Spin canting as a result of the competition between stripes and spirals in cuprates

Based on the extended Hubbard model we calculate the energy of stripe and spiral ground states. We find that uniform spirals are favored by a large t'/t ratio but are unstable at small doping, tending toward stripes and checkerboard textures with spin canting. The structure of these inhomogeneities also depends on t'/t and the associated spin currents may induce a small lattice distortion associated with local dipole moments. We discuss a different kind of stripe, which appears as a domain wall of the antiferromagnetic (AF) order parameter with a fractional change of the phase of the AF order. For large vertical bar t'/t vertical bar, spirals can be stabilized under certain conditions in the overdoped regime, which may explain the elastic incommensurate magnetic response recently observed in iron-codoped Bi2201 materials.