Nonequilibrium Kubo Formula of Finite Conductor Connected to Reservoirs based on Keldysh Formalism(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
Nonequilibrium Kubo Formula of Finite Conductor Connected to Reservoirs based on Keldysh Formalism(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
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DOI：
10.1143/jpsj.76.044709
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发表时间：
2007-04
影响因子：
1.7
通讯作者：
T. Fujii
中科院分区：
文献类型：
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作者：
T. Fujii
我们证明了用Keldysh形式得到的有限导体的密度矩阵是MacLennan-Zubarv形式的。基于密度矩阵是Zubarv提出的不变部分这一事实，证明了Keldysh形式可以描述系统的不可逆过程和稳态特征。密度矩阵的MacLennan-Zubarv形式的一个重要结果是Kubo公式在非平衡情况下的推广。在此基础上，我们提出了散粒噪声公式以及微分电导、噪声功率和散粒噪声之间的非平衡恒等式作为推广的奈奎斯特-约翰逊关系。
We show that the density matrix for a finite conductor attached to reservoirs obtained by Keldysh formalism is of MacLennan-Zubarev form. On the basis of the fact that the density matrix is the invariant part proposed by Zubarev, it is shown that Keldysh formalism may describe the irreversible processes and steady-state feature of the system. An important consequence of the MacLennan-Zubarev form of the density matrix is a generalization of the Kubo formula in a nonequilibrium case. On the basis of the result, we propose the formula of shot noise and a nonequilibrium identity between differential conductance, noise power and shot noise as a generalized Nyquist-Johnson relation.