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

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Hetero<strong>epitaxial</strong> Growth <strong>of</strong> <strong>III</strong>-V Semiconductor on Silicon Substrates<br />

a lower additional energy barrier (E s ) to come down the edge to a lower terrace.<br />

From the mentioned kinetic parameters the diusion coecient is probably the<br />

most important parameters. It determines the average distance an atom can<br />

travel on at surface before being trapped. This distance is the surface diusion<br />

length (l D ) and can be dened by Eq. 3.6 [35].<br />

l D = √ D s τ (3.6)<br />

Where τ is the residence time before re-evaporation. The surface diusion coef-<br />

cient is generally expressed as:<br />

D s = νa 2 exp ( −E A<br />

K B T ) (3.7)<br />

Where E A is the activation energy for diusion, ν is the attempt frequency<br />

and a is the characteristic jump distance. From Eq. 3.7 it is clear that deposition<br />

temperature is important because it controls the diusivity <strong>of</strong> the adaoms<br />

[35]. Therefore, the <strong>growth</strong> modes in real systems far from equilibrium will be<br />

controlled mostly by these kinetic factors and partially by the thermodynamics<br />

factors.<br />

Experimentally, the distinction between three classical <strong>growth</strong> modes is well<br />

known and classied to three <strong>growth</strong> regimes: Frank-van der Merwe (FM) (layers<br />

<strong>growth</strong> mode), Volmer-Weber (VW) (islands <strong>growth</strong> mode) and Stranski-<br />

Krastonov (SK) (mixed <strong>growth</strong> mode layers and islands) as illustrated in Fig. 3.2.<br />

In addition to the three well-known <strong>epitaxial</strong> <strong>growth</strong> modes mentioned above<br />

there is a fourth one, which is the step-ow <strong>growth</strong> mode as already mentioned<br />

in section (Sec. 3.2.1). The study <strong>of</strong> lm <strong>growth</strong> typically involves the deposition<br />

<strong>of</strong> a controlled amount <strong>of</strong> atoms onto a well characterized crystalline substrate at<br />

a prescribed set <strong>of</strong> <strong>growth</strong> conditions.<br />

In the case <strong>of</strong> Frank-van der Merwe (FM) (layer by layer <strong>growth</strong> mode): Layer<br />

<strong>growth</strong> is observed when the binding energy between the lm and substrate is<br />

stronger than the binding force between the lm particles. However, in this case<br />

a uniform monolayer <strong>of</strong> material is deposited in 2D forming a planar sheets as<br />

long as the the binding energy is decreased toward the bulk crystal value, the<br />

layer <strong>growth</strong> is sustained [36]. However, during FM <strong>growth</strong> mode a new layer is<br />

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