RESONANT-TUNNELING IN THE QUANTUM HYDRODYNAMIC MODEL

被引:22
作者
GARDNER, CL [1 ]
机构
[1] DUKE UNIV,DEPT MATH,DURHAM,NC 27708
关键词
QUANTUM HYDRODYNAMIC MODEL; RESONANT TUNNELING DIODE;
D O I
10.1155/1995/54301
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The phenomenon of resonant tunneling is simulated and analyzed in the quantum hydrodynamic (QHD) model for semiconductor devices. Simulations of a parabolic well resonant tunneling diode at 77 K are presented which show multiple regions of negative differential resistance (NDR) in the current-voltage curve. These are the first simulations of the QHD equations to show multiple regions of NDR. Resonant tunneling (and NDR) depend on the quantum interference of electron wavefunctions and therefore on the phases of the wavefunctions. An analysis of the QHD equations using a moment expansion of the Wigner-Boltzmann equation indicates how phase information is retained in the hydrodynamic equations.
引用
收藏
页码:201 / 210
页数:10
相关论文
共 12 条
  • [1] Gardner C.L., The quantum hydrodynamic model for semiconductor devices, SIAM Journal on Applied Mathematics, 54, pp. 409-427, (1994)
  • [2] Ancona M.G., Iafrate G.J., Quantum correction to the equation of state of an electron gas in a semiconductor, Physical Review, B 39, pp. 9536-9540, (1989)
  • [3] Steinrueck H., Odeh F., The Wigner function for thermal equilibrium, ZAMP, 42, pp. 470-487, (1991)
  • [4] Wigner E., On the quantum correction for thermodynamic equilibrium, Physical Review, 40, pp. 749-759, (1932)
  • [5] Ancona M.G., Tiersten H.F., Macroscopic physics of the silicon inversion layer, Physical Review, B 35, pp. 7959-7965, (1987)
  • [6] Grubin H.L., Kreskovsky J.P., Quantum moment balance equations and resonant tunnelling structures, Solid-State Electronics, 32, pp. 1071-1075, (1989)
  • [7] Capasso F., Sen S., Beltram F., Quantum-effect devices, High-Speed Semiconductor Devices, pp. 465-520, (1990)
  • [8] Iafrate G.J., Grubin H.L., Ferry D.K., Utilization of quantum distribution functions for ultra-submicron device transport, Journal de Physique, Colloque C7, 42, pp. 307-312, (1981)
  • [9] Huang K., Statistical Mechanics, (1963)
  • [10] Sonego S., Interpretation of the hydrodynamical formalism of quantum mechanics, Foundations of Physics, 21, pp. 1135-1181, (1991)