Statistics of quantum transfer of noninteracting fermions in multiterminal junctions

Kambly, Dania; Иванов, Д. А.

doi:10.1103/physrevb.80.193306

Cited by 7 publications

(8 citation statements)

References 8 publications

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“…Employing Eqs. (14,17), we obtain onetime distributions which are independent of the detection time of the first electron. For the first passage time distribution, we find…”

Section: Waiting Time Distributionmentioning

confidence: 99%

Electron waiting times in coherent conductors are correlated

Dasenbrook

Hofer²,

Flindt³

2015

Phys. Rev. B

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We evaluate the joint distributions of electron waiting times in coherent conductors described by scattering theory. Successive electron waiting times in a single-channel conductor are found to be correlated due to the fermionic statistics encoded in the many-body state. Our formalism allows us also to investigate the waiting times between charge transfer events in different outgoing channels. As an application we consider a quantum point contact in a chiral setup with one or both input channels biased by either a static or a time-dependent periodic voltage described by Floquet theory. The theoretical framework developed here can be applied to a variety of scattering problems and can in a straightforward manner be extended to joint distributions of several electron waiting times.

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“…Employing Eqs. (14,17), we obtain onetime distributions which are independent of the detection time of the first electron. For the first passage time distribution, we find…”

Section: Waiting Time Distributionmentioning

confidence: 99%

Electron waiting times in coherent conductors are correlated

Dasenbrook

Hofer²,

Flindt³

2015

Phys. Rev. B

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“…In particular, we can assert that the statistics for states of the Slater determinant type always reduces to a generalized binomial form (which is valid for a single-lead conductor (two-contact wire), but not, generally speaking, for multilead conductors [147]). The invariance of the determinant can be used to simplify the full counting statistics.…”

Section: Invariance Of the Slater Determinant Under Linear Transformamentioning

confidence: 99%

Scattering matrix approach to the description of quantum electron transport

2011

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We consider the scattering matrix approach to quantum electron transport in meso-and nanoconductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and is often more efficient for coherent conductors (especially when proving general relations) and typically more transparent. We provide a description of both time-averaged quantities (for example, current±voltage characteristics) and current fluctuations in time Ð noise, as well as full counting statistics of

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“…[27][28][29][30][31][32][33][34][35][36][37][38][39] For a time-dependently driven system, an additional pumping noise emerges. 40 For different types of time-dependent driving, noise and the full counting statistics have been investigated theoretically, [41][42][43][44][45][46][47] and have been proposed as a measure of quantum effects. 17,[48][49][50][51][52] The theoretical investigation of finitefrequency correlation functions in quantum dots driven by a time-dependent gate contacted to a single lead [53][54][55] reveal information on the charge relaxation resistance.…”

Section: Introductionmentioning

confidence: 99%

Zero-frequency noise in adiabatically driven interacting quantum systems

2013

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We investigate current-current correlations of adiabatic charge pumping through interacting quantum dots weakly coupled to reservoirs. To calculate the zero-frequency noise for a time-dependently driven system, possibly in the presence of an additional dc bias, we perform within a real-time diagrammatic approach a perturbative expansion in the tunnel coupling to the reservoirs in leading and next-to-leading orders. We apply this formalism to study the adiabatic correction to the zero-frequency noise, i.e., the pumping noise, in the case of a single-level quantum dot charge pump. If no stationary bias is applied, the adiabatic correction shows Coulomb-interaction-induced deviations from the fluctuation-dissipation theorem. Furthermore, we show that the adiabatic correction to the Fano factor carries information about the coupling asymmetry and is independent of the choice of the pumping parameters. When including a time-dependent finite bias, we find that there can be pumping noise even if there is zero adiabatically pumped charge. The pumping noise also indicates the respective direction of the bias-induced current and the pumping current.

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Statistics of quantum transfer of noninteracting fermions in multiterminal junctions

Cited by 7 publications

References 8 publications

Electron waiting times in coherent conductors are correlated

Electron waiting times in coherent conductors are correlated

Scattering matrix approach to the description of quantum electron transport

Zero-frequency noise in adiabatically driven interacting quantum systems

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