Numerical simulation of the smooth quantum hydrodynamic model for semiconductor devices

被引:5
作者
Gardner, CL [1 ]
Ringhofer, C [1 ]
机构
[1] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
关键词
quantum hydrodynamic model; semiconductor devices; numerical simulations; electron tunneling;
D O I
10.1016/S0045-7825(99)00180-2
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
An extension of the classical hydrodynamic model for semiconductor devices to include quantum transport effects is reviewed. This "smooth" quantum hydrodynamic (QHD) model is derived specifically to handle in a mathematically rigorous way the discontinuities in the classical potential energy which occur at heterojunction barriers in quantum semiconductor devices. A conservative upwind discretization of the one-dimensional (1D) steady-state smooth QHD equations is outlined. Smooth QHD model simulations of the resonant tunneling diode are presented which exhibit enhanced negative differential resistance when compared with simulations using the original O((h) over bar(2)) QHD model. (C) 2000 Elsevier Science S.A. AU rights reserved.
引用
收藏
页码:393 / 401
页数:9
相关论文
共 13 条
[1]   GLOBAL APPROXIMATE NEWTON METHODS [J].
BANK, RE ;
ROSE, DJ .
NUMERISCHE MATHEMATIK, 1981, 37 (02) :279-295
[2]   QUANTUM HYDRODYNAMIC SIMULATION OF HYSTERESIS IN THE RESONANT-TUNNELING DIODE [J].
CHEN, ZX ;
COCKBURN, B ;
GARDNER, CL ;
JEROME, JW .
JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 117 (02) :274-280
[3]  
FATEMI E, 1991, KLUWER INT SER ENG C, P27
[4]  
Feynman R. P., 1972, Statistical Mechanics: A Set of Lectures
[5]   RESONANT-TUNNELING IN THE QUANTUM HYDRODYNAMIC MODEL [J].
GARDNER, CL .
VLSI DESIGN, 1995, 3 (02) :201-210
[6]   THE QUANTUM HYDRODYNAMIC MODEL FOR SEMICONDUCTOR-DEVICES [J].
GARDNER, CL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1994, 54 (02) :409-427
[7]   Approximation of thermal equilibrium for quantum gases with discontinuous potentials and application to semiconductor devices [J].
Gardner, CL ;
Ringhofer, C .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 58 (03) :780-805
[8]   HYDRODYNAMIC AND MONTE-CARLO SIMULATION OF AN ELECTRON SHOCK-WAVE IN A 1-MU-M N+-N-N+ DIODE [J].
GARDNER, CL .
IEEE TRANSACTIONS ON ELECTRON DEVICES, 1993, 40 (02) :455-457
[9]  
GARDNER CL, 1993, HIGH PERFORMANCE COMPUTING SYMPOSIUM 1993, P96
[10]   QUANTUM MOMENT BALANCE-EQUATIONS AND RESONANT TUNNELING STRUCTURES [J].
GRUBIN, HL ;
KRESKOVSKY, JP .
SOLID-STATE ELECTRONICS, 1989, 32 (12) :1071-1075