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Effects of electron correlations on the Hofstadter spectrum

1997/03/04 by Hyeonjin Doh, Seung-Pyo Hong, Sung‐Ho Suck Salk +1 · 2 citations
Engineering · Materials Science · Physics and Astronomy · #Phase-change materials and chalcogenides #Photonic and Optical Devices #Topological Materials and Phenomena #cond-mat

paper · pdf · doi:10.1103/physrevb.57.1312

13 pages, 5 Postscript figures

arxiv created 1997/03/04 · openalex publication_date 1998/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By allowing interactions between electrons, a 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 for the system of correlated electrons is modified only in the band gaps and bandwidths, but not in the characteristics of self-similarity and the Cantor set.

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