The Al-27 and Cu-63 spin-lattice relaxation rates were found to contai
n a large T-2 term over a wide temperature range below 400 K in severa
l thermodynamically stable quasicrystalline alloys, including i-AlCuRu
, i-AlPdRe, i-AlCuFe, and the crystalline approximant phase alpha-AlMn
Si. The relaxation mechanism is proven to be electronic in origin. Suc
h nonlinear temperature dependence is shown to be a clear signature of
sharp features in the density of states at the Fermi level. The estim
ated width of this sharp feature is on the order of 20 meV.