Full counting statistics for noninteracting fermions:: Exact results and the Levitov-Lesovik formula

被引：95

作者：

Schoenhammer, K. ^{[1
]}

机构：

[1] Univ Gottingen, Inst Theoret Phys, D-37077 Gottingen, Germany

来源：

PHYSICAL REVIEW B | 2007年 / 75卷 / 20期

关键词：

D O I：

10.1103/PhysRevB.75.205329

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Exact numerical results for the full counting statistics (FCS) for a one-dimensional tight-binding model of noninteracting electrons are presented without using an idealized measuring device. The two initially separate subsystems are connected at t=0 and the exact time evolution for the large but finite combined system is obtained numerically via a finite dimensional determinant. Even for surprisingly short times the approximate description of the time evolution with the help of scattering states agrees well with the exact result for the local current matrix elements and the FCS. An additional approximation has to be made to recover the Levitov-Lesovik formula in the limit where the system size becomes infinite and afterwards the long time limit is addressed. The derivation of the Levitov-Lesovik formula is generalized to more general geometries such as a Y junction enclosing a magnetic flux.

引用

页数：12

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