J. Phys. I France
Volume 4, Numéro 1, January 1994
Page(s) 133 - 138
DOI: 10.1051/jp1:1994126
J. Phys. I France 4 (1994) 133-138

Density of states and magnetic susceptibilities on the octagonal tiling


Laboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France

(Received 26 August 1993, accepted 5 November 1993)

We study electronic properties as a function of the six types of local environments of the octagonal quasiperiodic tiling using a tight-binding model. The density of states has six characteristic forms, although the detailed structure differs from site to site since no two sites are equivalent in a quasiperiodic tiling. We present the site-dependent magnetic susceptibility of electrons on this tiling, which also has six characteristic dependences on energy. We show the existence of a non-local spin susceptibility, which decays with the square of the distance between sites and corresponds to quasiperiodic Ruderman-Kittel oscillations. We investigate the formation of local magnetic moments when electron-electron interactions are included.

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