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Effects of Electron Correlations on Hofstadter Spectrum

Condensed Matter 2009-10-30 v1

Abstract

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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Cite

@article{arxiv.cond-mat/9703037,
  title  = {Effects of Electron Correlations on Hofstadter Spectrum},
  author = {Hyeonjin Doh and Seung-Pyo Hong and Sung-Ho Suck Salk},
  journal= {arXiv preprint arXiv:cond-mat/9703037},
  year   = {2009}
}

Comments

13 pages, 5 Postscript figures