WIAS Preprint No. 923, (2004)

A 1D coupled Schrödinger drift-diffusion model including collisions


  • Baro, Michael
  • Ben Abdallah, Naoufel
  • Degond, Pierre
  • El Ayyadi, Asma

2010 Mathematics Subject Classification

  • 65Z05 82D37 78A35 82C70 34L40 34L30 34L25


  • quantum-classical coupling, Schroedinger equation, scattering states, Pauli master equation, drift-diffusion, interface conditions




We consider a one-dimensional coupled stationary Schroedinger drift-diffusion model for quantum semiconductor device simulations. The device domain is decomposed into a part with large quantum effects (quantum zone) and a part where quantum effects are negligible (classical zone). We give boundary conditions at the classic-quantum interface which are current preserving. Collisions within the quantum zone are introduced via a Pauli master equation. To illustrate the validity we apply the model to three resonant tunneling diodes.

Appeared in

  • Journal of Computational Physics, 2005, Vol. 203, no. 1, pp. 129-153

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