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arxiv: cond-mat/9703037 · v1 · submitted 1997-03-04 · ❄️ cond-mat

Effects of Electron Correlations on Hofstadter Spectrum

classification ❄️ cond-mat
keywords hofstadterbandcorrelationseffectselectronelectronsallowingbutterfly
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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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