Inverse magneto-conductance design by automatic differentiation

Magneto-conductance in thin wires often exhibits complicated patterns due to the quantum interference of conduction electrons. These patterns reflect microscopic structures in the wires, such as defects or potential distributions. In this study, we propose an inverse design method to automatically generate a microscopic structure that exhibits desired magneto-conductance patterns. We numerically demonstrate that our method accurately generates defect positions in wires and can be effectively applied to various complicated patterns, such as the shape of the Colosseum and Nirvana. We also discuss techniques for designing structures that facilitate experimental investigation.