. However, the integration <strong>of</strong> <strong>III</strong>-V optoelectronic devices with silicon<br />

10

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