Effects of Electron Correlations on Hofstadter Spectrum

Details Effects of Electron Correlations on Hofstadter Spectrum Effects of Electron Correlations on Hofstadter Spectrum

1997-03-04

arxiv.org/abs/cond-mat/9703037v1

Physics

Condensed Matter

13 pages, 5 Postscript figures

Scientific paper

10.1103/PhysRevB.57.1312

By allowing interactions between electrons, a new Harper's equation is derived to examine the effects of electron correlations on the Hofstadter energy spectra. It is shown that the structure of the Hofstadter butterfly ofr the system of correlated electrons is modified only in the band gaps and the band widths, but not in the characteristics of self-similarity and the Cantor set.

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