Single-particle distribution function of a quantum dot system at finite temperature

In the present paper, we shall rigorously re-establish the result of the single-particle function of a quantum dot system at finite temperature. Unlike the proof given in our previous work （Phys. Rev. B 74 195414 （2006））, we take a different approach, which does not exploit the explicit expression o...

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Bibliographic Details
Published in:Chinese physics B 2012-03, Vol.21 (3), p.416-422, Article 037401
Main Authors: Wen, Rui, Zhang, De-Ping, Tian, Guang-Shan
Format: Article
Language:English
Subjects:
Distribution functions
Electronic structure
Mathematical analysis
Proving
Qunatum dots
Stability
Statistical distributions
Thermodynamics
单粒子
显式表达
有限温度
热力学稳定性
电子结构
系统
统计分布函数
量子点
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Summary:In the present paper, we shall rigorously re-establish the result of the single-particle function of a quantum dot system at finite temperature. Unlike the proof given in our previous work （Phys. Rev. B 74 195414 （2006））, we take a different approach, which does not exploit the explicit expression of the Gibbs distribution function. Instead, we only assume that the statistical distribution function of the quantum dot system is thermodynamically stable. As a result, we are able to show clearly that the electronic structure in the quantum dot system is completely determined by its thermodynamic stability. Furthermore, the weaker requirements on the statistical distribution function also make it possible to apply the same method to the quantum dot systems in non-equilibrium states.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/3/037401