The spectrum of magnetic edge states and their transport properties in thepresence of a perpendicular non-homogeneous magnetic field in a quantum wireformed by a parabolic confining potential are obtained. Systems are studiedwhere the magnetic field exhibits a discontinuous jump in the transversedirection and changes its sign, strength, and both sign and strength at themagnetic interface. The energy spectra and wave functions of these systems, thecorresponding group velocities along the interface and the particle averagepositions normal to the interface are calculated. The resistance of the quantumwire in the presence of such a magnetic interface is obtained both in theballistic and the diffusive regimes as a function of the Fermi energy and ofthe homogeneous background magnetic field. The results are compared with thosefor the case of a homogeneous field.
展开▼