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We conjecture that the current fluctuations in one-dimensional driven transport systems obey an upper bound determined by the mean current and the driving force. This inequality originates from repulsive interactions between transporting…

Statistical Mechanics · Physics 2025-10-13 Jiayin Gu , Fan Zhang

Current fluctuations are a powerful tool to unravel the underlying physics of the observed transport process. This work discusses some general properties of the third and the fourth current cumulant (skewness and kurtosis) related to…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 Krzysztof Ptaszynski

We study single-electron transport through a double quantum dot (DQD) monitored by a capacitively coupled quantum point-contact (QPC) electrometer. We derive the full counting statistics for the coupled DQD - QPC system and obtain the joint…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 D. S. Golubev , Y. Utsumi , M. Marthaler , Gerd Schoen

The form of electron counting statistics of the tunneling current noise in a generic many-body interacting electron system is obtained. The third correlator of current fluctuations (the skewness of the charge counting distribution) has a…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , M. Reznikov

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

Fluctuations in the acoustoelectric current, induced by a surface acoustic wave propagating along a ballistic quantum channel, are considered. We focus on the large wave-amplitude case, in which it has been experimentally found that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. M. Galperin , O. Entin-Wohlman , Y. Levinson

We investigate the current-voltage (IV) characteristics of a model single-electron transistor where mechanical motion, subject to strong dissipation, of a small metallic grain is possible. The system is studied both by using Monte Carlo…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. Nord , L. Y. Gorelik , R. I. Shekhter , M. Jonson

A conditional diffusion model has been developed to analyze intricate conductance fluctuations called universal conductance fluctuations or quantum fingerprints appearing in quantum transport phenomena. The model reconstructs impurity…

Mesoscale and Nanoscale Physics · Physics 2025-06-11 Naoto Yokoi , Yuki Tanaka , Yukito Nonaka , Shunsuke Daimon , Junji Haruyama , Eiji Saitoh

We introduce and review briefly the phenomenon of quantum annealing and analog computation. The role of quantum fluctuation (tunneling) in random systems with rugged (free) energy landscapes having macroscopic barriers are discussed to…

Statistical Mechanics · Physics 2023-10-16 Bikas K Chakrabarti , Sudip Mukherjee

An accurate description of electron transport at a molecular level requires a precise treatment of quantum effects. These effects play a crucial role in determining the electron transport properties of single molecules, such as…

Quantum Physics · Physics 2020-12-18 Soran Jahangiri , Juan Miguel Arrazola , Alain Delgado

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. A. Bagrets , Y. Utsumi , D. S. Golubev , G. Schoen

A quantum measurement involves energy exchanges between the system to be measured and the measuring apparatus. Some of them involve energy losses, for example because energy is dissipated into the environment or is spent in recording the…

Quantum Physics · Physics 2025-04-10 Guillermo Perna , Esteban Calzetta

We study the current of particles that move independently in a common static random environment on the one-dimensional integer lattice. A two-level fluctuation picture appears. On the central limit scale the quenched mean of the current…

Probability · Mathematics 2016-08-14 Jonathon Peterson , Timo Seppäläinen

We present a theory of frequency-dependent counting statistics of electron transport through nanostructures within the framework of Markovian quantum master equations. Our method allows the calculation of finite-frequency current cumulants…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. Marcos , C. Emary , T. Brandes , R. Aguado

Coupling tailored electromagnetic fluctuations to materials provides a resource for controlling correlated quantum matter. By structuring the frequency, spatial, and modal distribution of fluctuations through a new generation of cavity…

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

A single-electron tunneling (SET) device with a nanoscale central island that can move with respect to the bulk source- and drain electrodes allows for a nanoelectromechanical (NEM) coupling between the electrical current through the device…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 R. I. Shekhter , L. Y. Gorelik , I. V. Krive , M. N. Kiselev , S. I. Kulinich , A. V. Parafilo , K. Kikoin , M. Jonson

Employing a real time effective action formalism we analyze electron transport and current fluctuations in comparatively short coherent conductors in the presence of electron-electron interactions. We demonstrate that, while Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dmitri S. Golubev , Artem V. Galaktionov , Andrei D. Zaikin

The description of electron current through a splitting is a mathematical problem of electron transport in quantum networks. For quantum networks constructed on the interface of narrow-gap semiconductors the relevant scattering problem for…

Mathematical Physics · Physics 2007-05-23 M. Harmer , A. Mikhailova , B. S. Pavlov
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