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

作     者：文瑞 张德平 田光善 

作者机构：School of PhysicsPeking University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2012年第21卷第3期

页      面：416-422页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0702[理学-物理学] 

基　　金：Project supported by the National Science Foundation of China (Grant Nos. 10874003 and 11074004) the National Basic Research Program of China (Grant No. 2009CB939901) 

主　　题：quantum dot systems electron distribution function rigorous results 

摘      要：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.