Two-dimensional electronic systems such as semiconductor devices and graphene with its new variants have fascinating physical properties and promising applications in new-generation electronics. In these systems it is essential to understand how electrons behave under different conditions. Recent studies have revealed that depending on the material, electrons may show abrupt diffusion properties, complex branched flow resembling ocean waves, or quantum "scarring" with ordered paths among chaos. In this project we examine these phenomena with comprehensive classical and quantum simulations. Alongside physical understanding, our goal is to develop a transport scheme, where electronic motion in two-dimensional systems can be controlled at will, even in the presence of disorder. Potential applications include new nanoscale quantum transistors.

2022

2026