Topological Andreev rectification

Quantized transport is a powerful probe of topological phases, and metals are topologically classified by the Euler characteristic of the Fermi sea. Here, the authors demonstrate analytically and numerically that a 2D metal proximitized by a Josephson junction exhibits rectification for current along the junction. They introduce the rectified nonlocal conductance and show it is quantized by the Fermi sea topology. InAs-based heterostructures, as well as monolayer and bilayer graphene, are identified as promising platforms for demonstrating this effect.