Fully analytical equation of motion approach for the double quantum dot in the Coulomb blockade regime,Physical Review B

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Fully analytical equation of motion approach for the double quantum dot in the Coulomb blockade regime
Physical Review B ( IF 3.2 ) Pub Date : 2024-09-11 , DOI: 10.1103/physrevb.110.115121
Nahual Sobrino ₁ , David Jacob _{1,

2} , Stefan Kurth _{1,

2,

3}

Affiliation

A fully analytical approach based on the equation of motion technique to investigate the spectral properties and orbital occupations in an interacting double quantum dot in equilibrium is presented. By solving a linear system for the density correlators analytically, an explicit expression for the one-body Green's function in terms of local occupations, intra- and interdot Coulomb interactions, and the model parameters is derived. In the uncontacted limit, the results coincide with those obtained from the grand canonical ensemble. The analytical results compare favorably with numerical results obtained with the noncrossing approximation and the hierarchical equation of motion methods accurately reproducing peak positions and spectral weight distributions in the Coulomb blockade regime.

中文翻译：

库仑封锁状态下双量子点的完全解析运动方程方法

提出了一种基于运动方程技术的完全分析方法，用于研究平衡状态下相互作用的双量子点的光谱特性和轨道占据。通过分析求解密度相关器的线性系统，导出了单体格林函数在局部占据、点内和点间库仑相互作用以及模型参数方面的显式表达式。在非接触极限下，结果与从大正则系综中获得的结果一致。分析结果与使用非交叉近似和分层运动方程方法获得的数值结果相当，准确地再现了库仑封锁区域中的峰位置和谱权重分布。

更新日期：2024-09-11

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