Anisotropy of the Hall effect in a quasi-two-dimensional electron-doped Nd$_{2-x}$Ce$_{x}$CuO$_{4+\delta}$ superconductor

The temperature dependences of the Hall effect of an electron-doped Nd$_{2-x}$Ce$_{x}$CuO$_{4+\delta}$ superconductor have been studied at the antiferromagnet–superconductor quantum phase transition boundary (0.135 $\le x \le$ 0.15) in conducting CuO$_2$ planes and in the direction perpendicular to the CuO$_2$ plane. The hall coefficient between the conducting planes has been found be two orders higher than that in the conducting planes over entire temperature range, which is due to the incoherent character of the charge carrier transfer in the direction of axis $c$.