摘要
本文应用半经典轨道理论研究了开放圆量子台球体系在外加磁场中的输运性质。采用半经典近似格林函数由体系本征函数得到了传输矩阵元,根据几何角度之间的关系,计算出磁场下圆腔传输的电子经典轨道,并对传输矩阵元傅里叶变换谱峰位置与电子经典轨道长度进行了对比,结果发现谱峰位置跟轨道长度吻合的很好。说明在研究微结中电子传导时,二维异质结是适用的理论模型。
We magnetic field semi-classical trajectories of investigate the transport properties of a open circular quantum billiard in weak with a semi-classical theory. We also obtain the elements of transmission matrix with approximation Green＇s function and eigenfunctions. We further calculate classical an electron, and compare the quantum spectral peak positions of transmission matrix elements with the 1 consistent with the to describe the mic ength of electronic classical orbit. Results show that the peak positions are well orbit length. This demonstrates that the heterojunction is a good theoretical model rostructure of electron conduction.
出处
《山东科学》
CAS
2011年第1期51-54,共4页
Shandong Science
基金
国家自然科学基金(10374061
10774093)
山东省科学院博士基金项目(科基合字2010第1号)
关键词
圆形弹子球
量子传输
磁场
合流超几何函数
circular billiards
quantum transport
magnetic field
hypergeometric function
