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Boltzmann approximation!

  1. Aug 5, 2010 #1
    Studying the semiconductor in equilibrium, i found a sentence which i don't understand.

    "At the very low temperature, freeze-out occurs; the Boltzmann approximation is no longer valid."

    I know that freeze-out occurs at the very low temperature, but why is it that the Boltzmann approximation is no longer valid?
     
  2. jcsd
  3. Aug 5, 2010 #2

    f95toli

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    Because the Boltzmann distribution comes from a classical theory. At low temperatures "quantum effects" start to become noticeble and you have to use the Fermi-Dirac distribution (for Fermions) or the Bose-Einstein distribution (for bosons).
     
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