Greedy optimization of the geometry of Majorana Josephson junctions

André Melo*, Tanko Tanev, Anton R. Akhmerov

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

14 Downloads (Pure)


Josephson junctions in a two-dimensional electron gas with spin-orbit coupling are a promising candidate to realize topological superconductivity. While it is known that the geometry of the junction strongly influences the size of the topological gap, the question of how to construct optimal geometries remains unexplored. We introduce a greedy numerical algorithm to optimize the shape of Majorana junctions. The core of the algorithm relies on perturbation theory and is embarrassingly parallel, which allows it to explore the design space efficiently. By introducing stochastic variations in the junction Hamiltonian, we avoid overfitting geometries to specific system parameters. Furthermore, we constrain the optimizer to produce smooth geometries by applying image filtering and fabrication resolution constraints. We run the algorithm in various setups and find that it reliably produces geometries with increased topological gaps over large parameter ranges. The results are robust to variations in the optimization starting point and the presence of disorder, which suggests the optimizer is capable of finding global maxima.

Original languageEnglish
Article number047
Number of pages13
JournalSciPost Physics
Issue number3
Publication statusPublished - 2023


Dive into the research topics of 'Greedy optimization of the geometry of Majorana Josephson junctions'. Together they form a unique fingerprint.

Cite this