Ohm's law for hot carriers: The role of carrier-carrier scattering at high fields

A large electric field version of Ohm's law is presented for non-polar semiconductors including a carrier-carrier scattering time τ^*. Both the drift momentum 〈k〉 and average carrier energy 〈E〉 decrease with τ^*, but only slightly. Nothing that for carrier-carrier scattering as fast as carrier-phonon scattering, the spherical part of the distribution function is well approximated by a Gaussian at all fields, we obtain an expression for 〈k〉 and 〈E〉 in good agreement with the exact numerical results over the entire range of electric fields.