Two "superconducting transition temperatures" (T(c)s) of CuxBa2CaCu4Oy. wer
e examined by the specific heat measurement. Comparing the specific heat un
der magnetic field (14 T) and that without field, two anomalies were observ
ed in the electronic specific heat. When there are more than two Fermi surf
aces (FSs) and the superconducting gaps do not develop simultaneously in th
ese FSs, we can expect two anomalies. Strictly speaking the second anomaly
at lower temperature (T-c2) is not due to the real phase transition but its
vestige. A theoretical inspection indicates the second anomaly means the i
nter-FS interaction is very weak. If the symmetry of the superconducting ga
p on one FS is different from that on the other. one can expect a drastic s
uppression of the inter-FS interaction. (C) 2001 Elsevier Science B.V. All
rights reserved.