One-Dimensional Metallic Behavior of the Stripe Phase in ${\mathrm{La}}_{2-\mathit{x}}{\mathrm{Sr}}_{\mathit{x}}{\mathrm{CuO}}_4$

Using an exact diagonalization method within the dynamical mean-field theory we found stable stripe phases in the two-dimensional Hubbard model doped by $0.03<\mathrm{}\delta <0.2\mathrm{}$ holes, with a crossover from diagonal to vertical site-centered stripes at doping $\delta \simeq 0.05$. The doping dependence of the size of magnetic domains and chemical potential shift $\Delta \mu \propto -{\delta }^2$ are in quantitative agreement with the experimental results for ${\mathrm{La}}_{2-x}{\mathrm{Sr}}_x{\mathrm{CuO}}_4$. The one-dimensional metallic behavior along the domain walls explains the observed suppression of spectral weight along the Brillouin zone diagonal.