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We study analytically the full counting statistics of charge transport through single molecules, strongly coupled to a weakly damped vibrational mode. The specifics of transport in this regime - a hierarchical sequence of avalanches of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jens Koch , M. E. Raikh , Felix von Oppen

We study the dc conductance and current fluctuations in diffusive voltage biased SNS junctions with a tunnel barrier inside the mesoscopic normal region. We find that at subgap voltages, eV<2Delta/n, the current associated with the chain of…

Superconductivity · Physics 2014-12-03 E. V. Bezuglyi , E. N. Bratus' , V. S. Shumeiko , G. Wendin

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 study the Josephson effect in a clean Superconductor-Ferromagnet-Superconductor junction for arbitrarily large spin polarizations. The Andreev reflection at a clean Ferromagnet-Superconductor interface is incomplete, and Andreev channels…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Cayssol , G. Montambaux

The tunneling spectrum of an electron and a hole in a superlattice of NS junctions is computed using the BTK approach and the transfer matrix method. It shows sharp resonances at some energies above the superconducting gap. The sharper the…

Superconductivity · Physics 2014-08-20 W. LiMing , Jiayun Luo , Xiaoxue Cai , Ke Sha , Liangbin Hu

We consider a bipartite quantum conductor and discuss the joint probability distribution of particle number in a subsystem and the self-information associated with the reduced density matrix of the subsystem. By extending the multi-contour…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 Yasuhiro Utsumi

Noise and current measurements are key tools for studying mesoscopic systems, revealing insights beyond conductance alone. For instance, noise measurements show that transport carriers in conventional superconductors have charge 2e. The…

Superconductivity · Physics 2024-11-05 Tim Kokkeler , Alexander Golubov , F. Sebastian Bergeret , Yukio Tanaka

We have generalized the scattering-matrix theory of multiple Andreev reflections in mesoscopic Josephson junctions to the multi-mode case, and applied it to short superconductor/normal metal/superconductor junctions with diffusive electron…

Superconductivity · Physics 2008-02-03 Athanassios Bardas , Dmitri V. Averin

We introduce the notion of nonreciprocal superconductors where inversion and time-reversal symmetries are broken, giving rise to an asymmetric energy dispersion. We demonstrate that nonreciprocal superconductivity can be detected by Andreev…

Superconductivity · Physics 2024-12-31 Margarita Davydova , Max Geier , Liang Fu

A general formula for the current through a disordered normal--superconducting junction is derived, which is valid at finite temperature and includes the full voltage dependence. The result depends on a multichannel scattering matrix, which…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 G. B. Lesovik , A. L. Fauchère , G. Blatter

We evaluate the differential conductance measured in a scanning tunneling microscopy (STM) setting at arbitrary electron transmission between an STM tip and a two-dimensional (2D) superconductor with arbitrary gap structure. Our analytical…

Superconductivity · Physics 2023-05-30 P. O. Sukhachov , Felix von Oppen , L. I. Glazman

We explore the full counting statistics of single electron tunneling through a quantum dot using a quantum point contact as non-invasive high bandwidth charge detector. The distribution of counted tunneling events is measured as a function…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. Fricke , F. Hohls , W. Wegscheider , R. J. Haug

We analyze the charge transport between a one-dimensional weakly interacting electron gas and a superconductor within the scaling approach in the basis of scattering states. We derive the renormalization group equations, which fully account…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Titov , M. Mueller , W. Belzig

A mesoscopic Coulomb blockade system with two identical transport channels is studied in terms of full counting statistics. It is found that the average current cannot distinguish the quantum constructive interference from the classical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shi-Kuan Wang , Hujun Jiao , Feng Li , Xin-Qi Li , YiJing Yan

We analyze the full counting statistics of a multiorbital Kondo effect in a quantum dotwith the SU(N) symmetry in the framework of the renormalized perturbation theory. The current probability distribution function is calculated for an…

Mesoscale and Nanoscale Physics · Physics 2012-06-28 Rui Sakano , Akira Oguri , Takeo Kato , Seigo Tarucha

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

An all-superconducting bijunction consists of a central superconductor contacted to two lateral superconductors, such that non-local crossed Andreev reflection is operating. Then new correlated transport channels for the Cooper pairs appear…

Mesoscale and Nanoscale Physics · Physics 2013-06-05 T. Jonckheere , J. Rech , T. Martin , B. Douçot , D. Feinberg , R. Mélin

We introduce electron-like and hole-like distribution functions, which determine the currents and the fluctuation spectra of the currents measured at a normal-conductor--superconductor hetero-structure. These distribution functions are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Thomas Gramespacher , Markus Buttiker

We develop a theory of charge transport along the quantum Hall edge proximitized by a "dirty" superconductor. Disorder randomizes the Andreev reflection rendering the conductance of a proximitized segment a stochastic quantity with zero…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Vladislav D. Kurilovich , Zachary M. Raines , Leonid I. Glazman

Microscopic theory of counting statistics of electrical noise is reviewed. We discuss a model of passive charge detector based on current fluctuations coupled to a spin, and its relation with the theory of photon counting in quantum optics.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. S. Levitov
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