Amorphous (a-)Ce-Mn and a-Ce-Ru alloys in Ce high concentration region exhibit a large electronic specific heat coefficient [gamma] (>200 mJ/mol[K.sup.2]) and [T.sup.2] law with a large coefficient A (>0.02 [micro][ohm]cm/K) in the low-temperature resistivity [6-10].
where [gamma]T is the electronic specific heat term and [beta][T.sup.3] is the phonon specific heat term.
It is sensitive to many factors, such as the lattice thermal movement (the phonon specific heat) and the electron thermal movement (the electronic specific heat).
where [gamma]T is the electronic specific heat, [[beta].sub.3][T.sup.3] + [[beta].sub.5][T.sup.5] is the phonon specific heat, [delta][T.sup.n] is the spin wave specific heat (n = 3/2 for ferromagnetic spin wave; n = 2 for anti-ferromagnetic spin wave), and [alpha]/[T.sup.2] is the specific heat of the hyperfine structure .
found the electronic specific heat [gamma] = 15.7 mJ x [mol.sup.-1] x [K.sup.-2] in the polycrystalline [Pr.sub.0.65][Ca.sub.0.35]Mn[O.sub.3] .
Even though there exists the electronic energy state around the Fermi energy which could give rise to the unusual electronic specific heat in the experiment, these localized electrons will not contribute to the electron conductivity.