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.

Original languageEnglish
Pages (from-to)267-275
Number of pages9
JournalPhysica B: Condensed Matter
Issue number3-4
StatePublished - Aug 2001

Bibliographical note

Funding 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”.


  • Electronic transport
  • Icosahedral clusters
  • Quasicrystals


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