The temperature dependence of transport coefficients is theoretically examined for Al-Cu-Fe phases. We investigate the electronic conductivity, the thermoelectric power, the Hall coefficient, the thermalconductivity, and the Lorenz number. The spectral dependence of the resistivity is modeled by means of a wide and a narrow Lorentzian in accordance with results of ab initio calculations (LMTO-ASA, Kubo-Greenwood formula). This model extracts those properties from the ab initio results which are indispensables to consistently explain the transport coefficients mentioned above. Sub-diffusive transport is found in our ab initio results. The validities of both the Matthiessen rule and the Wiedemann-Franz law are analyzed. We generalize to the bulk quasicrystal where the narrow Lorentzian is found to become more pronounced than in the (1/1) approximant.
Bibliographical noteFunding Information:
We are grateful to R. Haberkern, P. Häussler, E. Maciá, and C. Madel for useful discussions and information. This work is supported by the “Deutsche Forschungsgemeinschaft”.
Copyright 2007 Elsevier B.V., All rights reserved.
- Electronic transport
- Icosahedral clusters