一维双方势垒单势阱模型的共振隧穿条件研究  

Study on resonant tunneling conditions of a one-dimensional doublebarrier single well model

作　　者：曾嘉钟 曾孝奇 ZENG Jia-zhong;ZENG Xiao-qi(School of electric power engineering,South China University of Technology,Guangzhou,Guangdong 510641,China;School of Science,Southern University of Science and Technology,Shenzhen,Guangdong 518055,China)

机构地区：[1]华南理工大学电力学院,广东广州510641 [2]南方科技大学理学院,广东深圳518055

出　　处：《大学物理》2024年第3期5-10,共6页College Physics

摘　　要：对于双势垒或多势垒系统,当入射粒子能量符合共振能级时将产生共振隧穿,使穿透率为一极大值,这样一个重要的性质在很多量子或半经典器件中都有广阔的应用前景.本文主要研究一维双方势垒模型及具有高度对称性的ABABA型双方势垒系统.从薛定谔方程出发,通过推导获得了一般的一维双方势垒系统的透射率计算方法,为数值计算提供了参考公式,并证明了透射率解析解的存在.对于具有高度对称性的ABABA型双方势垒系统模型,本文推导了透射率的解析表达式,并且给出了共振遂穿条件的解析解,探讨了共振隧穿所需条件及影响因素.For double-barrier or multi-barrier systems,resonant tunneling will occur when the incident particle energy conforms to the resonant energy level,making the transmittance a maximum.This important property has broad application prospects in many quantum or semiclassical devices.In this paper,we mainly study one-dimensional double square barrier model and ABABA double square barrier system with high symmetry.Based on the Schrodinger equation,a general method for calculating the transmissivity of one-dimensional double-barrier system is derived,which provides a reference formula for numerical calculation,and proves the existence of analytical solution of transmissivity.For the ABABA double square barrier system model with high symmetry,the analytical expression of transmissivity is derived,the analytical solution of resonant tunneling condition is given,and the necessary conditions and influencing factors of resonant tunneling are discussed.

关 键 词：双方型势垒 共振隧穿 解析解. 

分 类 号：O4-1[理学—物理]