Phase Transitions in Josephson Junction Arrays

Josephson junction arrays based on superconductor-semiconductor materials allow for in-situ configurability via a gate voltage-tunable electron density in the semiconductor. This provides unique capabilities for quantum simulation and potential insights into phase transitions in engineered meta-material arrays. We use square and hexagonal superconducting islands whose interactions are mediated by Josephson junctions where Josephson coupling between these islands are modulated through gating. We study the electronic response of these arrays in superconducting and insulating regimes. We also discuss how these Josephson junction arrays can be used to explore signatures of chiral topological superconductivity through tunable time-reversal symmetry breaking.