The Hofstadter Energy Spectrum for an Interacting 2DEG

Details The Hofstadter Energy Spectrum for an Interacting 2DEG The Hofstadter Energy Spectrum for an Interacting 2DEG

1995-08-16

arxiv.org/abs/cond-mat/9508054v1

Surface Science 361-362, 505 (1996)

Physics

Condensed Matter

LaTeX 4 pages with 3 PostScript figures, Contribution to EP2DSXI Nottingham August 95 to appear in Surface Science

Scientific paper

10.1016/0039-6028(96)00456-6

We study the effects of the Coulomb interactions between electrons on the Hofstadter butterfly, which characterizes the subband structure of the Landau levels of a two-dimensional electron gas in a perpendicular homogeneous magnetic field and a periodic lateral superlattice potential. The interactions essentially preserve the intricate gap structure of the Hofstadter spectra, but with a lower symmetry that depends on the filling of the Landau bands. For short enough periods and strong enough modulation the miniband structure can be resolved in the thermodynamic density of states.

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