Stripes in the Ising Limit of Models for the Cuprates

Abstract

The hole-doped standard and extended t-J models on ladders with anisotropic Heisenberg interactions are studied computationally in the interval $0.0 \leq λ\leq 1.0$ ($λ=0$, Ising; $λ=1$, Heisenberg). 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 &#34;extended&#34; 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 $0.0 \leq λ\leq 1.0$ suggests that this picture is valid up to the Heisenberg limit.