Band structure and localization of electronic states of 2DEG in an inhomogeneous magnetic field

State Key Laboratory Cultivation Base for Nonmetal Composites and Functional Materials, Southwest University of Science and Technology, Mianyang 621010, P.R. China

^a e-mail: xwzhang1980@gmail.com

Received: 3 March 2014
Revised: 26 June 2014
Accepted: 15 September 2014
Published online: 13 October 2014

Abstract

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.