Semiconductor
Index
A semiconductor is a material with a temperature dependent resistance that tends to infinite values as temperature tends to zero Kelvin and to low values at room temperature and above. Semiconductors may be elemental, such as silicon and germanium, or compounds such as gallium arsenide and tin oxide.

The electrical conductivity of semiconducting materials depends on the number and type of carriers, their charge and mobility. Conductivity takes place through the motion of electrons in the conduction band and holes in the valence band of the pure, "intrinsic," semiconductor. If impurities are added to the material, extrinsic electrons or holes may dominate the conductivity making the material n-type or p-type respectively. The diagram illustrates this, the energy of the electrons being plotted vertically and position in the material horizontally.

The probability of thermally exciting a carrier from a localized state to the free state is just the Boltzmann probability P = exp(-DE/kT). For (i) DE is about 1 eV, for (ii) and (iii) DE is about 0.1 eV.

From: Solymar and Walsh "Lectures on the Electrical Properties of Materials," Oxford (1998)