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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

Magneto-fluctuations of the normal resistance RN have been reproducibly observed in YBa2Cu3O7-d biepitaxial grain boundary junctions at low temperatures. We attribute them to mesoscopic transport in narrow channels across the grain boundary…

Quasiperiodicity has recently been proposed to enhance superconductivity and its proximity effect. At the same time, there has been significant experimental progress in the fabrication of quasiperiodic structures, also in reduced…

Superconductivity · Physics 2024-09-27 Anna Sandberg , Oladunjoye A. Awoga , Annica M. Black-Schaffer , Patric Holmvall

We consider Novikov problem of the classification of level curves of quasiperiodic functions on the plane and its connection with the conductivity of two-dimensional electron gas in the presence of both orthogonal magnetic field and the…

Condensed Matter · Physics 2021-05-04 Andrei Ya. Maltsev

Topological bandstructures interfering with moir\'e superstructures give rise to a plethora of emergent phenomena, which are pivotal for correlated insulating and superconducting states of twisttronics materials. While quasiperiodicity was…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Tobias Herrig , Christina Koliofoti , Jedediah H. Pixley , Elio J. König , Roman-Pascal Riwar

We have studied the interplay of Andreev reflection and cyclotron motion of quasiparticles at a superconductor-normal-metal interface with a strong magnetic field applied parallel to the interface. Bound states are formed due to the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. Hoppe , U. Zuelicke , Gerd Schoen

Oxide heterostructures have repeatedly been shown to display apical properties at the interfaces, some of which favorable to the formation of two-dimensional electron systems, as well as high transition temperature superconductivity. In…

Superconductivity · Physics 2022-12-21 Wai Hei Terence Tse , Carla Lupo , Evan Sheridan , Evgeny Plekhanov , Cedric Weber

The distinctive quasiparticle distribution existing under nonequilibrium in a superconductor-insulator-normal metal-insulator-superconductor (SINIS) mesoscopic line is proposed as a novel tool to control the supercurrent intensity in a long…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. Giazotto , T. T. Heikkila , F. Taddei , Rosario Fazio , J. P. Pekola , F. Beltram

We develop two generalizations of contraction theory, namely, semi-contraction and weak-contraction theory. First, using the notion of semi-norm, we propose a geometric framework for semi-contraction theory. We introduce matrix…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Saber Jafarpour , Pedro Cisneros-Velarde , Francesco Bullo

Organic semiconductors based on small conjugated molecules generally behave as insulators when undoped, but the hetero-interfaces of two such materials can show electrical conductivity as large as in a metal. Although charge transfer is…

We analyze the transport properties of contacts between unconventional superconductor and normal diffusive metal in the framework of the extended circuit theory. We obtain a general boundary condition for the Keldysh-Nambu Green's functions…

Superconductivity · Physics 2009-11-10 Y. Tanaka , Yu. V. Nazarov , A. A. Golubov , S. Kashiwaya

Using an approach based on quasiclassical Green's functions we present a theoretical study of transport in mesoscopic S/N structures in the diffusive limit. The subgap conductance in S/N structures with barriers (zero bias and finite bias…

Superconductivity · Physics 2009-10-31 A. F. Volkov , V. V. Pavlovskii , R. Seviour

At low temperature, the concentration of quasiparticles observed in superconducting circuits far exceeds the predictions of microscopic BCS theory at equilibrium. As a source of dissipation, these excess quasiparticles degrade the…

Superconductivity · Physics 2025-12-18 Romy Morin , Denis M. Basko , Manuel Houzet , Julia S. Meyer

A class of models is considered for a quantum particle constrained on degenerate Riemannian manifolds known as Grushin cylinders, and moving freely subject only to the underlying geometry: the corresponding spectral analysis is developed in…

Spectral Theory · Mathematics 2021-05-25 Matteo Gallone , Alessandro Michelangeli

The conductance of a normal-metal mesoscopic system in proximity to superconducting electrode(s) is calculated. The normal-metal part may have a general geometry, and is described as a ``circuit'' with ``leads'' and ``junctions''. The…

Condensed Matter · Physics 2016-08-31 Nathan Argaman

We study non-equilibrium transport through a superconducting flat-band lattice in a two-terminal setup with the Schwinger-Keldysh method. We find that quasiparticle transport is suppressed and coherent pair transport dominates. For…

Superconductivity · Physics 2023-06-07 Ville A. J. Pyykkönen , Sebastiano Peotta , Päivi Törmä

The coupling of superconductivity to unconventional materials may lead to novel quantum states and potential applications. Controlling the quality of the superconductor-normal metal interface is of crucial importance to the understanding…

The study explores perpendicular transport through macroscopically inhomogeneous three-dimensional disordered conductors using mesoscopic methods (real-space Green function technique in a two-probe measuring geometry). The nanoscale samples…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

Quantum fluctuations of the phases of the order parameter in 2D arrays of mesoscopic Josephson junctions and their effect on the destruction of superconductivity in the system are investigated by means of a quantum-cosine model that is free…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , Yu. E. Lozovik

We develop a theory of the quasiparticle interference (QPI) in multiband superconductors based on strong-coupling Eliashberg approach within the Born approximation. In the framework of this theory, we study dependencies of the QPI response…

Superconductivity · Physics 2017-10-11 A. Dutt , A. A. Golubov , O. V. Dolgov , D. V. Efremov