Electron scattering on circular symmetric magnetic profiles in a two-dimensional electron gas

Quasibound and scattered states in a two-dimensional electron gas (2DEG) subjected to a circular symmetric steplike magnetic profile with zero average magnetic field are studied. We calculate the effect of a random distribution of such identical profiles on the transport properties of a 2DEG. We show that a nonzero Hall resistance can be obtained, although 〈Bz〉=0, and that in some cases it can even change sign as function of the Fermi energy or the magnetic-field strength. The Hall and magnetoresistance show pronounced resonances apart from the Landau states of the inner core, corresponding to the so-called quasibound snake orbit states.