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Large deviation theory provides a framework to understand macroscopic fluctuations and collective phenomena in many-body nonequilibrium systems in terms of microscopic dynamics. In these lecture notes we discuss the large deviation…

Statistical Mechanics · Physics 2025-01-17 Pablo I. Hurtado

We investigate the full counting statistics of charge transport in $U(1)$-symmetric random unitary circuits. We consider an initial mixed state prepared with a chemical potential imbalance between the left and right halves of the system,…

Quantum Physics · Physics 2023-12-04 Ewan McCulloch , Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur

We theoretically consider charge transport through two quantum dots coupled in series. The corresponding full counting statistics for noninteracting electrons is investigated in the limits of sequential and coherent tunneling by means of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. Kiesslich , P. Samuelsson , A. Wacker , E. Schoell

The Andreev reflection of narrow ferromagnet/superconductor point contacts is theoretically studied. We show that the conductance quantization depends on whether the contact region is superconducting or ferromagnetic as well as on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Keiichirou Kikuchi , Hiroshi Imamura , Saburo Takahashi , Sadamichi Maekawa

We study heat and charge transport through a normal diffusive wire coupled with a superconducting wire over the region smaller than the coherence length. Due to partial Andreev reflection of quasiparticles from the interface, the subgap…

Superconductivity · Physics 2014-12-03 E. V. Bezuglyi , V. Vinokur

Voltage and dephasing probes introduce incoherent inelastic and incoherent quasi-elastic scattering into a coherent mesoscopic conductor. We discuss in detail the concepts of voltage and dephasing probes and develop a full counting…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Heidi Forster , Peter Samuelsson , Sebastian Pilgram , Markus Buttiker

Electronic properties of mesoscopic systems made of normal metal in contact with normal and superconducting reservoirs are determined by Andreev Reflection. We address both experimentally and theoretically how Andreev Reflection manifests…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Reulet , D. E. Prober , W. Belzig

We formulate a general approach which describes statistics of current fluctuations in mesoscopic coherent conductors at arbitrary frequencies and in the presence of interactions. Applying this approach to the non-interacting case, we…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. V. Galaktionov , D. S. Golubev , A. D. Zaikin

Non-linear electrodynamics of a ring-shaped Andreev interferometer (superconductor-normal conductor-superconductor hybrid structure) inductively coupled to a circuit of the dissipative current is investigated. The current-voltage…

Superconductivity · Physics 2009-11-10 A. Kadigrobov

We derive a microscopic effective action for superconducting contacts with arbitrary transmission distribution of conducting channels. Provided fluctuations of the Josephson phase remain sufficiently small our formalism allows to fully…

Superconductivity · Physics 2015-05-18 A. V. Galaktionov , A. D. Zaikin

We investigate superconducting quantum interference devices consisting of two highly transmissive Josephson junctions coupled by a superconducting loop, all defined in an epitaxial InAs/Al heterostructure. A novel device design allows for…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 F. Nichele , E. Portolés , A. Fornieri , A. M. Whiticar , A. C. C. Drachmann , T. Wang , G. C. Gardner , C. Thomas , A. T. Hatke , M. J. Manfra , C. M. Marcus

Epitaxially grown, high quality semiconductor InSb nanowires are emerging material systems for the development of high performance nanoelectronics and quantum information processing and communication devices, and for the studies of new…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 H. A. Nilsson , P. Samuelsson , P. Caroff , H. Q. Xu

We demonstrate that the probability distribution of the net number of electrons passing through a quantum system in a junction obeys a steady-state fluctuation theorem (FT) which can be tested experimentally by the full counting statistics…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Massimiliano Esposito , Upendra Harbola , Shaul Mukamel

The Josephson Effect and Superconducting Proximity Effect were observed in Superconductor -Graphene-Superconductor (SGS) Josephson junctions with coherence lengths comparable to the distance between the superconducting leads. By comparing…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xu Du , Ivan Skachko , Eva Y. Andrei

Last years many interesting effects related to incoherent MAR have been experimentally found, but only few of them were theoretically explained. It was shown, for example, that if the voltage at the edges of a linear array is $V$ then…

Mesoscale and Nanoscale Physics · Physics 2010-06-11 N. M. Chtchelkatchev

Floquet theory describes quantum systems governed by time-periodic Hamiltonians, much as Bloch theory describes spatially periodic solids. In voltage-biased multiterminal Josephson junctions, the Josephson relation causes superconducting…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Régis Mélin , Romain Danneau , Morteza Kayyalha

Biasing a three-terminal Josephson junction (TTJ) with symmetrical voltages $0,V,-V$ leads to new kinds of DC currents, namely quartet Josephson currents and phase-dependent multiple Andreev reflection (MAR) currents. We study these…

Superconductivity · Physics 2023-07-14 T. Jonckheere , J. Rech , C. Padurariu , L. Raymond , T. Martin , D. Feinberg

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

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 measure the full distribution of current fluctuations in a single-electron transistor with a controllable bistability. The conductance switches randomly between two levels due to the tunneling of single electrons in a separate…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 S. Singh , J. T. Peltonen , I. M. Khaymovich , J. V. Koski , C. Flindt , J. P. Pekola
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