2D Electron dynamics in single layer graphene with spin-orbital interaction and resonator-like external fields

The ballistic electron transport in inhomogeneous graphene is considered. The most general case when either electric field or magnetic one, the exchange interaction coefficient or magnetization, or all of these coefficients altogether could have proper inhomogeneities. As a result, the effective way of controlling electron beam transport is provided and a lot of possibilities of spin transport are opened. The excitation of ringlike resonators created by external electric and magnetic fields is considered. The joint application of electric and magnetic fields seems more effective than using electric field only.