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We develop a theory of far from the equilibrium transport in arrays of tunnel junctions. We find that if the rate of the electron-electron interactions exceeds the rate of the electron-phonon energy exchange, the energy relaxation ensuring…

Mesoscale and Nanoscale Physics · Physics 2009-12-10 N. M. Chtchelkatchev , V. M. Vinokur , T. I. Baturina

We present a general theory for the full counting statistics of multiple Andreev reflections in incoherent superconducting-normal-superconducting contacts. The theory, based on a stochastic path integral approach, is applied to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Pilgram , P. Samuelsson

We derive the full distribution of transmitted particles through a superconducting point contact of arbitrary transparency under voltage bias. The charge transport is dominated by multiple Andreev reflections. The counting statistics is a…

Superconductivity · Physics 2009-11-10 J. C. Cuevas , W. Belzig

This paper presents an overview of the statistical properties arising from the broadness of the distribution of tunnel currents in metal-insulator-metal tunnel junctions. Experimental current inhomogeneities can be modelled by a lognormal…

Materials Science · Physics 2009-11-07 V. Da Costa , M. Romeo , F. Bardou

We study Cooper pair transport through a quantum point contact between a superconductor and a quantum Hall edge state at integer and fractional filling factors. We calculate the tunnelling current and its finite-frequency noise to the…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 Andreas B. Michelsen , Thomas L. Schmidt , Edvin G. Idrisov

We consider transport in a three terminal device attached to one superconducting and two normal metal terminals, using the circuit theory of mesoscopic superconductivity. We compute the nonlocal conductance of the current out of the first…

Superconductivity · Physics 2007-05-23 Jan Petter Morten , Arne Brataas , Wolfgang Belzig

We consider current shot noise and the full counting statistics in a chain of quantum dots which exhibits a continuous non-equilibrium phase transition as a function of the tunnel couplings of the chain with the electrodes. Using a…

Mesoscale and Nanoscale Physics · Physics 2010-01-22 Torsten Karzig , Felix von Oppen

We present a theory of full counting statistics for electron transport through interacting electron systems with non-Markovian dynamics. We illustrate our approach for transport through a single-level quantum dot and a metallic…

Strongly Correlated Electrons · Physics 2007-05-23 Alessandro Braggio , Jürgen König , Rosario Fazio

We have analyzed the tunneling transmission probability and electronic current density through resonant heterostructures in the presence of an external electromagnetic field. In this work, we compare two different models for a double…

Condensed Matter · Physics 2009-10-28 R. Aguado , J. Inarrea , G. Platero

We report the measurement of the current noise of a tunnel junction driven out-of-equilibrium by a temperature and/or voltage difference, i.e. the charge noise of heat and/or electrical current. This is achieved by a careful control of…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 Samuel Larocque , Edouard Pinsolle , Christian Lupien , Bertrand Reulet

We consider the counting statistics of electron transport through a double quantum dot with special emphasis on the dephasing induced by a nearby charge detector. The double dot is embedded in a dissipative enviroment, and the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-01-08 Alessandro Braggio , Christian Flindt , Tomas Novotny

We propose a model that describes current-in-plane tunneling transport in double barrier magnetic tunnel junctions in diffusive regime. Our study shows that specific features appear in double junctions that are described by introducing two…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Pierre-Yves Clément , Clarisse Ducruet , Claire Baraduc , Mair Chshiev , Bernard Diény

We study the behavior of shot noise in resonant tunneling junctions far from equilibrium. Quantum-coherent elastic charge transport can be characterized by a transmission function, that is the probability for an incoming electron at a given…

Mesoscale and Nanoscale Physics · Physics 2019-02-19 Anqi Mu , Dvira Segal

A theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within…

Condensed Matter · Physics 2008-04-12 L. S. Levitov , H. -W. Lee , G. B. Lesovik

We derive self-consistent expressions of current and noise for single-electron transistors driven by time-dependent perturbations. We take into account effects of the electrical environment, higher-order co-tunneling, and time-dependent…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jung Hyun Oh , D. Ahn , S. W. Hwang

We develop a very general perturbative theory of time-dependent transport in a weak tunneling junction which is independent of experimental details and on many-body correlated states in the coupled conductors. These can be similar or…

Mesoscale and Nanoscale Physics · Physics 2014-01-24 Ines Safi

Frequency dependent current noise in ferromagnetic double junctions with Coulomb blockade is studied theoretically in the limit of sequential tunneling. Two different relaxation processes are found in the correlations between spin polarized…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. R. Bulka , J. Martinek , G. Michalek , J. Barnas

We have applied the Numerical Renormalization Group method to study a mesoscopic system consisting of two samples of metal separated by an insulating barrier, with nanometer dimensions, which allows the tunnelling of a single electron from…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. O. Frota

We have studied charge transport in a one-dimensional chain of small Josephson junctions using a single-electron transistor. We observe a crossover from time-correlated tunneling of single electrons to that of Cooper pairs as a function of…

Superconductivity · Physics 2007-11-07 J. Bylander , T. Duty , G. Johansson , P. Delsing

Statistics of electron tunneling in normal tunnel junctions is studied analytically and numerically taking into account circuit (environment) effects. Full counting statistics, as well as full statistics of voltage and phase have been found…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. J. Hakonen , A. Paila , E. B. Sonin