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We present a detailed characterization of the recently discovered i-$R$-Cd($R$ = Y, Gd-Tm) binary quasicrystals by means of x-ray diffraction,temperature-dependent dc and ac magnetization, temperature-dependent resistanceand temperature-dependent specific heat measurements. Structurally, thebroadening of x-ray diffraction peaks found for i-$R$-Cd is dominated byfrozen-in phason strain, which is essentially independent of $R$. i-Y-Cd isweakly diamagnetic and manifests a temperature-independent susceptibility.i-Gd-Cd can be characterized as a spin-glass below 4.6 K via dc magnetizationcusp, a third order non-linear magnetic susceptibility peak, afrequency-dependent freezing temperature and a broad maximum in the specificheat. i-$R$-Cd ($R$ = Ho-Tm) is similar to i-Gd-Cd in terms of featuresobserved in thermodynamic measurements. i-Tb-Cd and i-Dy-Cd do not show a clearcusp in their zero-field-cooled dc magnetization data, but instead show a morerounded, broad local maximum. The resistivity for i-$R$-Cd is of order 300 $\mu\Omega$ cm and weakly temperature-dependent. The characteristic freezingtemperatures for i-$R$-Cd ($R$ = Gd-Tm) deviate from the de Gennes scaling, ina manner consistent with crystal electric field splitting induced local momentanisotropy.

Magnetic and transport properties of i-$R$-Cd icosahedral quasicrystals ($R$ = Y, Gd-Tm)