1. Introduction
  2. Supercurrent from Excitation Spectrum
  3. Excitation Spectrum from Scattering Matrix
  4. Short-Junction Limit
  5. Universal Josephson Effects
  5.1 Quantum Point Contact
  5.2 Quantum Dot
  5.3 Disordered Point Contact (Average supercurrent, Supercurrent
fluctuations)Comment: 21 pages, 2 figures; legacy revie

A Furusaki

AD Stone

AF Andreev

AV Zaĭtsev

BJ Wees van

BL Al’tshuler

CWJ Beenakker

DA Wharam

DS Fisher

E Akkermans

GB Arnold

H Takayanagi

IO Kulik

J Bardeen

KK Likharev

LD Landau

LI Glazman

M Büttiker

M Kupriyanov

PA Lee

PG Gennes de

V Ambegaokar

V Kalmeyer

W Haberkorn

W Xue

Y Imry

English

arXiv

Beenakker, C.W.J.

NARCIS 

Three universal mesoscopic Josephson effects

C. W. J. Beenakker

Crossref

Three “Universal” Mesoscopic Josephson Effects

Abstract. A recent theory is reviewed for the sample-to-sample fluctuations in the critical current of a Josephson junction consisting of a disordered point contact or microbridge. The theory is based on a relation between the super-current and the scattering matrix in the normal state. The root-mean-square amplitude rms/c of the critical current 7C at zero temperature is given by rms 7C ~ eAo/Ä, up to a numerical coefficient of order unity (Δο is the en-ergy gap). This is the superconducting analogue of &quot;Universal Conductance Fluctuations &quot; in the normal state. The theory can also be applied to a ballis-tic point contact, where it yields the analogue of the quantized conductance, and to a quantum dot, where it describes supercurrent resonances. All three phenomena provide a measurement of the supercurrent unit βΔο/ft, and are &quot;universal &quot; through the absence of a dependence on junction Parameters. Nanostructures combining semiconducting and superconducting elements form a new class of Systems in which to search for mesoscopic phenomena. The corre

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Three Universal Mesoscopic Josephson Effects

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Three "universal" mesoscopic Josephson effects

Three "universal" mesoscopic Josephson effects

Abstract

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NARCIS

Crossref

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Leiden University Scholary Publications