Topological Hall Effect in Magnetic Nanostructures

Abstract

We derived topological Hall effect for currents that pass adiabatically through magnetic materials that have continuous magnetizations directly from the Karplus Luttinger theory, and found an important implication that a Hall conductivity could deduce the polarity of a magnetic profile in the vortex state. This is a significant discovery as it may allow one to electrically detect binary information stored in the polarity of a magnetic vortex that is the natural ground state of a permalloy disc.