Executive Summary : | The Hall effect, a fundamental phenomenon in condensed matter and materials physics, has been discovered to be non-linear, requiring no time-reversal symmetry breaking. This non-linear Hall effect, connected to dipole moments of the Berry curvature, is limited to very low temperatures. To better understand this phenomenon and harness its full potential, researchers are searching for materials and mechanisms to achieve large non-linear Hall signals, preferably at ambient conditions. They believe that large values of non-linear Hall signals can be achieved close to topological phase transitions in different material platforms. The project aims to design material systems, including heterostructures and superlattices, to obtain improved non-linear Hall materials. The non-linear Hall effect beyond second order is largely unexplored, and the study will identify and predict materials systems with response beyond second order and delineate symmetry requirements. This will establish three-dimensional materials as a new class of multifunctional materials and pave the way for their potential applications in the non-linear regime. |