Multi-terminal Josephson junctions: a road to topological flux networks

TL;DR

This paper reviews multi-terminal Josephson junctions as a flexible platform for creating topological flux networks, connecting recent theoretical and experimental advances to foundational concepts in topological physics.

Contribution

It provides a comprehensive overview of how multi-terminal Josephson junctions can emulate topological Hamiltonians and serve as realizations of topological flux networks, highlighting recent progress and future directions.

Findings

Recent experimental realizations of topological flux networks

Theoretical models linking Josephson junctions to topological Hamiltonians

Identification of Josephson devices as platforms for topological physics

Abstract

Multi-terminal Josephson junctions were recently proposed as a versatile and tunable platform to emulate topological Bloch-like Hamiltonians in arbitrary dimensions. In this perspective article, we will give a brief overview of the subject and recognize these mesoscopic devices as realizations of topological flux networks as the ones envisioned by J. E. Avron and coworkers in their seminal works on the early days of the quantum Hall effect. We summarize the current state-of-the-art theoretical and experimental research regarding these Josephson devices, highlighting recent developments and giving an outlook on current trends.