Interactions in Quasicrystals
Abstract
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.
Cite
@article{arxiv.cond-mat/9912343,
title = {Interactions in Quasicrystals},
author = {Julien Vidal and Dominique Mouhanna and Thierry Giamarchi},
journal= {arXiv preprint arXiv:cond-mat/9912343},
year = {2007}
}
Comments
Proceedings of the Many Body X conference (Seattle, Sept. 99); 9 pages; uses epsfig