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The resistivity tensor correlations $\rho_{xy}$($B$)$\sim$$[\rho_{xx}(B)]^\beta$ for the mixed state magnetic field dependencies of theresistivity tensor of electron-doped Nd$_{2-x}$Ce$_x$CuO$_{4+\delta}$/SrTiO$_3$single crystal films near the antiferromagnetic (AF) - superconducting (SC)phase transition and with varying degree of disorder ($\delta$) were studied.The decrease of $\beta$ from 1.2$\pm$0.2 at $x$ = 0.14 to 0.6$\pm$0.1 at $x$ =0.15 points out on the evidence of the change from the anisotropic $s$ - waveto the $d$ - wave pairing symmetry in the external magnetic field at thetransition from underdoped to optimally doped region. Peculiarities of thepower law dependence of the vortex motion in the mixed state can be connectedwith some features of the nonstoichiometric disorder in layered electron-dopedsuperconductors.

Hall resistivity correlations in disordered electron-doped Nd$_{2-x}$Ce$_x$CuO$_{4+\delta}$ films