Magnetoresistance of icosahedral Al-Cu-Fe from 80 mK to 80 K

Icosahedral Al62.5{Cu}25.5Fe₁₂ and Al62.5{Cu}₂₅Fe12.5 samples with resistivities at 4 K of about 4500 and 10 000 {μ}{Ω} cm, respectively, have been studied. The magnetoresistance {Δ}{ρ}(B)/{ρ} was measured between 80 mK and 80 K up to 12 T at high temperatures. The results were well described by quantum corrections. The Coulomb interaction parameter F_σ was independently obtained from the low-temperature {Δ}{ρ}(T)/{ρ}, and was found to be in agreement with results from {Δ}{ρ}(B)/{ρ}. The sign change of d{ρ}/dT with increasing resistivity could be ascribed to an increasing F_σ. The inelastic-scattering time τᵢₑ saturated at low temperatures with a larger value for the high-resistivity sample. At 80 K, τᵢₑ was about 10^-13 s. Hence elastic scattering is intense and quasicrystals are electronically disordered materials. It is pointed out that these quasicrystals may be considered as model materials for the application of three-dimensional quantum-correction theories.