We have analyzed the varying degrees of disorder (δ  ) on the magnetic-field dependencies of the longitudinal and Hall resistance in electron-doped Ndabeabaa4ff4ffcb54" title="Click to view the MathML source">_2−x${}_{2-\mathrm{x}}$Ce_xCuO_4+δ${}_{4+\delta }$ /SrTiO₃ single crystal films (underdoped region with x = 0.14) near AF-SC phase boundary.

The correlation between the longitudinal electrical resistivity and the Hall resistivity can be analyzed on the basis of scaling relationships: yJSB inlineImage" height="24" width="131" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0921453416300399-si4.gif">${\rho }_{\mathrm{x<font\; color="red">y</font>}}\left(\mathrm{B}\right)\sim {\rho }_{\mathrm{xx}}^{\beta }\left(\mathrm{B}\right)$.

For a set of single-crystal films of Ndabeabaa4ff4ffcb54" title="Click to view the MathML source">_2−x${}_{2-\mathrm{x}}$Ce_xCuO_4+δ${}_{4+\delta }$ /SrTiO₃ the values of β   are 0.8–1.55. These values are substantially less than the theoretical value β=2$\beta =2$ predicted by a widely used phenomenological flux-flow model (especially for hole-doped HTS).

In the most high-quality samples at lowest temperatures scaling exponent tends to distinct universal value, β=1,$\beta =1,$ predicted theoretically by a model for clean d-wave superconductors. An increase in the degree of disorder, the temperature and/or magnetic field rise yield non universal values of β   higher than β=1$\beta =1$ (up to β   = (1.35 – 1.55)). A disorder in the studied samples may be associated both with the nonstoichiometric defects inherent to Ndabeabaa4ff4ffcb54" title="Click to view the MathML source">_2−x${}_{2-\mathrm{x}}$Ce_xCuO_4+δ${}_{4+\delta }$ /SrTiO₃ system and with the specialty of x = 0.14 underdoped compound disposed on a border of the antiferromagnetic and superconducting phases in electron-doped cuprate system.