Abstract
Non-equilibrium Green function theory is formulated to meet the three main challenges of high bias quantum device modeling: self-consistent charging, incoherent and inelastic scattering, and band structure. The theory is written in a general localized orbital basis using the example of the zinc blende lattice. A Dyson equation treatment of the open system boundaries results in a tunneling formula with a generalized Fisher-Lee form for the transmission coefficient that treats injection from emitter continuum states and emitter quasi-bound states on an equal footing. Scattering is then included. Self-energies which include the effects of polar optical phonons, acoustic phonons, alloy fluctuations, interface roughness, and ionized dopants are derived. Interface roughness is modeled as a layer of alloy in which the cations of a given type cluster into islands. Two different treatments of scattering; self-consistent Born and multiple sequential scattering are formulated, described, and analyzed for numerical tractability. The relationship between the self-consistent Born and multiple sequential scattering algorithms is described, and the convergence properties of the multiple sequential scattering algorithm are numerically demonstrated by comparing with self-consistent Born calculations.
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Dates
Type | When |
---|---|
Created | 23 years, 1 month ago (July 26, 2002, 8:26 a.m.) |
Deposited | 1 year, 7 months ago (Feb. 2, 2024, 3:05 p.m.) |
Indexed | 1 day, 15 hours ago (Sept. 3, 2025, 6:35 a.m.) |
Issued | 28 years, 2 months ago (June 15, 1997) |
Published | 28 years, 2 months ago (June 15, 1997) |
Published Print | 28 years, 2 months ago (June 15, 1997) |
@article{Lake_1997, title={Single and multiband modeling of quantum electron transport through layered semiconductor devices}, volume={81}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.365394}, DOI={10.1063/1.365394}, number={12}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Lake, Roger and Klimeck, Gerhard and Bowen, R. Chris and Jovanovic, Dejan}, year={1997}, month=jun, pages={7845–7869} }