Bardeen-Stephen flux flow law disobeyed in the high-$T_c$ superconductor Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+δ}$

Pallinger, A.; Sas, B.; Pethes, I.; Vad, K.; Williams, F. I. B.; Kriza, G.

Bardeen-Stephen flux flow law disobeyed in the high-$T_c$ superconductor Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+δ}$

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Description

Pulsed high current experiments in single crystals of the high-$T_{c}$ superconductor Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+δ}$ in c-axis directed magnetic field $H$ reveal that the $ab$-face resistance in the free flux flow regime is a solely logarithmic function of H, devoid of any power law component. Re-analysis of published data confirms this result and leads to empirical analytic forms for the $ab$-plane and c-axis resistivities: $ρ_{ab}\propto$ $H^{3/4}$, which does not obey the expected Bardeen-Stephen result for free flux flow, and $ρ_{c} \propto H^{-3/4} \log^{2}H$.
5 pages, 3 figures. Submitted to Phys. Rev. Lett