基于MATLAB的PN结形成过程蒙特卡罗程序研发  

Monte Carlo Program of PN Junction Formation Process Based on MATLAB

作　　者：龚丽 赵宇 王春龙 徐攀峰[1] 刘雯 李一杰[1] 梁友君 许媛媛 朱江[2] 康晓民 康晓珅 GONG Li;ZHAO Yu;WANG Chun-long;XU Pan-feng;LIU Wen;LI Yi-jie;LIANG You-jun;XU Yuan-yuan;ZHU Jiang;KANG Xiao-min;KANG Xiao-shen(College of Physics,Liaoning University,Shenyang 110036,China;College of Physics,Nankai University,Tianjin 300071,China;College of Mechanical Engineering,University of South China,Hengyang 421001,China)

机构地区：[1]辽宁大学物理学院,辽宁沈阳110036 [2]南开大学物理科学学院,天津300071 [3]南华大学机械工程学院,湖南衡阳421001

出　　处：《辽宁大学学报（自然科学版）》2024年第2期179-183,共5页Journal of Liaoning University：Natural Sciences Edition

基　　金：国家自然科学基金项目(12105132);辽宁大学本科教学改革项目(JG2020KCSZ066,G2018ZC72,JG2020YBXM054,JG2020YBXM057,JG2018ZC72);教育部产学合作协同育人项目(230703494261841)。

摘　　要：本文基于蒙特卡罗随机行走的思想,用概率和随机抽样模拟PN结形成过程中载流子的运动以及动态分布,解决平衡态PN结电势所满足的泊松方程过于复杂、难以计算以及模拟的问题.利用MATLAB软件将演化过程中的载流子的运动过程可视化,并且将平衡态PN结的电势分布可视化.该方法可通过模拟载流子的运动规律及分布了解PN结的形成过程,进而及时对物理模型进行修正.该程序实现手段简便,物理图像清晰,可以用于半导体物理等相关课程的课堂教学.Based on the idea of Monte Carlo random walk,this research uses probability and random sampling to simulate the motion and dynamic distribution of carriers during the formation of PN junction.This paper also solves the problem that the Poisson equation satisfied by the equilibrium PN junction potential is too complicated to calculate and simulate.The MATLAB software is used to visualize the movement process of carriers in the evolution process and the potential distribution of equilibrium PN junction.The calculation process of this method is intuitive,and the macroscopic properties of the material can be obtained by simulating the motion law and distribution of the carriers,and then the physical model can be modified in time.The program is simple to implement and the physical image is clear.It can be used in classroom teaching of semiconductor physics and other related courses.

关 键 词：蒙特卡罗方法 PN结 随机抽样 半导体器件模拟 

分 类 号：O4-1[理学—物理]