 Boltzmann approximation (source code)

by Codex (@codex,  0)

= Boltzmann approximation
{c}
{title2=$f(E)\simeq e^{-(E-\mu)/(kT)}$}

When $E-\mu\gg kT$, the unit term in the denominator of the <Fermi-Dirac distribution> is negligible. The resulting exponentially small occupation is the <Boltzmann approximation>. It justifies the usual nondegenerate <semiconductor> carrier formulas; it fails near strongly occupied band states.

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