Vanishing Hall constant in the stripe phase of cuprates

The Hall constant ${R}_{H}$ is considered for the stripe structures. In order to explain the vanishing of ${R}_{H}$ in ${\mathrm{La}}_{2\ensuremath{-}y\ensuremath{-}x}{\mathrm{Nd}}_{y}{\mathrm{Sr}}_{x}{\mathrm{CuO}}_{4}$ at $x=\frac{1}{8},$ we use the relation of ${R}_{H}$ to the Drude weight D as well as direct numerical calculation to obtain results within the $t\ensuremath{-}J$ model, where the stripes are imposed via a charge potential and a staggered magnetic field. The origin of ${R}_{H}\ensuremath{\sim}0$ is related to a maximum in D and the minimal kinetic energy in stripes with a hole filling $\ensuremath{\sim}\frac{1}{2}.$ The same argument indicates a possibility of ${R}_{H}\ensuremath{\sim}0$ in the whole range of static stripes for $xl~\frac{1}{8}.$