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We review our experiments on the electronic transport properties of atomic contacts between metallic electrodes, in particular superconducting ones. Despite ignorance of the exact atomic configuration, these ultimate quantum point contacts…

Mesoscale and Nanoscale Physics · Physics 2012-01-24 L. Bretheau , Ç. Girit , L. Tosi , M. Goffman , P. Joyez , H. Pothier , D. Esteve , C. Urbina

We study the electron transport through the quantum dot coupled to the normal metal and BCS-like superconductor (N - QD - S) in the presence of the Kondo effect and Andreev scattering. The system is described by the single impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Krawiec , K. I. Wysokinski

Transport through quantum coherent conductors, like atomic junctions, is described by the distribution of conduction channels. Information about the number of channels and their transmission can be extracted from various sources, such as…

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

Resonant tunneling through a quantum dot coupled to superconducting reservoirs in the presence of time-dependent external voltage has been studied. A general formula of the current is derived based on the nonequilibrium Green's function…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Sam Young Cho , Kicheon Kang , Chang-Mo Ryu

In this paper we address the topic of inelastic electron scattering in mesoscopic quantum transport. For systems where only elastic scattering is present, Landauer theory provides an adequate description of transport that relates the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

The planar-diagrammatic technique of large-$N$ random matrices is extended to evaluate averages over the circular ensemble of unitary matrices. It is then applied to study transport through a disordered metallic ``grain'', attached through…

Condensed Matter · Physics 2009-10-28 N. Argaman , A. Zee

The Landauer formula allows us to describe theoretically the conductance in terms of the transmission function in a mesoscopic system. We propose a general method to evaluate the transmission function in the complex domain for systems…

Mesoscale and Nanoscale Physics · Physics 2020-08-06 Mauricio J. Rodríguez , Bryan D. Gomez , Carlos Ramírez

The scattering theory of quantum transport relates transport properties of disordered mesoscopic conductors to their transfer matrix $\bbox{T}$. We introduce a novel approach to the statistics of transport quantities which expresses the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Endesfelder

In the "ballistic" regime, the transport across a normal metal (N)/superconductor (S) point-contact is dominated by a quantum process called Andreev reflection. Andreev reflection causes an enhancement of the conductance below the…

Superconductivity · Physics 2021-10-04 Ritesh Kumar , Goutam Sheet

Quantum-confined semiconductor structures are the cornerstone of modern-day electronics. Spatial confinement in these structures leads to formation of discrete low-dimensional subbands. At room temperature, carriers transfer among different…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 I. Knezevic , E. B. Ramayya , D. Vasileska , S. M. Goodnick

Thermodynamic and transport properties of mesoscopic conductors are strongly influenced by the proximity of a superconductor: An interplay between the large scale quantum coherent wave functions in the normal mesoscopic and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Altland , B. D. Simons , D. Taras-Semchuk

We show that reflection symmetry has a strong influence on quantum transport properties. Using a random S-matrix theory approach, we derive the weak-localization correction, the magnitude of the conductance fluctuations, and the…

Condensed Matter · Physics 2009-10-28 Harold U. Baranger , Pier A. Mello

We analyze the subgap spectrum and transport properties of the quantum dot embedded between one superconducting and another metallic reservoirs and additionally coupled to an external boson mode. Emission/absorption of the bosonic quanta…

Superconductivity · Physics 2015-07-24 J. Baranski , T. Domanski

A quantum dot is a sub-micron-scale conducting device containing up to several thousand electrons. Transport through a quantum dot at low temperatures is a quantum-coherent process. This review focuses on dots in which the electron's…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Y. Alhassid

In this article we review the state of the art on the transport properties of quantum dot systems connected to superconducting and normal electrodes. The review is mainly focused on the theoretical achievements although a summary of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 A. Martin-Rodero , A. Levy Yeyati

In a mesoscopic metal in proximity with a superconductor, the electronic conductance is enhanced in a very energy-sensitive way. In this paper, we discuss the spectral conductance of a proximity superconductor from both the theoretical and…

Condensed Matter · Physics 2007-05-23 H. Courtois , P. Charlat , Ph. Gandit , D. Mailly , B. Pannetier

The Landauer formula provides a general scattering formulation of electrical conduction. Despite its utility, it has been mainly applied to the linear-response regime, and a scattering theory of nonlinear response has yet to be fully…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 Kohei Kawabata , Masahito Ueda

Electron correlation in a quantum many-body state appears as peculiar scattering behaviour at its boundary, symbolic of which is Andreev reflection at a metal-superconductor interface. Despite being fundamental in nature, dictated by the…

Mesoscale and Nanoscale Physics · Physics 2021-05-20 Masayuki Hashisaka , Thibaut Jonckheere , Takafumi Akiho , Satoshi Sasaki , Jerome Rech , Thierry Martin , Koji Muraki

In the late seventies an increasing interest in the scaling theory of Anderson localization led to new efforts to understand the conductance of systems which scatter electrons elastically. The conductance and its relation to the scattering…

Mesoscale and Nanoscale Physics · Physics 2010-07-05 Markus Büttiker , Michael Moskalets