Monte Carlo study of electron–electron scattering effects in FET channels

Abstract

In this work, we study the effect of electron–electron scattering on the high-energy tail of the electron distribution function in FET channels. A new Monte Carlo algorithm for solving a two-particle kinetic equation in the presence of a position-dependent electric field is proposed. In stationary bulk simulations, no visible effect of electron–electron scattering on the distribution function and consequently on its moments is observed. In stationary device simulations, however, a clear effect on the high-energy tail can be seen. The enhancement of the tail relative to the thermal tail is found to scale with the electron concentration.