Improved Monte Carlo algorithm of phonon transport in semiconductor nanodevices

In this work, we present the main features of an algorithm of phonon transport based on the particle Monte Carlo solution of the Boltzmann Transport Equation. In particular, we have developed an injection technique which consists in replacing a costly reservoir of phonons at thermodynamic equilibrium by an equivalent interface injecting in the device the appropriate phonon distribution. Additionally, we have derived a formulation of phonon-phonon scattering rates which includes realistic phonon dispersion of the material giving accurate frequency-dependence. An algorithm is proposed to improve the treatment of phonon interaction.