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Electronic Transport Properties of Quasicrystals — Experimental Results

  • Östen Rapp
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 126)

Abstract

A first challenging property of quasicrystals (QCs) is their structure which combines long-range order with absence of translational symmetry. One might then conjecture that a metal in this remarkable state of condensed matter would be described as a material in between crystals with long-range periodicity and amorphous (a) metals where long-range order is absent. In the first years of the brief history of QCs it was accordingly expected that also the physical properties of QCs should be in between those of crystalline and a metals of the corresponding chemical composition. This was in fact born out by the early experiments. For instance, the electrical resistivity, p, and the magnitude of the negative temperature derivative, dp/dT, were both found to be smaller for a QC of Pd-U-Si than for the same material in the a state (Poon et al. 1985) and a similar result was observed also in Al-Mn-Si (Kimura et al. 1987) for much larger resistivities in both the a and quasicrystalline phases. This point is also clearly illustrated by the results of Graebner and Chen (1987). Values for several properties were determined or estimated from specific heat and resistivity measurements of superconducting Mg8Zn3Al2 in crystalline, a, and quasicrystalline states. The width of the superconducting transition. ΔT c was comparable in the crystalline and quasicrystalline phases, and normally broadened for the a state. Since ΔT c is usually an excellent measure of sample homogeneity, this result indicates that measured properties were intrinsic, and not due to defects which otherwise hampered the interpretation of many early results on QCs Graebner and Chen (1987) found that the results for the quasicrystalline phase were all in between those of the crystalline and a modifications of the same alloy, including the resistivity, the average temperature derivative of resistivity, the density of states (DOS), the Debye temperature, the sound velocity, the superconducting transition temperature, and the electron-phonon interaction.

Keywords

Fermi Surface Hall Effect World Scientific Thermoelectric Power Hall Coefficient 
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© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Östen Rapp

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