Modeling the electronic transport properties of Al-Cu-Fe phases

The temperature dependence of transport coefficients is theoretically exami ned for Al-Cu-Fe phases. We investigate the electronic conductivity, the th ermoelectric power, the Hall coefficient, the thermalconductivity, and the Lorenz number. The spectral dependence of the resistivity is modeled by mea ns of a wide and a narrow Lorentzian in accordance with results of ab initi o calculations (LMTO-ASA, Kubo-Greenwood formula). This model extracts thos e properties from the ab initio results which are indispensables to consist ently explain the transport coefficients mentioned above. Sub-diffusive tra nsport is found in our ab initio results. The validities of both the Matthi essen rule and the Wiedemann-Franz law are analyzed. We generalize to the b ulk quasicrystal where the narrow Lorentzian is found to become more pronou nced than in the (1/1) approximant. (C) 2001 Elsevier Science B.V. All righ ts reserved.