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Journal of Applied Physics / Volume 81 / Issue 12

J. Appl. Phys. 81, 7845 (1997); http://dx.doi.org/10.1063/1.365394 (25 pages)

Single and multiband modeling of quantum electron transport through layered semiconductor devices

Roger Lake, Gerhard Klimeck, R. Chris Bowen, and Dejan Jovanovic

Corporate Research Laboratories, Texas Instruments Incorporated, Dallas, Texas 75243

(Received 13 November 1996; accepted 18 February 1997)

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. © 1997 American Institute of Physics.

© 1997 American Institute of Physics

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KEYWORDS and PACS

Keywords

semiconductor device models, Green's function methods, band structure, tunnelling, convergence of numerical methods, interface phonons

PACS

  • 85.30.De

    Semiconductor-device characterization, design, and modeling

  • 02.30.-f

    Function theory, analysis

  • 02.60.-x

    Numerical approximation and analysis

  • 68.35.Ja

    Surface and interface dynamics and vibrations

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.365394

PUBLICATION DATA

ISSN

0021-8979 (print)  
1089-7550 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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