A two-particle Monte Carlo method for warm electrons with application to covalent semiconductors

Abstract

A two-particle Monte Carlo method for solving non-homogeneous kinetic equations in the warm-electron case is developed. The method is based on the solution of the Green function equation describing the electron reaction to the instantaneous particle generation arising from the non-homogeneous term of the equation. When the simultaneous motion of two particles (positive and negative) is simulated, the particles annihilate. This enables the authors to perform repeated particle generations and to calculate the averaged electron reaction to the non-homogeneous term, i.e. to solve the non-homogeneous equation. To illustrate the efficiency of the proposed method the results obtained are compared with those obtained by other methods and also with experimental results for p-Ge.