PHYSlCA
ELSEVIER Physica C 341-348 (2000) 935-936
www.elsevier.nl/Iocate/physc
Thermal excitation measured by resistivity measurement on the Mg-doped high temperature
superconductors
Anand Vyas, C.C. Lam, LJ. Shen
Department of Physics and Materials Science, City University of Hong Kong, Hong Kong, P.R.C.
The thermal excitation that starts to occur from the opening temperature T* in the normal state of Mg-doped
YBCO superconductors was studied by the resistivity measurement. There are some characteristic temperatures
T* and TF related to the thermal excitation of quasi-particles during the cooling process. The data of TF are close
to the onset temperature of the superconductors. The magnitude of the pseudo-gap (Ape) can be measured from
the ln[1/gN(T) - 1/9(T)] vs 1/T curve, it depends on the concentration of the magnesium.
1. INTRODUCTION
With reference to previous studies, we link a drop
in p below the extrapolation of its high temperature
linear T dependence with reduction in scattering due
to the opening of the pseudo-gap (PG). Many
investigations in the past showed the existence of
the opening of PG, see Refs. [1-4]. As well known,
T" decreases linearly with increasing charge carrier
density (n). On the other hand, the Mg doping effect
on T¢ shows that n changes due to doping, [5]. In
this work we investigate the relationship between
PG behavior and Mg doping.
2. RESULTS, DISCUSSION & CONCLUSION
Several cuprate samples of nominal composition
YBa~Cu~.xMg~O7.~, with 0.002 < x < 0.048, were
prepared. We show the temperature dependence of
resistivity in Fig. 1. The characteristic temperatures
T~ and T* can be determined from this figure.
Obviously, T ° increases with Mg doping, while Tc
decreases. It is clearly seen that the pseudo-gap
phenomenon is closely related to Mg doping level.
In addition, the p-T curves for Mg doped samples
show a similar positive curvature as seen in the
over-doped regime [6]. Hence, we believe that the
Mg doping in YBCO is favorable to exhibit the
over-doped behavior. To describe the Mg doping
effect on T', T~ is used as an effective indicator of
charge carrier density n. This is based on a fact that
1.0 " ' " ' . . . . G"(x= 0',041 ) "~
0.9 ~.~,~= 0,032} i
08 ~ '~'~ _-- o o=s~
"N o.4
m ~ oo)
-~ 0.3
(~ 0.2
0,1
0.0
41.1 i L h = i
50 100 150 200 250
Temperature (K)
Fig. 1. A plot of resistance vs. T for Mg-doped
YBCO. The T* is indicated in the figure by arrows.
T~ decreases monotonously as n increases in over
doped regime. For studying the relationship between
T* and n, we plot T* against T c in Fig. 2. In over-
doped regime, the relationship between T* and n
shows a linear behavior as suggested by [7] while
that between Tc and n is parabolic. Hence, we can
describe T* in terms of To by:
T* = T ,toe) +a(1 - T / Tc~"=x y 2
(1)
where T *~°PI is the pseudo-gap temperature at
optimum doping, Tc (max) is the maximum critical
temperature of pure system, ct is a fitting parameter.
In Fig. 2, the bold line represents the fitting result
using the above Eq. (1) where T *(°vl = 125 K, et =
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