28.02.2014 Views

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

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

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

2.3 Low-Dimensional Semiconductor (Nanostrtuctures)<br />

(2D) system known as quantum well (QW), where the electrons are conned in<br />

one-dimension and the degree <strong>of</strong> freedom for this system in this case is two.<br />

λ B = h p =<br />

h<br />

m ∗ v<br />

(2.1)<br />

It is well known from quantum mechanics that for an electron <strong>of</strong> momentum p<br />

can be described by a wave function with a wavelength given by the de Broglie<br />

wavelength (λ B ). However, m ∗ is the electron eective mass. From solid state<br />

physics, we know that inside a <strong>semiconductor</strong>, electrons behave dynamically as<br />

if their mass was m ∗ , instead <strong>of</strong> the mass m 0 <strong>of</strong> the electron in vacuum. This<br />

observation is very important because for many interesting <strong>semiconductor</strong>s, like<br />

GaAs, m ∗ is much smaller than m 0 , for example m ∗ GaAs is equal to 0.067<br />

m 0 . Therefore, that the smaller the value <strong>of</strong> m ∗ , the easier will be to observe<br />

the size quantum eects in nanostructures. This is the case <strong>of</strong> <strong>semiconductor</strong>s<br />

in comparison with most metals, for which the conduction electrons behave as<br />

quasi-free [18].<br />

The connement <strong>of</strong> electrons and holes (charge carriers) in these nanostructures<br />

modies the electronic as well as the optical and vibrational properties <strong>of</strong> the<br />

material. Semiconductor QWs, where narrow-bandgap <strong>semiconductor</strong> material is<br />

sandwitched between dierent wide bandgap materials by means <strong>of</strong> hetrojunctions<br />

causes the electron connement in two-dimensions. This two-dimensional<br />

connement results in new optical properties that are dierent from bulk material<br />

(3D) structure. However, in <strong>semiconductor</strong>s (λ B ) usually ranges between 10 and<br />

100 nm and therefore we have to deal with solids <strong>of</strong> size in the nanometer range<br />

in order to observe quantum eects in nanostructures <strong>of</strong> a given size [19]. Therefore,<br />

low-dimensional materials are classied according to the number <strong>of</strong> spatial<br />

dimensions <strong>of</strong> nanometric size or the degree <strong>of</strong> electronic connement. Table 2.1<br />

summarizes the dierent types <strong>of</strong> nanostructures and the degree <strong>of</strong> connement<br />

<strong>of</strong> each structure. If only one <strong>of</strong> the three-dimensions is small enough, then the<br />

structure is called a quantum well (2D). In the case <strong>of</strong> quantum wires (1D), two<br />

<strong>of</strong> the dimensions are in the nanometer range, and nally in the case that the<br />

three dimensions <strong>of</strong> the structure are comparable to (λ B ) the structure is called<br />

a quantum dot (0D).<br />

13

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!