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Waiting time is an important transport quantity that is complementary to average current and its fluctuation. So far all the studies of waiting time distribution (WTD) are limited to steady state transport (either dc or ac). In this work,…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Gao-Min Tang , Fuming Xu , Jian Wang

We theoretically consider charge transport through two quantum dots coupled in series. The corresponding full counting statistics for noninteracting electrons is investigated in the limits of sequential and coherent tunneling by means of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. Kiesslich , P. Samuelsson , A. Wacker , E. Schoell

A quantum wire of uniform cross section (but with eventual disorder) with three regions: dot, left lead, and right lead, is considered. Assuming that the same unitary transformation diagonalizes all unit cells of this wire, we propose a new…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mohammad Mardaani , Keivan Esfarjani

We review several ways of defining the statistics of charge that is transmitted through an electric circuit, the so-called "counting statistics". We first pursue two approaches that explain the origin of "negative probabilities" that have…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Kindermann , Yuli V. Nazarov

We study the statistics of charge transport in a chaotic cavity attached to external reservoirs by two openings of different size which transmit non-equal number of quantum channels. An exact formula for the cumulant generating function has…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. M. Bulashenko

Electronic transport through chaotic quantum dots exhibits universal, system independent, properties, consistent with random matrix theory. The quantum transport can also be rooted, via the semiclassical approximation, in sums over the…

Chaotic Dynamics · Physics 2013-03-06 Gregory Berkolaiko , Jack Kuipers

Recent experimental progress has made it possible to detect in real-time single electrons tunneling through Coulomb blockade nanostructures, thereby allowing for precise measurements of the statistical distribution of the number of…

Mesoscale and Nanoscale Physics · Physics 2010-10-07 Christian Flindt , Tomas Novotny , Alessandro Braggio , Antti-Pekka Jauho

The nonlinear conductance of semiconductor heterostructures and single molecule devices exhibiting Kondo physics has recently attracted attention. We address the observed sample dependence of the measured steady state transport coefficients…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 Enrique Muñoz , C. J. Bolech , Stefan Kirchner

We develop a scheme for the computation of the full-counting statistics of transport described by Markovian master equations with an arbitrary time dependence. It is based on a hierarchy of generalized density operators, where the trace of…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 Mónica Benito , Michael Niklas , Sigmund Kohler

We study transport properties of discrete quantum dynamical systems on the lattice, in particular Coined Quantum Walks and the Chalker--Coddington model. We prove existence of a non trivial charge transport and that the absolutely…

Mathematical Physics · Physics 2019-06-20 Joachim Asch , Olivier Bourget , Alain Joye

The article develops a powerful theoretical tool to obtain the full counting statistics. By a slight extension of the standard Keldysh method we can access immediately all correlation functions of the current operator. Embedded in a quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Belzig

A fundamental question in quantum transport is how quantum coherence influences charge transfer through nanostructures. We address this issue for linear triple quantum dots by comparison of a Lindblad density matrix description with a Pauli…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 L. D. Contreras-Pulido , M. Bruderer

Full counting statistics concerns the stochastic transport of electrons in mesoscopic structures. Recently it has been shown that the charge transport statistics for non-interacting electrons in a two-terminal system is always generalized…

Mesoscale and Nanoscale Physics · Physics 2011-03-04 Dania Kambly , Christian Flindt , Markus Büttiker

An interplay between charge discreteness, coherent scattering and Coulomb interaction yields nontrivial effects in quantum transport. We derive a real time effective action and an equivalent quantum Langevin equation for an arbitrary…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Dmitrii S. Golubev , Andrei D. Zaikin

Time-dependent driving influences the quantum and thermodynamic fluctuations of a system, changing the familiar physical picture of electronic noise which is an important source of information the about microscopic mechanism of quantum…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Thomas D. Honeychurch , Daniel S. Kosov

We study transport properties of a quantum dot coupled to a Majorana zero mode and two normal leads. We investigate the full counting statistics of charge tunneling events which allows one to extract complete information about current…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Dong E. Liu , Alex Levchenko , Roman M. Lutchyn

In this work, we study the short time dynamics of a molecular junction described by Anderson-Holstein model using full-counting statistics after projective measurement. The coupling between the central quantum dot (QD) and two leads was…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 Gaomin Tang , Yanxia Xing , Jian Wang

Stochastic systems feature, in general, both coherent dynamics and incoherent transitions between different states. We propose a method to identify the coherent part in the full counting statistics for the transitions. The proposal is…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Philipp Stegmann , Jürgen König , Stephan Weiss

We study full counting statistics of coherent electron transport through multi-terminal interacting quantum-dots under a finite magnetic field. Microscopic reversibility leads to the symmetry of the cumulant generating function, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Keiji Saito , Yasuhiro Utsumi

The time-dependent transport through a nano-scale device, consisting of a single spin-degenerate orbital with on-site Coulomb interaction, coupled to two leads, is investigated. Various gate and bias voltage time-dependences are considered.…

Mesoscale and Nanoscale Physics · Physics 2014-06-30 V. Vovchenko , D. Anchishkin , J. Azema , P. Lombardo , R. Hayn , A. -M. Daré
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