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In quantum transport through nanoscale devices, fluctuations arise from various sources: the discreteness of charge carriers, the statistical non-equilibrium that is required for device operation, and unavoidable quantum uncertainty. As…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Samuel L. Rudge , Daniel S. Kosov

Waiting time distribution and the zero-frequency full counting statistics of unidirectional electron transport through a double quantum dot molecule attached to spin-polarized leads are analyzed using the quantum master equation. The…

Mesoscale and Nanoscale Physics · Physics 2017-07-10 Krzysztof Ptaszynski

Distributions of electron waiting times have been measured in several recent experiments and have been shown to provide complementary information compared to what can be learned from the electric current fluctuations. Existing theories,…

Mesoscale and Nanoscale Physics · Physics 2021-08-26 Philipp Stegmann , Björn Sothmann , Jürgen König , Christian Flindt

Quantum transport of electrons through a molecule is a series of individual electron tunnelling events separated by stochastic waiting time intervals. We study the emergence of temporal correlations between successive waiting times for the…

Mesoscale and Nanoscale Physics · Physics 2017-09-19 Daniel S. Kosov

The waiting time distribution has, in recent years, proven to be a useful statistical tool for characterising transport in nanoscale quantum transport. In particular, as opposed to moments of the distribution of transferred charge, which…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Samuel L. Rudge , Daniel S. Kosov

Electron transport in mesoscopic conductors has traditionally involved investigations of the mean current and the fluctuations of the current. A complementary view on charge transport is provided by the distribution of waiting times between…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 Mathias Albert , Géraldine Haack , Christian Flindt , Markus Büttiker

In the resonant tunneling regime sequential processes dominate single electron transport through quantum dots or molecules that are weakly coupled to macroscopic electrodes. In the Coulomb blockade regime, however, cotunneling processes…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Samuel L. Rudge , Daniel S. Kosov

Current fluctuations can provide additional insight into quantum transport in mesoscopic systems. The present work is carried out for the fluctuation properties of transport through a pair of coupled quantum dots which are connected with…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 JunYan Luo , Xin-Qi Li , YiJing Yan

We study the statistical properties of currents in two particular systems of capacitively coupled parallel transport channels. In the first system, each transport channel contains a single quantum dot in contact with two electron…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 Gregory Bulnes Cuetara

In analogy with quantum optics, short time correlations of the current fluctuations are used to characterize an on-demand electron source consisting of a quantum dot connected to a conductor via a tunable tunnel barrier. We observe a new…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 A. Mahé , F. D. Parmentier , E. Bocquillon , J. -M. Berroir , D. C. Glattli , T. Kontos , B. Plaçais , G. Fève , A. Cavanna , Y. Jin

Fluctuations in stochastic systems are usually characterized by the full counting statistics, which analyzes the distribution of the number of events taking place in the fixed time interval. In an alternative approach, the distribution of…

Statistical Mechanics · Physics 2018-01-24 Krzysztof Ptaszynski

We study the transport through a quantum dot subject to a randomly fluctuating potential, generated by a sequence of pulses in the gate voltage with the help of the autoregressive model. We find that the tunneling current is multistable…

Mesoscale and Nanoscale Physics · Physics 2014-03-04 Pei Wang , Gao Xianlong , Shaojun Xu

The basic quantum mechanical relation between fluctuations of transported charge and current correlators is discussed. It is found that, as a rule, the correlators are to be time-ordered in an unusual way. Instances where the difference…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Bachmann , G. M. Graf , G. B. Lesovik

We experimentally demonstrate the real-time detection and control of correlated charge tunneling in a dynamically driven quantum dot. Specifically, we measure the joint distribution of waiting times between tunneling charges and show that…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Johannes C. Bayer , Fredrik Brange , Adrian Schmidt , Timo Wagner , Eddy P. Rugeramigabo , Christian Flindt , Rolf J. Haug

Many molecular junctions display stochastic telegraphic switching between two distinct current values, which is therefore an important source of fluctuations in nanoscale quantum transport. We investigate electronic fluctuations arising via…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Samuel L. Rudge , Daniel S. Kosov

The counting statistics of electron transport is theoretically studied in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by tunneling to two reservoirs. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Gregory Bulnes Cuetara , Massimiliano Esposito , Pierre Gaspard

We have studied the Waiting Time Distributions (WTDs) for sub-gap transport through a single-level quantum dot tunnel coupled to one normal and one superconducting lead. The WTDs reveal the internal dynamics of the system in particular the…

Mesoscale and Nanoscale Physics · Physics 2013-08-23 Leila Rajabi , Christina Pöltl , Michele Governale

The waiting time distribution $w(\tau)$, i.e. the probability for a delay $\tau$ between two subsequent transition (`jumps') of particles, is a statistical tool in (quantum) transport. Using generalized Master equations for systems coupled…

Mesoscale and Nanoscale Physics · Physics 2025-12-31 Tobias Brandes

We theoretically study electronic transport through a layer of quantum dots connecting two metallic leads. By the inclusion of an inductor in series with the junction, we show that steady electronic transport in such a system may be…

Mesoscale and Nanoscale Physics · Physics 2015-03-14 Danko Radic , Anatoly M. Kadigrobov , Leonid Y. Gorelik , Robert I. Shekhter , Mats Jonson

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 David Dasenbrook , Patrick P. Hofer , Christian Flindt
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