Wave-packet formalism of full counting statistics

被引：62

作者：

Hassler, F. ^{[1
]}

Suslov, M. V. ^{[2
]}

Graf, G. M. ^{[1
]}

Lebedev, M. V. ^{[2
]}

Lesovik, G. B. ^{[3
]}

Blatter, G. ^{[1
]}

机构：

[1] Swiss Fed Inst Technol, CH-8093 Zurich, Switzerland

[2] Russian Acad Sci, Inst Solid State Phys, Chernogolovka 142432, Moscow Region, Russia

[3] RAS, LD Landau Theoret Phys Inst, Moscow 117940, Russia

来源：

PHYSICAL REVIEW B | 2008年 / 78卷 / 16期

关键词：

D O I：

10.1103/PhysRevB.78.165330

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We make use of the first-quantized wave-packet formulation of the full counting statistics to describe charge transport of noninteracting electrons in a mesoscopic device. We derive various expressions for the characteristic function generating the full counting statistics, accounting for both energy and time dependence in the scattering process, and including exchange effects due to finite overlap of the incoming wave packets. We apply our results to describe the generic statistical properties of a two-fermion scattering event and find, among other features, sub-binomial statistics for nonentangled incoming states (Slater rank 1), while entangled states (Slater rank 2) may generate superbinomial (and even super-Poissonian) noise, a feature that can be used as a spin singlet-triplet detector. Another application is concerned with the constant-voltage case, where we generalize the original result of Levitov-Lesovik to account for energy-dependent scattering and finite measurement time, including short-time measurements, where Pauli blocking becomes important.

引用

页数：19

共 42 条

[1] Allowed charge transfers between coherent conductors driven by a time-dependent scatterer [J].