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