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 $0.0 \leq \lambda \leq 1.0$ ($\lambda=0$, Ising; $\lambda=1$, Heisenberg). It is shown that the approximately half-doped stripes recently discussed at $\lambda=1$ survive in the anisotropic case ($\lambda$$<$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 $0.0 \leq \lambda \leq 1.0$ suggests that this picture is valid up to the Heisenberg limit.