Inhester L, Schönhammer K
Institut für Theoretische Physik, Universität Göttingen, Friedrich-Hund-Platz 1, D-37077 Göttingen, Germany.
J Phys Condens Matter. 2009 Nov 25;21(47):474209. doi: 10.1088/0953-8984/21/47/474209. Epub 2009 Nov 5.
The joint probability distribution in the full counting statistics (FCS) for noninteracting electrons is discussed for an arbitrary number of initially separate subsystems which are connected at t = 0 and separated again at a later time. A simple method to obtain the leading-order long-time contribution to the logarithm of the characteristic function is presented which simplifies earlier approaches. New explicit results for the determinant involving the scattering matrices are found. The joint probability distribution for the charges in two leads is discussed for Y junctions and dots connected to four leads.
针对任意数量最初相互分离的子系统，讨论了非相互作用电子的全计数统计（FCS）中的联合概率分布。这些子系统在t = 0时连接在一起，随后又再次分开。提出了一种简单方法来获得对特征函数对数的主导阶长时间贡献，该方法简化了早期的方法。得到了涉及散射矩阵的行列式的新的显式结果。讨论了Y型结和连接到四个引线的量子点中两个引线中电荷的联合概率分布。
