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Most systems, when pushed out of equilibrium, respond by building up currents of locally-conserved observables. Understanding how microscopic dynamics determines the averages and fluctuations of these currents is one of the main open…

Statistical Mechanics · Physics 2010-09-08 Pablo I. Hurtado , Pedro L. Garrido

There is growing interest in using multi-terminal Josephson junctions (MTJJs) as a platform to artificially emulate topological phases and to investigate complex superconducting mechanisms such as quartet and multiplet Cooper pairings.…

Tensor networks are employed to characterize the current fluctuations in one-dimensional diffusion-reaction systems. The representative system under study is a semiconducting material where holes and electrons constitute two types of charge…

Statistical Mechanics · Physics 2025-12-16 Jiayin Gu

We present an investigation of the energy dependence of the full charge counting statistics in diffusive normal-insulating-normal-insulating-superconducting junctions. It is found that the current in general is transported via a correlated…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Samuelsson

We calculate analytically the current statistics for a short diffusive wire between the normal reservoir and a short superconductor-normal metal-superconductor (SNS) junction, at arbitrary applied voltages and temperatures. The…

Superconductivity · Physics 2009-11-10 E. V. Bezuglyi , E. N. Bratus' , V. S. Shumeiko , V. Vinokur

We study theoretically the full counting statistics of electron transport through side-coupled double quantum dot (QD) based on an efficient particle-number-resolved master equation. It is demonstrated that the high-order cumulants of…

Mesoscale and Nanoscale Physics · Physics 2013-10-02 Hai-Bin Xue

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

Bijunctions are three-terminal Josephson junctions where three superconductors are connected by a single weak link made of a metallic region or of quantum dots. Biasing two of the superconductors with commensurate voltages yields Andreev…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 R. Mélin , D. Feinberg , H. Courtois , C. Padurariu , A. Pfeffer , J. E. Duvauchelle , F. Lefloch , T. Jonckheere , J. Rech , T. Martin , B. Douçot

We develop a quasiclassical theory of Andreev interferometers with three superconducting electrodes. Provided tunneling interface resistance between one superconducting electrode and the normal metal strongly exceeds two others, significant…

Superconductivity · Physics 2015-06-04 A. V. Galaktionov , A. D. Zaikin , L. S Kuzmin

It is shown analytically and by numerical simulation that the angular distribution of Andreev reflection by a disordered normal-metal -- superconductor junction has a narrow peak at the angle of incidence. The peak is higher than the…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker , J. A. Melsen , P. W. Brouwer

We present a consistent theory of superconductive tunneling in single-mode junctions within a scattering formulation of Bogoliubov-de Gennes quantum mechanics. Both dc Josephson effect and dc quasiparticle transport in voltage biased…

Superconductivity · Physics 2009-10-28 V. S. Shumeiko , E. N. Bratus' , G. Wendin

The energy-dependent Andreev reflection eigenvalues determine the transport properties of normal-superconducting systems. We evaluate the eigenvalue density to get an insight into formation of resonant electron-hole transport channels. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. Samuelsson , W. Belzig , Yu. V. Nazarov

We have studied the current voltage characteristics of diffusive mesoscopic Nb-Cu-Nb Josephson junctions with highly-transparent Nb-Cu interfaces. We consider the low-voltage and high-temperature regime eV<\epsilon_{c}<k_{B}T where…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Dubos , H. Courtois , O. Buisson , B. Pannetier

In the present study, we investigate the full counting statistics in a two-terminal Aharonov-Bohm interferometer embedded with an interacting quantum dot. We introduce a novel saddle-point solution for a cumulant-generating function, which…

Mesoscale and Nanoscale Physics · Physics 2010-03-31 Yasuhiro Utsumi , Keiji Saito

Recent experiments on conduction between a semiconductor and a superconductor have revealed a variety of new mesoscopic phenomena. Here is a review of the present status of this rapidly developing field. A scattering theory is described…

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

We analyze the nonlinear transport properties of a bilayer exciton condensate that is contacted by four metallic leads by calculating the full counting statistics of electron transport for arbitrary system parameters. Despite its formal…

Mesoscale and Nanoscale Physics · Physics 2012-05-01 H. Soller , F. Dolcini , A. Komnik

Nonlocal currents, in devices where two normal metal terminals are contacted to a superconductor, are determined using the circuit theory of mesoscopic superconductivity. We calculate the conductance associated with crossed Andreev…

Mesoscale and Nanoscale Physics · Physics 2007-09-26 Jan Petter Morten , Arne Brataas , Wolfgang Belzig

We consider a hybrid system consisting of two normal metal leads weakly connected to a superconductor. Current-current correlations of the normal leads are studied in the tunneling limit at subgap voltages and temperatures. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Bignon , M. Houzet , F. Pistolesi , F. W. J. Hekking

We discuss how threshold detectors can be used for a direct measurement of the full counting statistics (FCS) of current fluctuations and how to implement Jose phson junctions in this respect. We propose a scheme to characterize the full co…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Tobiska , Yu. V. Nazarov

A Josephson junction, formed between two phase-biased superconductors and a normal metal, hosts a discrete spectrum of Andreev bound states (ABS). In this paper, we develop a theory for long ballistic Andreev interferometers in…

Mesoscale and Nanoscale Physics · Physics 2025-01-15 Régis Mélin , Asmaul Smitha Rashid , Morteza Kayyalha
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