M. Niderost et al., LOW-FIELD VORTEX DYNAMICS OVER 7 TIME DECADES IN A BI2SR2CACU2O8-CRYSTAL FOR TEMPERATURES THAN-OR-EQUAL-TO-T-LESS-THAN-OR-EQUAL-TO-83K(DELTA SINGLE), Physical review. B, Condensed matter, 53(14), 1996, pp. 9286-9295
Using a custom-made de superconducting quantum interference device (de
-SQUID) magnetometer, we have measured the time relaxation of the rema
nent magnetization M(rem) of a Bi2Sr2CaCu2O8+delta single crystal from
the fully critical state for temperatures 13 K less than or equal to
T less than or equal to 83 K. The measurements cover a time window of
seven decades 10(-2) s less than or similar to t less than or similar
to 10(5) s, so that the current density j can be studied from values v
ery close to j(c) down to values considerably smaller than j(c). From
the data we have obtained (i) the flux-creep activation barriers U as
a function of current density j, (ii) the current-voltage characterist
ics E(j) in a typical range of 10(-7)-10(-15) V/cm, and (iii) the crit
ical current density j(c)(0) at T=0. Three different regimes of vortex
dynamics are observed: For temperatures T less than or similar to 20
K the activation barrier U(j) is logarithmic, no unique functional dep
endence U(j) could be found for the intermediate-temperature interval
20 K less than or similar to T less than or similar to 40 K, and final
ly for T greater than or similar to 40 K the activation barrier U(j) f
ollows a power-law behavior with an exponent mu similar or equal to 0.
6. From the analysis of the data within the weak collective pinning th
eory for strongly layered superconductors, it is argued that for tempe
ratures T less than or similar to 20 K pancake vortices are pinned ind
ividually, while for temperatures T greater than or similar to 40 K pi
nning involves large collectively pinned vortex bundles. A description
of the vortex dynamics in the intermediate-temperature interval 20 K
less than or similar to T less than or similar to 40 K is given on the
basis of a qualitative low-field phase diagram of the vortex state in
Bi2Sr2CaCu2O8+delta. Within this description a second peak in the mag
netization loop should occur for temperatures between 20 and 40 K, as
has been observed in several magnetization measurements in the literat
ure.