TY - JOUR
T1 - An effective quantum potential for particle-particle interactions in three-dimensional semiconductor device simulations
AU - Heitzinger, Clemens
AU - Ringhofer, Christian
N1 - Funding Information:
Acknowledgements The first author acknowledges support by the Austrian Science Fund (Fonds zur Förderung der wissenschaftlichen Forschung, FWF) via an Erwin Schrödinger Fellowship. The second author acknowledges support through National Science Foundation grant DECS-0218008.
PY - 2007/12
Y1 - 2007/12
N2 - The classical Coulomb potential and force can be calculated efficiently using fast multi-pole methods. Effective quantum potentials, however, describe the physics of electron transport in semiconductors more precisely. Such an effective quantum potential was derived previously for the interaction of an electron with a barrier for use in particle-based Monte Carlo semiconductor device simulators. The method is based on a perturbation theory around thermodynamic equilibrium and leads to an effective potential scheme in which the size of the electron depends upon its energy and which is parameter-free. Here we extend the method to electron-electron interactions and show how the effective quantum potential can be evaluated efficiently in the context of many-body problems. Finally several examples illustrate how the momentum of the electrons changes the classical potential.
AB - The classical Coulomb potential and force can be calculated efficiently using fast multi-pole methods. Effective quantum potentials, however, describe the physics of electron transport in semiconductors more precisely. Such an effective quantum potential was derived previously for the interaction of an electron with a barrier for use in particle-based Monte Carlo semiconductor device simulators. The method is based on a perturbation theory around thermodynamic equilibrium and leads to an effective potential scheme in which the size of the electron depends upon its energy and which is parameter-free. Here we extend the method to electron-electron interactions and show how the effective quantum potential can be evaluated efficiently in the context of many-body problems. Finally several examples illustrate how the momentum of the electrons changes the classical potential.
UR - http://www.scopus.com/inward/record.url?scp=35248864339&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=35248864339&partnerID=8YFLogxK
U2 - 10.1007/s10825-007-0148-4
DO - 10.1007/s10825-007-0148-4
M3 - Article
AN - SCOPUS:35248864339
SN - 1569-8025
VL - 6
SP - 401
EP - 408
JO - Journal of Computational Electronics
JF - Journal of Computational Electronics
IS - 4
ER -