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We adopt a stochastic approach to study the charge transport in transistors. In this approach, the hole and electron densities are ruled by diffusion-reaction stochastic partial differential equations satisfying local detailed balance…

Statistical Mechanics · Physics 2025-06-17 Jiayin Gu

We analytically calculate the cumulant generating function of energy and particle transport in an open 1D Kitaev chain by utilizing the Keldysh technique. The joint distribution of particle and energy currents obeys different fluctuation…

Statistical Mechanics · Physics 2022-07-26 Fan Zhang , Jiayin Gu , H. T. Quan

Using the Schwinger-Keldysh approach and the drone (Majorana) fermion representation, we evaluate current distribution in a single-electron transistor in a regime where a total tunnel resistance is small. Nonequilibrium quantum fluctuations…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Yasuhiro Utsumi

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 present a solution to the problem of AC current partition in a multi-probe mesoscopic conductor within the nonequilibrium Green's function formalism. This allows the derivation of dynamic conductance which is appropriate for…

Condensed Matter · Physics 2009-10-31 Baigeng Wang , Jian Wang , Hong Guo

We propose an extension of the Landauer-Buttiker scattering theory to include effects of interaction in the active region of a mesoscopic conductor structure. The current expression obtained coincides with those derived by different…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Nam Do , P. Dollfus , V. L. Nguyen

We demonstrate the validity of the current fluctuation theorem for a double quantum dot surrounded by four terminals within the Born-, Markov- and secular approximations beyond the Coulomb-blockade regime. The electronic tunneling to two…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 Thilo Krause , Gernot Schaller , Tobias Brandes

We establish a comprehensive theoretical framework for systems subjected to a static uniform temperature gradient, employing the non-equilibrium Keldysh-Dyson formalism. This framework interprets the statistical force due to the temperature…

Mesoscale and Nanoscale Physics · Physics 2024-02-01 Luqman Saleem , Udo Schwingenschlogl , Aurelien Manchon

When a mesoscopic conductor is coupled to a high-quality electromagnetic cavity the flow of charges and the flux of photons leaking out of the cavity can both depend strongly on the coupled quantum dynamics of the system. Using a…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 Björn Kubala , Joachim Ankerhold , A. D. Armour

We apply the Keldysh formalism in order to derive a current formula easy to use for a system with many sites, one of which is interacting. The main technical challenge is to deal with the lesser Green function. It turns out that, in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. V. Dinu , M. Tolea , A. Aldea

We present a theory for the full distribution of current fluctuations in incoherent diffusive superconducting junctions, subjected to a voltage bias. This theory of full counting statistics of incoherent multiple Andreev reflections is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Samuelsson

In a transparent three-terminal Josephson junction, modeling nonequilibrium transport is numerically challenging, owing to the interplay between multiple Andreev reflection (MAR) thresholds and multipair resonances in the pair current. An…

Mesoscale and Nanoscale Physics · Physics 2016-08-06 Régis Mélin , Denis Feinberg , Benoît Douçot

A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or…

Statistical Mechanics · Physics 2015-06-25 David Andrieux , Pierre Gaspard

Scattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors that are driven by oscillating electric or magnetic…

Statistical Mechanics · Physics 2020-06-01 Kay Brandner

We study current fluctuations in a phase coherent Y-shaped conductor connected to external leads and voltage probes. The voltage probes are taken to have finite impedances and thus can cause voltage fluctuations in the circuit. Applying the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shin-Tza Wu , S. -K. Yip

Continuously measured quantum systems are characterized by an output current, in the form of a stochastic and correlated time series which conveys crucial information about the underlying quantum system. The many tools used to describe…

Quantum Physics · Physics 2025-12-19 Gabriel T. Landi , Michael J. Kewming , Mark T. Mitchison , Patrick P. Potts

We study the statistics of charge transport in a mesoscopic three-terminal device with one superconducting terminal and two normal-metal terminals. We calculate the full distribution of transmitted charges into the two symmetrically biased…

Superconductivity · Physics 2009-11-07 J. Boerlin , W. Belzig , C. Bruder

We introduce a method to evaluate the steady-state non-equilibrium Keldysh-Schwinger Green's functions for infinite systems subject to both an electric field and a coupling to reservoirs. The method we present exploits a physical…

Strongly Correlated Electrons · Physics 2020-08-26 Christian Klöckner , Dante Marvin Kennes , Christoph Karrasch

Electron transport in a self-consistent potential along a ballistic two-terminal conductor has been investigated. We have derived general formulas which describe the nonlinear current-voltage characteristics, differential conductance, and…

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

A theory is presented for low-frequency current and voltage correlators of a mesoscopic conductor embedded in a macroscopic electromagnetic environment. This Keldysh field theory evaluated at its saddle-point provides the microscopic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kindermann , Yu. V. Nazarov , C. W. J. Beenakker