The tilt pattern of the CuO6 octahedra in the low-temperature tetragonal (LTT) phase of the cuprate superconductors leads to planar anisotropies for the exchange coupling and hopping integrals. Here, we show that these anisotropies provide a possible structural mechanism for the orientation of stripes. A t(x)-t(y)-J(x)-J(y) model thus serves as an effective Hamiltonian to describe stripe formation and orientation in LTT-phase cuprates.
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