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a direct bandgap semiconductor [Gnutzmann 74] and increases the probability of<br />

radiative recombinations. Thus, QCE leads to strong variations in the optical and<br />

electronic properties of a material.<br />

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

Figure 1.9: (a) The consequence of Quantum Connement Eect, and (b) the <strong>de</strong>nsity of<br />

states of structures conned in 1D, 2D and 3D.<br />

The connement of excitons in a semiconductor in one, two or three spatial dimensions<br />

are termed as quantum wells, quantum wires or quantum dots respectively<br />

(Fig. 1.9b).<br />

1.4.2 <strong>Si</strong>licon nanostructures<br />

The quantum connement eects (QCE) in three dimensionally conned semiconducting<br />

crystals was i<strong>de</strong>ntied in the early 1980s [Ekimov 81]. About the same<br />

time investigations began on the <strong>Si</strong> nanostructures conned along one direction<br />

(quantum wells) and QCE were witnessed [Abeles 83, Ibaraki 84, LeComber 85].<br />

Quantum well refers to a structure in which a low bandgap material is sandwiched<br />

between layers of higher bandgap which act as potential barriers. If the higher<br />

bandgap layer is suciently thick, it provi<strong>de</strong>s a high potential barrier and each well<br />

is electronically isolated without the overlap of electronic wavefunctions. Such alternated<br />

wells and barriers are collectively referred as multiple quantum wells. On<br />

the other hand, if the barrier thickness is suciently low, there is an overlap of<br />

wavefunctions and ecient charge transport is possible normal to the layers. These<br />

structures behave like direct bandgap material and are termed superlattices. In general,<br />

it was reported if the barrier thickness is 4 nm or below, miniband formation<br />

occurs leading to inter-well electronic coupling in a superlattice [Peterson 88].<br />

A <strong>de</strong>ep investigation on the QCE in <strong>Si</strong> and its applicability towards optoelectronic<br />

<strong>de</strong>vices began in the 1990s stimulated by the discovery of size <strong>de</strong>pen<strong>de</strong>nt<br />

16

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