Stripes in the Ising limit of models for the cuprates

The hole-doped standard and extended t-J models on ladders with anisotropic Heisenberg interactions are studied computationally in the interval 0.0<~λ<~1.0 (λ=0, Ising; λ=1, Heisenberg) at small J/t. It is shown that the approximately half-doped stripes recently discussed at λ=1 survive in the anisotropic case (λ<1.0), particularly in the “extended” model. Due to the absence of spin fluctuations in the Ising limit and working in the rung basis, a simple picture emerges in which the stripe structure can be mostly constructed from the solution of the t-J model on chains. A comparison of results in the range 0.0<~λ<~1.0 suggests that this picture is valid up to the Heisenberg limit.