Numerical evidence of backscattering in approximants of quasicrystals

Guy Trambly de Laissardière (1) , Jean-Pierre Julien (2) , Didier Mayou (2)

1 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation
2 LEPES - Laboratoire d'Etudes des Propriétés Electroniques des Solides

We compute the velocity correlation function of electronic states close to the Fermi energy, in approximants of quasicrystals. As we show the long time value of this correlation function is small. This means a small Fermi velocity, in agreement with previous band structure studies. Furthermore the correlation function is negative on a large time interval which means a phenomenon of backscattering. As shown in previous studies the backscattering can explain unusual conduction properties, observed in these alloys, such as for example the increase of conductivity with disorder.

Mots clés: Physical Sciences

Domaines: Recherche d'information [cs.IR]

Guy Trambly de Laissardière, Jean-Pierre Julien, Didier Mayou. Numerical evidence of backscattering in approximants of quasicrystals. Philosophical Magazine, 2005, 86 (03-05), pp.663-669. ⟨10.1080/14786430500343892⟩. ⟨hal-00513622⟩