The Child-Langmuir law as a model for electron transport in semiconductors

被引:14
作者
BenAbdallah, N [1 ]
Degond, P [1 ]
Yamnahakki, A [1 ]
机构
[1] ECOLE POLYTECH FED LAUSANNE, DEPT MATH, PHB ECUBLENS, CH-1015 LAUSANNE, SWITZERLAND
关键词
D O I
10.1016/0038-1101(95)00149-2
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A model for space-charge limited electron transport in an N+-N-N+ device and a Schottky diode is proposed. It is based on the smallness of the lattice temperature with respect to the applied voltage. This model, derived from the stationary Boltzmann equation of semiconductors, has a much lower computational cost and leads to a good prediction for the I-V curve as well as for the built-in potential.
引用
收藏
页码:737 / 744
页数:8
相关论文
共 23 条
[1]   BALLISTIC STRUCTURE IN THE ELECTRON-DISTRIBUTION FUNCTION OF SMALL SEMICONDUCTING STRUCTURES - GENERAL FEATURES AND SPECIFIC TRENDS [J].
BARANGER, HU ;
WILKINS, JW .
PHYSICAL REVIEW B, 1987, 36 (03) :1487-1502
[2]  
BENABDALLAH N, 1995, SIAM J MATH ANAL, V26, P364, DOI 10.1137/S0036141093246567
[3]   THE CHILD-LANGMUIR REGIME FOR ELECTRON-TRANSPORT IN A PLASMA INCLUDING A BACKGROUND OF POSITIVE-IONS [J].
BENABDALLAH, N .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1994, 4 (03) :409-438
[4]   ON A MATHEMATICAL-MODEL FOR HOT-CARRIER INJECTION IN SEMICONDUCTORS [J].
BENABDALLAH, N ;
DEGOND, P ;
SCHMEISER, C .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1994, 17 (15) :1193-1212
[5]  
BENABDALLAH N, 1994, THESIS ECOLE POLYTEC
[6]  
BENABDALLAH N, IN PRESS SIAM J MATH
[7]   A DETERMINISTIC PARTICLE METHOD FOR THE KINETIC-MODEL OF SEMICONDUCTORS - THE HOMOGENEOUS FIELD MODEL [J].
DEGOND, P ;
MUSTIELES, FJ .
SOLID-STATE ELECTRONICS, 1991, 34 (12) :1335-1345
[8]  
Degond P., 1992, Asymptotic Analysis, V6, P1
[9]  
Degond P., 1991, Asymptotic Analysis, V4, P187
[10]  
DEGOND P, UNPUB