F. Gao et al., HIGH-FREQUENCY SURFACE IMPEDANCE AND PENETRATION DEPTH OF YBA2CU3O7 FILMS - COHERENT TIME-DOMAIN SPECTROSCOPY METHOD, IEEE transactions on applied superconductivity, 5(2), 1995, pp. 1970-1974
The transmission (T) and phase shift (theta) of 0.2-1.5 THz radiation
have been measured simultaneously on unpatterned, high-quality YBa2Cu3
O7 films (T-c 90 K) in the normal and superconducting states using a c
oherent, pulsed, time-domain technique. The complex surface impedance
has been extracted without contacting or patterning the superconductin
g films using T and theta. Above T-c, both the real (R(s)) and imagina
ry (X(s)) parts show a metallic root omega T dependence with almost eq
ual magnitude as predicted by the normal skin effect. Below T-c, R(s)
scales with omega(2), but only for omega/2 pi less than or equal to 40
0 GHz; it increases more slowly with frequency above 400 GHz. The reac
tance X(s) is linear in omega for T << T-c, but follows a weaker power
dependence with frequency at higher temperatures, indicating that the
penetration depth is also frequency dependent. We attribute these fea
tures to a rapid decrease of the quasiparticle relaxation rate, 1/tau,
in the super-conducting state (where 1/tau is comparable to the photo
n energy of the THz beam), and a significant influence of the remainin
g normal carriers in the THz regime. Differences between the microwave
and submillimeter-wave responses will be discussed.