Electron band structure in a two-dimensional periodic magnetic field

M. C. Chang*, Q. Niu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)10843-10850
Number of pages8
JournalPhysical Review B
Issue number15
Publication statusPublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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