One of the features that distinguish Monet from other analytic-band MC codes is that all phonon generation and absorption events are tallied. Hence, very detailed heat generation statistics can be gathered. The simulation can be run in a constant E-field to obtain velocity-field curves, electron mobilities or the basic phonon distributions at the given E-field -- or in 1- or 2-D with periodic boundary conditions on an E-field grid extracted from another device simulator like Medici. Monet does not solve the Poisson equation (this is also known as Monte Carlo in the "frozen field" approximation). The total amount of charge inside the device is given by the previous device simulator and only two device contacts can be included. This implies that electrons exiting the device through one contact are immediately injected at the other contact with thermally distributed energies and randomly oriented velocity components.
Another feature of Monet is its treatment of acoustic intravalley scattering. Scattering with LA and TA phonons is treated separately and the full phonon dispersion is used when calculating the acoustic intravalley scattering rates. The LA/TA scattering deformation potentials are derived from the most recent values of the shear and dilatation potentials available in the literature. Other analytic-band MC codes group LA and TA scattering together and assume a single phonon velocity, i.e. no phonon dispersion.
The following figures illustrate the silicon band diagrams:
The figure on the left (courtesy IBM) shows the full conduction band diagram. The middle figure (courtesy C. Jungemann) shows constant energy contours near the bottom of the conduction band (notice the ellipsoidal shape around the minima at 0.85). The third figure shows the ellipsoidal energy pockets "inhabited" by conduction band electrons in an analytic-band MC code like Monet, and the possible phonon scattering transitions.