三节点一维相互作用链的非平衡
自旋传输特性及其解析公式

doi:10.3969/j.issn.1007-5461.2022.03.009

量子电子学报 ›› 2022, Vol. 39 ›› Issue (3): 373-393.doi: 10.3969/j.issn.1007-5461.2022.03.009

三节点一维相互作用链的非平衡自旋传输特性及其解析公式

郑仰东1,2∗, 高华3

( 1 三菱电机(中国) 有限公司研究开发部, 上海200336; 2 京都大学低温和物质科学研究中心, 日本京都606-8501; 3 华东师范大学, 上海200241 )

收稿日期:2020-12-22 修回日期:2021-12-22 出版日期:2022-05-28 发布日期:2022-05-28
通讯作者: E-mail: zhengyd09@163.com E-mail:zhengyd09@163.com
作者简介:郑仰东( 1966 - ), 山东人, 博士, 研究员, 主要从事量子物理、纳米技术等方面的研究。E-mail: zhengyd09@163.com
基金资助:
Supported by the Grants-in-Aid for the Basic Research and Development of Mitsubishi Electric Corporation and Mitsubishi Electric (China) Company Limited (三菱电机株式会社及三菱电机(中国) 有限公司研究开发基金, MEC-01)

Nonequilibrium spin transport properties of three site one-dimensional chain system with electronic interactions and their analytic formulas

ZHENG Yangdong1,2∗, GAO Hua3

( 1 Research and Development Department, Mitsubishi Electric (China) Company Limited, Shanghai 200336, China; 2 Research Center for Low Temperature and Materials Sciences, Kyoto University, Kyoto 606-8501, Japan; 3 East China Normal University, Shanghai 200241, China )

Received:2020-12-22 Revised:2021-12-22 Published:2022-05-28 Online:2022-05-28

摘要/Abstract

摘要： 为理解和处理介观系统中电子自旋传输的基础理论问题, 对典型的三节点一维相互作用链模型的非平衡自旋传输特性进行了理论分析以及解析公式的推导。首先严密推导出半填充假设下模型的基态并计算了各节点的初始电荷。然后基于Keldysh 非平衡格林函数理论, 阐述了其基本理论方法并推导了考虑电子间库仑相互作用及Hartree-Fock 近似条件下模型的非平衡自旋传输特性(非平衡微分自旋电导、自旋传输电流和自旋电荷分布) 的主要解析公式。最后在典型参数条件下使用这些初始电荷和解析公式对相关模型的非平衡自旋传输特性进行了自洽计算, 并给出相应的物理解释, 验证了公式的正确性和有效性。

关键词: 量子理论, 一维相互作用链系统, 非平衡自旋传输, Keldysh 理论, Hartree-Fock 近似

Abstract: In order to understand and deal with the basic theoretical problems of the electron spin transport in mesoscopic systems, nonequilibrium spin transport properties of typical three site onedimensional (1D) quantum chain system with electronic interactions are analyzed and the corresponding analytic formulas are deduced. Firstly, the initial charge on each site of the chain is calculated from the exactly derived ground state under the half-filling assumption. Then, based on Keldysh formalism, the basic theoretical methods are described in detail, and the main analytic formulas of the nonequilibrium spin transport properties (differential spin conductance, spin transport current and electronic charge distribution, etc.) of the 1D chain systems are derived considering Hartree-Fock approximation and Coulomb electronic interaction. Both the cases, namely, the scattering process considering the Coulomb repulsion force between the spin-up and spin-down electrons and the scattering process considering the spin-spin interaction due to spin degree of freedom, are considered. Finally, under the conditions of typical parameters, the initial charges and calculating formulas are used to calculate the nonequilibrium spin transport properties of the chain system self-consistently, and the corresponding physical interpretations of the numerical calculation data are provided, which verifies the correctness and validity of the formulas.

Key words: quantum theory, one-dimensional interacting chain system, nonequilibrium spin transport; Keldysh formalism, Hartree-Fock approximation

中图分类号:

O413

郑仰东, ∗, 高华. 三节点一维相互作用链的非平衡自旋传输特性及其解析公式[J]. 量子电子学报, 2022, 39(3): 373-393.

ZHENG Yangdong, ∗, GAO Hua. Nonequilibrium spin transport properties of three site one-dimensional chain system with electronic interactions and their analytic formulas[J]. Chinese Journal of Quantum Electronics, 2022, 39(3): 373-393.

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三节点一维相互作用链的非平衡自旋传输特性及其解析公式

Nonequilibrium spin transport properties of three site one-dimensional chain system with electronic interactions and their analytic formulas

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三节点一维相互作用链的非平衡 自旋传输特性及其解析公式

Nonequilibrium spin transport properties of three site one-dimensional chain system with electronic interactions and their analytic formulas

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三节点一维相互作用链的非平衡自旋传输特性及其解析公式