量子电子学报 ›› 2022, Vol. 39 ›› Issue (3): 394-403.doi: 10.3969/j.issn.1007-5461.2022.03.010

• 量子物理 • 上一篇    下一篇

二维十字型四终端量子点阵列的量子输运

罗国忠   

  1. ( 忻州师范学院物理系, 山西忻州034000 )
  • 收稿日期:2020-09-23 修回日期:2020-11-17 出版日期:2022-05-28 发布日期:2022-05-28
  • 通讯作者: E-mail: luoguozhong2013@163.com E-mail:luoguozhong2013@163.com
  • 作者简介:罗国忠( 1977 - ), 山西忻州人, 硕士, 副教授, 主要从事介观系统量子输运和拓扑绝缘体量子输运等方面的研究。 E-mail: luoguozhong2013@163.com
  • 基金资助:
    Supported by the University Teaching Reform and Innovation Project of Shanxi Province in 2020 (2020 年度山西省高等学校教学改革 创新项目, J2020288)

Quantum transport through two-dimensional cross-shaped quantum dot array of four-terminal system

LUO Guozhong   

  1. ( Department of Physics, Xinzhou Teachers University, Xinzhou 034000, China )
  • Received:2020-09-23 Revised:2020-11-17 Published:2022-05-28 Online:2022-05-28

摘要: 介观体系的电子输运,为设计有纳米尺度的纳米结构的电子装置提供理论依据。基于紧束缚模型的二终端量子点点阵体系的透射系数的传输矩阵方法,提出了二维十字型四终端量子点点阵体系的模型,将其转化成二终端模型去探讨,研究了相对于中间原点处非对称和对称的十字型量子点点阵体系的电子输运。结果表明:具有空间反转对称的十字型量子点阵列的透射率的尖峰个数与量子点点阵上的量子点数相等,透射系数与入射电子能量、量子点宽度和量子点数有关,透射系数与跃迁积分无关。

关键词: 量子力学, 量子输运, 传输矩阵, 十字型, 四终端系统, 量子点阵列

Abstract: The electron transport in mesoscopic system provides a theoretical basis for the design of electronic devices with nanoscale nanostructures. Based on the transmission matrix method proposed in the previous research, the transmission coefficient of the cross-shaped four terminal quantum dot matrix system is calculated, and then the four terminal quantum dot array system model is transformed into a two terminal model to study the electronic transport of the asymmetric and symmetric cross quantum dot array system relative to the intermediate origin. The results show that the number of transmission peaks of the cross quantum dot array with space reversal symmetry is equal to the number of quantum dots on the quantum dot array, and the transmission coefficient depends on the incident electron energy, the quantum dot width and the quantum number, but not on the transition integral.

Key words: quantum mechanics, quantum transport, transfer matrix, cross type, four-terminal system; quantum dot array

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