二维弹子球体系在弱磁场中的输运性质研究

J4 ›› 2011, Vol. 24 ›› Issue (1): 51-54.

二维弹子球体系在弱磁场中的输运性质研究

卞洪涛¹, 张延惠¹, 蒋国辉¹, 徐学友², 林圣路¹

1.山东师范大学物理与电子科学学院，山东济南 250014； 2.山东省科学院情报研究所，山东济南 250014

出版日期:2011-02-20 发布日期:2011-02-20
基金资助:
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）

Transport properties of two dimensional circular billiards in weak magnetic field

BIAN Hong-Tao¹, ZHANG Yan-Hui¹, JIANG Guo-Hui¹, XU Xue-You², LIN Sheng-Lu¹

1.College of Physics and Electronics, Shandong Normal University, Jinan 250014, China； 2. Information Research Institute, Shandong Academy of Sciences, Jinan 250014, China

Online:2011-02-20 Published:2011-02-20

摘要/Abstract

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。

关键词: 圆形弹子球, 量子传输, 磁场, 合流超几何函数

Abstract:

We investigate the transport properties of a open circular quantum billiard in weak magnetic field with a semiclassical theory. We also obtain the elements of transmission matrix with semiclassical approximation Green′s function and eigenfunctions. We further calculate classical trajectories of an electron, and compare the quantum spectral peak positions of transmission matrix elements with the length of electronic classical orbit．Results show that the peak positions are well consistent with the orbit length. This demonstrates that the heterojunction is a good theoretical model to describe the microstructure of electron conduction.

Key words: circular billiards, quantum transport, magnetic field, hypergeometric function

中图分类号:

O415.5

卞洪涛, 张延惠, 蒋国辉, 徐学友, 林圣路. 二维弹子球体系在弱磁场中的输运性质研究[J]. J4, 2011, 24(1): 51-54.

BIAN Hong-Tao, ZHANG Yan-Hui, JIANG Guo-Hui, XU Xue-You, LIN Sheng-Lu. Transport properties of two dimensional circular billiards in weak magnetic field[J]. J4, 2011, 24(1): 51-54.