Many-particle Hamiltonian for open systems with full Coulomb interaction: Application to classical and quantum time-dependent simulations of nanoscale electron devices

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 7, 2009, Pages

  Albareda, G ^a   Sune J ^a   Oriols, X ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 61949229654     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.075315     Document Type: Article

References (56)

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53. Strictly speaking, our many-electron method applied to semiclassical devices cannot be considered as a direct solution of the Boltzmann equation because the latter is developed within a classical mean-field approximation. The term W̄ k (r k, t) in the Hamiltonian of expression 21 means that each particle "sees" its own electrostatic potential (or electric field), which is different from that of others. Apart from the scattering rates, this is the fundamental difference between our many-electron method applied to classical transport and the standard Monte Carlo method for electron devices.
54. We assume that the electron velocity is equal to zero in the lateral directions where there is energy confinement. This is a reasonable assumption that can be formally justified for Ref. when the probability presence in that direction does not change with time. The main approximation here is assuming that the time dependence of the wave function involves only one quantized energy in the mentioned direction. We define the geometries of the DG-FET and RTD to support these approximations.
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