2026-05-25T00:45:04Zhttps://keep.lib.asu.edu/oai/requestoai:keep.lib.asu.edu:node-1561382024-12-20T18:25:12Zoai_pmh:alloai_pmh:repo_items156138
https://hdl.handle.net/2286/R.I.48482
http://rightsstatements.org/vocab/InC/1.0/
All Rights Reserved
2018
122 pages
Doctoral Dissertation
Academic theses
Text
eng
Sabatti, Flavio Francesco Maria
Saraniti, Marco
Smith, David J.
Wang, Robert
Goodnick, Stephen M
Arizona State University
Doctoral Dissertation Electrical Engineering 2018
A novel Monte Carlo rejection technique for solving the phonon and electron<br/><br/>Boltzmann Transport Equation (BTE), including full many-particle interactions, is<br/><br/>presented in this work. This technique has been developed to explicitly model<br/><br/>population-dependent scattering within the full-band Cellular Monte Carlo (CMC)<br/><br/>framework to simulate electro-thermal transport in semiconductors, while ensuring<br/><br/>the conservation of energy and momentum for each scattering event. The scattering<br/><br/>algorithm directly solves the many-body problem accounting for the instantaneous<br/><br/>distribution of the phonons. The general approach presented is capable of simulating<br/><br/>any non-equilibrium phase-space distribution of phonons using the full phonon dispersion<br/><br/>without the need of the approximations commonly used in previous Monte Carlo<br/><br/>simulations. In particular, anharmonic interactions require no assumptions regarding<br/><br/>the dominant modes responsible for anharmonic decay, while Normal and Umklapp<br/><br/>scattering are treated on the same footing.<br/><br/>This work discusses details of the algorithmic implementation of the three particle<br/><br/>scattering for the treatment of the anharmonic interactions between phonons, as well<br/><br/>as treating isotope and impurity scattering within the same framework. The approach<br/><br/>is then extended with a technique based on the multivariable Hawkes point process<br/><br/>that has been developed to model the emission and the absorption process of phonons<br/><br/>by electrons.<br/><br/>The simulation code was validated by comparison with both analytical, numerical,<br/><br/>and experimental results; in particular, simulation results show close agreement with<br/><br/>a wide range of experimental data such as the thermal conductivity as function of the<br/><br/>isotopic composition, the temperature and the thin-film thickness.
Electrical Engineering
Anharmonic
Electron
Monte Carlo
Phonons
Simulation
Thermal
Cellular Monte Carlo Simulation of Coupled Electron and Phonon Dynamics