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

¹ CENOLI, Université Libre de Bruxelles - CP 231, Campus Plaine, B-1050 Brussels, Belgium
² Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica (CNEA), Universidad Nacional de Cuyo (UNCUYO) - (8400) Bariloche, Argentina
³ Instituto de Nanociencia y Nanotecnología (INN), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) - (8400) Bariloche, Argentina

^(a) E-mail: lucila.peralta.gavensky@ulb.be (corresponding author)

Received: 21 November 2022
Accepted: 13 January 2023

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 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.