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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

On the basis of the Bogoliubov--de Gennes theory we study the transformation of the quasiparticle spectrum in the mixed state of a mesoscopic superconductor, governed by an external magnetic field. We analyze the low energy part of the…

Superconductivity · Physics 2008-07-14 A. S. Mel'nikov , D. A. Ryzhov , M. A. Silaev

Phonon heat transport in mesoscopic systems is investigated using methods analogous to the Landauer description of electrical conductance. A "universal heat conductance" expression that depends on the properties of the conducting pathway…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. E. Angelescu , M. C. Cross , M. L. Roukes

We investigate the low-energy quantum transport in the ballistic normal metal-insulator -superconductor junction in the presence of magnetic field creating Abrikosov vortices in the superconductor. Within the Bogolubov- de Gennes theory we…

Superconductivity · Physics 2009-11-13 M. A. Silaev

The thermal conductance by phonons of a quasi-one-dimensional solid with isotope or defect scattering is studied using the Landauer formalism for thermal transport. The conductance shows a crossover from localized to Ohmic behavior, just as…

Disordered Systems and Neural Networks · Physics 2009-11-13 P. G. Murphy , J. E. Moore

We examine energy relaxation of non-equilibrium quasiparticles in different vortex configurations in ``dirty'' $s$-wave superconductors. The heat flow from the electronic subsystem to phonons in a mesoscopic superconducting disk with a…

We investigate nonlinear heat properties in mesoscopic conductors using a scattering theory of transport. Our approach is based on a leading-order expansion in both the electrical and thermal driving forces. Beyond linear response, the…

Mesoscale and Nanoscale Physics · Physics 2013-09-03 Rosa Lopez , David Sanchez

The superconducting state of an infinitely long superconducting cylinder surrounded by a medium which enhances its superconductivity near the boundary is studied within the nonlinear Ginzburg-Landau theory. This enhancement can be due to…

Superconductivity · Physics 2009-11-07 B. J. Baelus , S. V. Yampolskii , F. M. Peeters , E. Montevecchi , J. O. Indekeu

We theoretically investigate the appearance of spatially modulated superconducting states in mesoscopic superconducting thin-wall cylinders in a magnetic field at low temperatures. Quantization of the electron motion around the…

Superconductivity · Physics 2015-06-12 K. Aoyama , R. Beaird , D. E. Sheehy , I. Vekhter

Mesoscopic superconductivity deals with various quasiparticle excitation modes, only one of them -- the charge-mode -- being directly accessible for conductance measurements due to the imbalance in populations of quasi-electron and…

We use Time-Dependent Ginzburg-Landau theory to study the nucleation of vortices in type II superconductors in the presence of both geometric and material inhomogeneities. The superconducting Meissner state is meta-stable up to a critical…

Computational Physics · Physics 2020-04-29 Alden R. Pack , Jared Carlson , Spencer Wadsworth , Mark K. Transtrum

We study the radiative heat transfer between two semi-infinite half-spaces, bounded by conductive surfaces in contact with vacuum. This setup is interpreted as a four-terminal mesoscopic transport problem. The slabs and interfaces are…

Mesoscale and Nanoscale Physics · Physics 2017-01-24 Han Hoe Yap , Jian-Sheng Wang

The electric charge density in mesoscopic superconductors with circular symmetry, i.e. disks and cylinders, is studied within the phenomenological Ginzburg-Landau approach. We found that even in the Meissner state there is a charge…

Superconductivity · Physics 2009-10-31 S. V. Yampolskii , B. J. Baelus , F. M. Peeters , J. Kolacek

The interplay of geometrical and Andreev quantization in mesoscopic superconductors leads to giant mesoscopic oscillations of energy levels as functions of the Fermi momentum and/or sample size. Quantization rules are formulated for closed…

Quantum Hall-superconductor heterostructures provide possible platforms for intrinsically fault-tolerant quantum computing. Motivated by several recent experiments that successfully integrated these phases, we investigate transport through…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Yuchen Tang , Christina Knapp , Jason Alicea

We develop a microscopic theory of single-electron transport in N-S-N hybrid structures in the presence of applied magnetic field introducing vortex lines in a superconductor layer. We show that vortex cores in a thick and clean…

Superconductivity · Physics 2009-11-10 N. B. Kopnin , A. S. Mel'nikov , V. M. Vinokur

We present an experimental study of the diffusive transport in a normal metal near a superconducting interface, showing the re-entrance of the metallic conductance at very low temperature. This new mesoscopic regime comes in when the…

Condensed Matter · Physics 2009-10-28 P. Charlat , H. Courtois , Ph. Gandit , D. Mailly , A. F. Volkov , B. Pannetier

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

The vortex dynamics in mesoscopic superconducting cylinders with rectangular cross section under an axially applied magnetic field is investigated in the multivortex London regime. The rectangles considered range from a square up to an…

Superconductivity · Physics 2007-05-23 Clécio C. de Souza Silva , Leonardo R. E. Cabral , J. Albino Aguiar

Phase transitions in superconducting mesoscopic disks have been studied over the H-T phase diagram through heat capacity measurement of an array of independent aluminium disks. These disks exhibit non periodic modulations versus H of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. R. Ong , Olivier Bourgeois
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