• More partially filled states better conduction as the electrons have more places to be.
  • We can either add electrons (into more bands) or remove them (from existing, filled bands).

Doping

  • (Assuming that the main atom in our lattice is silicon).
  • The idea is to replace some of the silicon atoms in our lattice with atoms with atoms with a different number of electrons in their valence shell.
  • The dopants must be similar to silicon, since they must fit within the lattice structure.

Adding Electrons into the Conduction Band (Donor Impurities)

  • If we manage to add some electrons into the conduction band, then the band has way more free spaces than electrons,
  • So the electrons can be transported easily between spaces conduction.
  • If the dopant has more valence electrons than silicon then the extra electrons will be left with no space.
  • These electrons sit near the conduction band, ready to jump into the conduction band where they can move around freely.
  • This “sitting below the conduction band” brings the Fermi Level upward.
  • In this case, the primary charge carriers will be electrons, since they can move freely in the conduction bands. Hence, silicon doped with donors are called n-type semiconductors.
  • Eg: phosphorus (more electrons, weak enough to let go).

Remove Electrons from the Valence Band (Acceptor Impurities)

  • If we remove a few electrons from the valence band, then these are equivalent:
  • A full valence band minus a few electrons.
  • An empty valence band with a positive charge.
  • If the dopant has fewer valence electrons than silicon, then an empty space is freed up in the impure lattice.
  • This presence of empty spaces brings the Fermi Level lower.
  • This vacant space (hole) move around (in the sense that electrons move into it), hence this is a p-type semiconductor since it’s relatively positively charged (positive charge carrier).
  • Eg: boron (less electrons, strong enough to bind another).

Methods of doping