Three "universal" mesoscopic Josephson effects

TL;DR

This paper investigates the universal properties of mesoscopic Josephson effects across various systems, revealing fundamental behaviors of supercurrents in quantum point contacts, quantum dots, and disordered contacts.

Contribution

It introduces a unified framework for understanding Josephson effects in mesoscopic systems, highlighting their universal characteristics regardless of specific device details.

Findings

Supercurrent exhibits universal behavior in different mesoscopic systems

Supercurrent fluctuations are characterized and quantified

Average supercurrent behavior is consistent across various contact types

Abstract

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)