Electronic Structure and Transport in Approximants of the Penrose Tiling

• Authors: G. Trambly de Laissardière , A. Szállás , D. Mayou
• Languages of publication: EN

Abstracts

EN

We present numerical calculations of electronic structure and transport in the Penrose approximants. The electronic structure of perfect approximants shows a spiky density of states and a tendency to localization that is more pronounced in the middle of the band. Near the band edges the behavior is more similar to that of free electrons. These calculations of band structure and in particular the band scaling suggest an anomalous quantum diffusion when compared to normal ballistic crystals. This is confirmed by a numerical calculation of quantum diffusion which shows a crossover from normal ballistic propagation at long times to anomalous, possibly insulator-like, behavior at short times. The time scale t^*(E) for this crossover is computed for several approximants and is detailed. The consequences for electronic conductivity are discussed in the context of the relaxation time approximation. The metallic-like or non-metallic-like behavior of the conductivity is dictated by the comparison between the scattering time due to defects and the time scale t^*(E).

Keywords

EN

71.23.Ft; 71.30.+h; 72.15.Rn; 71.23.An

Discipline

• 71.30.+h: Metal-insulator transitions and other electronic transitions
• 71.23.Ft: Quasicrystals
• 72.15.Rn: Localization effects (Anderson or weak localization)
• 71.23.An: Theories and models; localized states

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 2
• Pages: 617-620

Dates

published

2014-08

Contributors

author

G. Trambly de Laissardière

• Laboratoire de Physique Théorique et Modélisation, CNRS and Université de Cergy-Pontoise F-95302 Cergy-Pontoise, France

author

A. Szállás

• Wigner Research Centre for Physics, P.O. Box 49, H-1525 Budapest, Hungary

author

D. Mayou

• Univ. Grenoble Alpes, CNRS, Institut NEEL, F-38042 Grenoble, France

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Identifiers

DOI

10.12693/APhysPolA.126.617