Physics – Condensed Matter – Materials Science
Scientific paper
2006-09-26
Int. J. Mod. Phys. B 20 (2006) 5427-5442.
Physics
Condensed Matter
Materials Science
19 pages, 5 figures. accepted to Int. J. Mod. Phys. B (April 2006)
Scientific paper
10.1142/S0217979206035837
In this paper we present calculations on the electronic band structure of a two-dimensional lateral superlattice subject to a perpendicular magnetic field by employing a projection operator technique based on the ray-group of magnetotranslation operators. We construct a new basis of appropriately symmetrized Bloch-like wavefunctions as linear combination of well-localized magnetic-Wannier functions. The magnetic field was consistently included in the Wannier functions defined in terms of free-electron eigenfunctions in the presence of external magnetic field in the symmetric gauge. Using the above basis, we calculate the magnetic energy spectrum of electrons in a lateral superlattice with bi-directional weak electrostatic modulation. Both a square lattice and a triangular one are considered as special cases. Our approach based on group theory handles the cases of integer and rational magnetic fluxes in a uniform way and the provided basis could be convenient for further both analytic and numerical calculations.
Divari P. C.
Kliros George S.
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