Violation of detailed balance for charge‐transfer statistics in Coulomb‐blockade systems

Stegmann, Philipp; König, Jürgen

doi:10.1002/pssb.201600507

Cited by 12 publications

(15 citation statements)

References 44 publications

(53 reference statements)

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“…6. It should be mentioned, that a similar difference in the time-dependent factorial cumulants for incoming and outgoing electrons has been recently reported by Stegmann and König [71].…”

Section: B Resultssupporting

confidence: 82%

Nonrenewal statistics in transport through quantum dots

Ptaszyński

2017

Phys. Rev. B

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The distribution of waiting times between successive tunneling events is an already established method to characterize current fluctuations in mesoscopic systems. Here, I investigate mechanisms generating correlations between subsequent waiting times in two model systems, a pair of capacitively coupled quantum dots and a single-level dot attached to spin-polarized leads. Waiting time correlations are shown to give an insight into the internal dynamics of the system, for example they allow distinction between different mechanisms of the noise enhancement. Moreover, the presence of correlations breaks the validity of the renewal theory. This increases the number of independent cumulants of current fluctuation statistics, thus providing additional sources of information about the transport mechanism. I also propose a method for inferring the presence of waiting time correlations based on low-order current correlation functions. This method gives a way to extend the analysis of nonrenewal current fluctuations to the systems for which single-electron counting is not experimentally feasible. The experimental relevance of the findings is also discussed, for example reanalysis of previous results concerning transport in quantum dots is suggested.Comment: 16 pages, 13 figures. Accepted for publication in Phys. Rev.

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“…6. It should be mentioned, that a similar difference in the time-dependent factorial cumulants for incoming and outgoing electrons has been recently reported by Stegmann and König [71].…”

Section: B Resultssupporting

confidence: 82%

Nonrenewal statistics in transport through quantum dots

Ptaszyński

2017

Phys. Rev. B

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“…Broken detailed balance is of relevance e.g. for the investigation of the Jarzynski equality and fluctuation theorems [41,29,66,67,68,69], and can be detected in higher-order cummulants of the full counting statistics of Coulomb-blockade systems [70].…”

Section: Discussionmentioning

confidence: 99%

Transport Out of Locally Broken Detailed Balance

Sánchez

2018

Springer Proceedings in Mathematics &Amp; Statistics

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Electrons move along potential or thermal gradients. In the presence of a global gradient, applied e.g. to the two terminals of a conductor, this induces electric charge and heat currents. They can also flow between two equilibrated terminals (at the same voltage and temperature) if detailed balance is broken in some part of the system. A minimal model involving two metallic islands in series is introduced whose internal potential and temperatures can be externally modulated. The conditions for a finite electric flow are discussed.

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“…However, the inclusion of interactions is essential to analyze the transport dynamics through localized states, as is the case of molecular junctions or semiconducting quantum dots. For these cases, rate equations approaches, adequate for the sequential tunneling regime, have been extensively used [31,32]. The most interesting and general coherentinteracting regime constitutes a great theoretical challenge.…”

Section: Introductionmentioning

confidence: 99%

Transient dynamics in interacting nanojunctions within self-consistent perturbation theory

et al. 2018

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We present an analysis of the transient electronic and transport properties of a nanojunction in the presence of electron-electron and electron-phonon interactions. We introduce a novel numerical approach which allows for an efficient evaluation of the non-equilibrium Green functions in the time domain. Within this approach we implement different self-consistent diagrammatic approximations in order to analyze the system evolution after a sudden connection to the leads and its convergence to the steady state. These approximations are tested by comparison with available numerically exact results, showing good agreement even for the case of large interaction strength. In addition to its methodological advantages, this approach allows us to study several issues of broad current interest like the build up in time of Kondo correlations and the presence or absence of bistability associated with electron-phonon interactions. We find that, in general, correlation effects tend to remove the possible appearance of charge bistability.

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Violation of detailed balance for charge‐transfer statistics in Coulomb‐blockade systems

Cited by 12 publications

References 44 publications

Nonrenewal statistics in transport through quantum dots

Nonrenewal statistics in transport through quantum dots

Transport Out of Locally Broken Detailed Balance

Transient dynamics in interacting nanojunctions within self-consistent perturbation theory

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