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Published online by Cambridge University Press: 13 October 2014
Based on the finite-differences approach, we study the electronic properties of two-dimensional electron gas under an inhomogeneous magnetic field. Such structure can be realized by deposition of ferromagnetic strips on the surface of a semiconductor heterostructure. It is found that the system exhibits rich band structures. Many bound states are twofold degenerate for θ = π/2, which defines the magnetization direction in the ferromagnetic strips, while few degenerate state exist for θ = 0. Despite of this, there are three kinds of electronic states in our system: the extended, localized and intermediate ones, which is very different from the case of absence of magnetic field.