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Building on the many existing algorithms for calculating the DC transport properties of quantum tight-binding models, we develop a systematic approach that expresses finite frequency observables in terms of the stationary Green's function…

Mesoscale and Nanoscale Physics · Physics 2013-02-15 Oleksii Shevtsov , Xavier Waintal

A short introduction to the theory of matrix quasiclassical Green's functions is given and possible applications of this theory to transport properties of mesoscopic superconducting-normal metal (S/N) structures are considered. We discuss a…

Superconductivity · Physics 2009-10-30 A. F. Volkov , V. V. Pavlovskii

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

We calculate the full transport counting statistics in a three-terminal tunnel device with one superconducting source and two normal-metal or ferromagnet drains. We obtain the transport probability distribution from direct Andreev…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 Jan Petter Morten , Daniel Huertas-Hernando , Wolfgang Belzig , Arne Brataas

The electron transport properties of a four-terminal molecular device are computed within the framework of density functional theory and non-equilibrium Keldysh theory. The additional two terminals lead to new properties, including a…

Mesoscale and Nanoscale Physics · Physics 2009-09-01 Kamal K. Saha , Wenchang Lu , J. Bernholc , Vincent Meunier

We formulate and apply a low-energy transport theory for hybrid quantum devices containing junctions of topological superconductor (TS) wires and conventional normal (N) or superconducting (S) leads. We model TS wires as spinless $p$-wave…

Superconductivity · Physics 2016-07-04 A. Zazunov , R. Egger , A. Levy Yeyati

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

Electron transport through a double quantum dot system is studied with taking into account electron-phonon interaction. The Keldysh nonequilibrium Green function formalism is used to compute the current and transmission coefficient of the…

Mesoscale and Nanoscale Physics · Physics 2012-04-11 M. Bagheri Tagani , H. Rahimpour Soleimani

We present a novel ab initio non-equilibrium approach to calculate the current across a molecular junction. The method rests on a wave function based description of the central region of the junction combined with a tight binding…

Materials Science · Physics 2009-11-11 Martin Albrecht , Bo Song , Alexander Schnurpfeil

We study the charge transfer in a small grain oscillating between two leads. Coulomb blockade restricts the charge fluctuations in such a way that only zero or one additional electrons can sit on the grain. The system thus acts as a charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. Pistolesi

We treat the spin injection and extraction via a ferromagnetic metal/semiconductor Schottky barrier as a quantum scattering problem. This enables the theory to explain a number of phenomena involving spin-dependent current through the…

Materials Science · Physics 2008-02-20 L. Cywinski , H. Dery , P. Dalal , L. J. Sham

We calculate current-current correlation functions and find an expression for the zero-frequency noise of multiterminal systems driven by harmonically time-dependent voltages within the Keldysh non-equilibrium Green's functions formalism.…

Mesoscale and Nanoscale Physics · Physics 2012-08-02 Alvaro Caso , Liliana Arrachea , Gustavo S. Lozano

A many-body theory of molecular junction transport based on nonequilibrium Green's functions is developed, which treats coherent quantum effects and Coulomb interactions on an equal footing. The central quantity of the many-body theory is…

Mesoscale and Nanoscale Physics · Physics 2009-07-07 J. P. Bergfield , C. A. Stafford

This is a comprehensive review of the random-matrix approach to the theory of phase-coherent conduction in mesocopic systems. The theory is applied to a variety of physical phenomena in quantum dots and disordered wires, including universal…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 C. W. J. Beenakker

Exact analytical formulas are derived, by means of Keldysh Green functions, for currents and current correlation functions in a Cooper pair splitter modelled on a double quantum dot system coherently coupled to a superconductor and two…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Bogdan R. Bułka

The Keldysh-ordered full counting statistics is a quasi-probability distribution describing the fluctuations of a time-integrated quantum observable. While it is well known that this distribution can fail to be positive, the interpretation…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 Patrick P. Hofer , Aashish A. Clerk

We study fluctuations of electric current in a quantum resistor and derive a general quantum-mechanical formula for the distribution of transmitted charge. For that we introduce a scheme of current measurement that involves a spin $1/2$…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , G. B. Lesovik

Full counting statistics is a powerful tool to characterize the noise and correlations in transport through mesoscopic systems. In this work, we propose the theory of conditional spin counting statistics, i.e., the statistical fluctuations…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 JunYan Luo , Jing Hu , XiaoLi Lang , Yu Shen , Xiao-Ling He , HuJun Jiao

Current noise provides useful information on correlations important for transport properties of mesoscopic systems. Of particular interest, both experimentally and theoretically, are heterostructures of normal metals and superconductors. We…

Superconductivity · Physics 2017-08-23 W. Belzig , J. Boerlin , C. Bruder , Yu. V. Nazarov

We report a theory for analyzing nonlinear DC transport properties of mesoscopic or nanoscopic normal-superconducting (N-S) systems. Special attention was paid such that our theory satisfies gauge invariance. At the linear transport regime…

Condensed Matter · Physics 2009-10-31 Jian Wang , Yadong Wei , Hong Guo , Qing-feng Sun , Tsung-han Lin