Da. Vandestraat et al., LOW-TEMPERATURE SPECIFIC-HEAT OF RARE-EARTH-DOPED SILICATE-GLASSES, Physical review. B, Condensed matter, 53(5), 1996, pp. 2179-2182
The specific heat C-upsilon of Pr3+- and Eu3+-doped silicate glasses h
as been determined between 0.1 and 10 K. Below about 5 K, C-upsilon pr
oportional to T-1+upsilon with upsilon=0.0-0.3. This dependence is cha
racteristic for the two-level-system (TLS) contribution to the specifi
c heat, C-upsilon(TLS). The values of C-upsilon(TLS) and upsilon notic
eably vary with the chemical nature and the concentration of the glass
modifiers. The number of TLS in samples of almost identical compositi
on is significantly larger for the Pr3+ doped than for the Eu3+ doped
and the undoped glass. Above 5 K, the T-3-phonon term and the T-5 term
associated with soft localized vibrations also contribute to C-upsilo
n. The results do not point to a correlation between the T-1+upsilon a
nd the higher-order terms.