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Interactions in Quasicrystals

Julien Vidal·Dominique Mouhanna·Thierry Giamarchi
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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.

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Julien Vidal, Dominique Mouhanna, Thierry Giamarchi. 1999-12-19. Interactions in Quasicrystals. https://doi.org/10.1142/s0217979201005805

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