Interplay between incommensurate phases in the cuprates

We establish the qualitative behavior of the incommensurability epsilon optimal domain wall filling nu and chemical potential mu for increasing doping by a systematic slave-boson study of an array of vertical stripes separated by up to d = 11 lattice constants. Our findings obtained in the Hubbard model with the next-nearest neighbor hopping t ' = - 0.15t agree qualitatively with the experimental data for the cuprates in the doping regime x less than or approximate to 1/8. It is found that t ' modifies the optimal filling nu and thus triggers the crossover to the diagonal (1,1) spiral phase at increasing doping, stabilized already at x similar or equal to 0.09 for t ' = -0.3t