A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors

Applied Mathematics Letters

Volumn 10, Issue 4, 1997, Pages 29-34

  Jungel A ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

Asymptotic analysis; Numerical solution; Quantum drift diffusion model; Quantum hydrodynamics

Indexed keywords

EID: 0002277763     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00055-4     Document Type: Article

References (10)

1. C.L. Gardner, The quantum hydrodynamic model for semiconductor devices, SIAM J. Appl. Math. 54, 409-427 (1994).
2. H. Grubin and J. Kreskovsky, Quantum moment balance equations and resonant tunneling structures, Solid-State Electr. 32, 1071-1075 (1989).
3. I. Gasser, P.A. Markowich, D. Schmidt and A. Unterreiter, Macroscopic theory of charged quantum fluids, In Proceedings of the Workshop on "Mathematical Problems in Semiconductor Physics", Rome, (1995).
4. P.A. Markowich and C. Ringhofer, A singularly perturbed boundary value problem modelling a semiconductor device, SIAM J. Appl. Math. 44, 231-256 (1984).
5. A. Jüngel, A steady-state quantum Euler-Poisson system for potential flows, (submitted).
6. M. Ancona and G. Iafrate, Quantum correction to the equation of state of an electron gas in a semiconductor, Physical Review B 39, 9536-9540 (1989).
7. N. Ben Abdallah and A. Unterreiter, On the stationary quantum drift-diffusion model, Technische Universität Berlin, (1995).
8. O. Vanbésien, Simulation et caractérisation électrique des diodes double barrière à effet tunnel résonnant, Ph.D. Thesis, Lille, France, (1991).
9. U. Ascher, J. Christiansen and R.D. Russel, Collocation software for boundary value ODEs, Trans. Math. Soft. 7, 209-222 (1981).
10. D. Schmidt, Der dispersive Grenzwert der quantenhydrodynamischen Gleichungen, Diplomarbeit, TU Berlin, Germany, (1995).