Electronic transport of the icosahedral Zn–Mg–Sc quasicrystal and its 2/1 and 1/1 cubic approximants

Hasegawa, Jun; Tamura, Ryuji; Takeuchi, Shin; Tokiwa, Kazuyasu; Watanabe, Taiki

doi:10.1016/j.jnoncrysol.2003.12.004

Cited by 6 publications

(3 citation statements)

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“…The lattice parameters in the cubic cells for the crystalline phases are 13.85 and 22.19 Å for the 1/1 and 2/1 approximants to i-ZnMgSc [44,45], and 14.21 and 23.0 Å for the corresponding approximants to i-ZnMgAlGa [46]. Apparently electrons in the 2/1 approximants 'see' an almost icosahedral neighbourhood with a mean free path of the order of 20 Å.…”

Section: Discussion Of the Correlationmentioning

confidence: 97%

“…Approximants. Results for i-ZnMgSc and a 2/1 approximant [44,45], are included in the open up-triangles in figure 1 at ρ 295 ≈ 2 × 10 −4 cm. For the 1/1 approximant ρ 295 is smaller and dρ/dT > 0. ρ(T) of the 2/1 approximant closely resembles that of the i-phase, and data for and ρ 295 are only slightly larger for the i-phase.…”

Section: A Mooij-like Correlationmentioning

confidence: 99%

“…Open up-triangles are Zn-based or Zn containing quasicrystals: Zn-Mg-RE with RE = Y, Gd [59] and RE = Y, Er, Ho, Dy, and Tb [60], an RE = Ho alloy subjected to variable annealing temperatures [61], two ZnMgSc qcs [62], ZnMgSc qc [44] and its 2/1 approximation [45], ZnFeSc [63], MgGaAlZn qc and a 2/1 approximant [47], and one sample of a pure i-phase ZnMgAl alloy and one of a mixture of i-ZnMgAl and an amorphous phase [64].…”

Section: Appendixmentioning

confidence: 99%

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Generalization of the Mooij correlation to quasicrystals

Rapp¹

2013

J. Phys.: Condens. Matter

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The Mooij correlation has been generalized to include quasicrystals. The average temperature dependence of the electrical resistivity ρ(T), as estimated from the difference ρ(4.2 K)-ρ(295 K), was found to be correlated with ρ(295 K) over seven orders of magnitude. This relation remains robust for modifications of the samples such as approximants, single grain samples, and samples with properties that vary strongly with annealing. An interesting subset of data is metallic alloys of the type Al-Cu-M (M=Li, Li(Mg), Cu Ru, Os), where ρ(4.2 K)-ρ(295 K) ~ [ρ(295 K)](2).

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Section: Discussion Of the Correlationmentioning

confidence: 97%

Section: A Mooij-like Correlationmentioning

confidence: 99%