Physics – Condensed Matter
Scientific paper
1996-09-15
Physics
Condensed Matter
revtex, 4 pages, 5 figures
Scientific paper
10.1103/PhysRevLett.77.4752
We study the effect of interparticle interaction $U$ on the spectrum of the Harper model and show that it leads to a pure-point component arising from the multifractal spectrum of non interacting problem. Our numerical studies allow to understand the global structure of the spectrum. Analytical approach developed permits to understand the origin of localized states in the limit of strong interaction $U$ and fine spectral structure for small $U$.
Barelli Armelle
Bellissard Jean
Jacquod Philippe
Shepelyansky Dima L.
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