Interactions in Quasicrystals

Details Interactions in Quasicrystals Interactions in Quasicrystals

1999-12-19

arxiv.org/abs/cond-mat/9912343v1

Int. J. Mod. Phys. B 15, 1329 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

Proceedings of the Many Body X conference (Seattle, Sept. 99); 9 pages; uses epsfig

Scientific paper

10.1142/S0217979201005805

Although the effects of interactions in solid state systems still remains a widely open subject, some limiting cases such as the three dimensional Fermi liquid or the one-dimensional Luttinger liquid are by now well understood when one is dealing with interacting electrons in {\it periodic} crystalline structures. This problem is much more fascinating when periodicity is lacking as it is the case in {\it quasicrystalline} structures. Here, we discuss the influence of the interactions in quasicrystals and show, on a controlled one-dimensional model, that they lead to anomalous transport properties, intermediate between those of an interacting electron gas in a periodic and in a disordered potential.

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