Electron Band Structure in a Two Dimensional Periodic Magnetic Field

Details Electron Band Structure in a Two Dimensional Periodic Magnetic Field Electron Band Structure in a Two Dimensional Periodic Magnetic Field

1994-07-19

arxiv.org/abs/cond-mat/9407083v1

Phy. Rev. B50, 10843 (94)

Physics

Condensed Matter

16 pages in TeX and 5 uuencoded figures

Scientific paper

10.1103/PhysRevB.50.10843

In this paper we study the energy spectrum of a two dimensional electron gas (2DEG) in a two dimensional periodic magnetic field. Both a square magnetic lattice and a triangular one are considered. We consider the general case where the magnetic field in a cell can be of any shape. A general feature of the band structure is bandwidth oscillation as a function of the Landau index. A triangular magnetic lattice on a 2DEG can be realized by the vortex lattice of a superconductor film coated on top of a heterojunction. Our calculation indicates a way of relating the energy spectrum of the 2DEG to the vortex structure. We have also derived conditions under which the effects of a weak magnetic modulation, periodic or not, may be reproduced by an electric potential modulation, and vice versa.

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